BranchesTags

Repository files navigation

Curated: The List of Clear Knowledge.

As the title says! recently, I become deep into special areas, and references became increasingly "dirty". So, here I'm setting the top-ranked and clear references. Classified by specialty.

  • The list contains resources written in non-English languages. You can figure it out by in LANG.
  • This list is not for school students! usually, these references need prerequisites to understand.
  • Don't consider the classification as a final fact, especially in mathematics.

[Copyrights] - [Contribution] - [Topics] - [Featured Authors] - [AR List]

Changelog

  • 22 / Jul / 2023: I uploaded some references here. Consider it as a backup.
  • 14 / Aug / 2023: You can sponsor the project to maintain & continue gathering the resources from here.
  • 18 / Mar / 2025: Music Theory, Composition added.
  • 09 / Jan / 2026: Commutative Algebra added.
  • 12 / Jan / 2026: Added to Algebraic Number Theory, and Number Theory.
  • 1 / Feb / 2026: You can now donate by Bitcoin: bitcoin:bc1qwam56zxa5lpt2wflu7hmfw8nxwelygvagq6sm8?message=Curated.

Table of Content

Mathematics

Mathematician's Work & Career

  • Pólya, G. How to Solve It.
  • Tao, T. Solving Mathematical Problems. [Online]
  • Hamkins, J. D. Proof and the Art of Mathematics. [Online]
  • Hamkins, J. D. Lectures on the Philosophy of Mathematics. [Online]
  • Paper -Tao, T. What is Good Mathemtatics? [PDF]
  • Paper -Thurston, W. P. On Proof and Progress in Mathematics. [PDF]
  • Paper -Poincaré, H. Intuition and Logic in Mathematics. [Online]
  • Lang, S. The Beauty of Doing Mathematics. [Online]

Alan Beardon, has two books [1],[2] I think it's good, but I cannot officially list it, since I didn't read them yet.

Mathematical Logic

  • Smullyan, R. M. Gödel's Incompleteness Theorems. [Online]
  • Lakatos, I. Proofs and Refutations: The Logic of Mathematical Discovery. [Online][PDF]

Category Theory

  • Smith, P. Category Theory I: Notes Towards a Gentle Introduction. [Online]
  • Smith, P. Category Theory II: More Notes Towards a Gentle Introduction. [Online]
  • Leinster, T. Basic Category Theory. [Online]

Abstract Algebra

  • Fraleigh, John B. A First Course in Abstract Algebra.
  • Paper - In Arabic -AlYasry, A. The Concept of Equivalence and its Classes in Mathematics. [Online]
  • Lang, S. Undergraduate Algebra. [Online]

Commutative Algebra

  • Atiyah, M. F., & MacDonald, I. G. Introduction to Commutative Algebra. [PDF]

Number Theory

  • Serre, J. P. A Course in Arithmetic1. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: Basic Tools. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: The Proof. [Online]

Analytic Number Theory

  • Lang, S. Elliptic Functions. [Online]

Algebraic Number Theory

  • Lang, S. Algebraic Number Theory. [Online]
  • Hardy, G. H., and Wright, E. M. An Introduction to the Theory of Numbers. [PDF]
  • Ono, T. An Introduction to Algebraic Number Theory. [Online]

Geometric Number Theory

  • MIT Course. Introduction To Arithmetic Geometry. [Online]

Partition Theory

TODO

Ring Theory

  • Kleiner, I. From Numbers to Rings: The Early History of Ring Theory. [Online][PDF]

Mathematical Analysis

  • Ruden, W. Principles of Mathematical Analysis. [Online]
  • Ruden, W. Real and Complex Analysis.
  • Keisler, H. J. Elementary Calculus: An Infinitesimal Approach. [Online & PDF]
  • Lang, S. Undergraduate Analysis. [Online]
  • Lang, S. Real and Functional Analysis. [Online]

Real Analysis

  • Tao, T. Analysis I.
  • Tao, T. Analysis II.
  • Beardon, A. Limits: A New Approach to Real Analysis. [Online]
  • Paper -Tao, T. Compactness and Compactification. [PDF]
  • Paper -Raman-Sundstrom, M. A Pedagogical History of Compactness. [PDF]

Complex Analysis

  • Needham, T. Visual Complex Analysis.
  • Beautiful Paper -Velleman, D. The Fundamental Theorem of Algebra: A Visual Approach. [PDF]
  • Lang, S. Complex Analysis. [Online]

Fourier Analysis

TODO

Functional Analysis

  • Debnath, L. & Mikusinski, P. Introduction to Hilbert Spaces with Applications.
  • Ruden, W. Functional Analysis.

Harmonic Analysis

TODO

Spectral Theory

TODO

Measure Theory

  • Tao, T. An Introduction to Measure Theory. [Online]

Differential Equations

Ordinary Differential Equations (ODE)

TODO

Partial Differential Equations (PDE)

  • Craig, W. A Course on Partial Differential Equations. [Online]

Geometry

Euclidean and Non-Euclidean Geometry

  • Beardon, A. Algebra and Geometry.

Differential Geometry

  • Abate, M. & Tovena, F. Curves and Surfaces.
  • Tu, W. L. Differential Geometry: Connections, Curvature, and Characteristic Classes. [PDF][Online]
  • Lang, S. Fundamentals of Differential Geometry. [Online]
  • Spivak, M. A Comprehensive Introduction to Differential Geometry (4 Volumes). [Online]
  • Petersen, P. Classical Differential Geometry. [PDF]

Topological Geometry

  • Porteous, I. R. Topological Geometry. [Online] [PDF]

Topology

  • Munkres, J. R. Topology.
  • Hatcher, A. Notes on Introductory Point-Set Topology. [Online]
  • Khatchatourian I. MAT327 • TOPOLOGY. [Online]
  • AlYasry, A. Lectures in Advance Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Simple Explanations in Topology and Ideas of High Dimensions. [Online]
  • Armstrong, M. A. Basic Topology. [Online]

Algebraic Topology

  • Hatcher, A. Algebraic Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Homology. [Online]

Knot Theory

  • AlYasry, A. Knot Theory. [Online]

Manifolds

  • Thurston, W. P. Geometry and Topology of Three-manifolds. [Online]
  • Thurston, W. P. How to See 3-Manifolds. [PDF]
  • Paper -Tao, T. Ricci flow. [PDF]
  • Knopf, D. & Chow, B. The Ricci Flow: An Introduction. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part I: Geometric Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects. [PDF][Online]
  • Tu, W. L. An Introduction to Manifolds. [PDF][Online]
  • Petersen, P. Manifold Theory. [PDF]

Riemann Geometry

  • Petersen, P. Riemann Geometry. [Online]

Riemann Surfaces

  • Beardon, A. A Primer on Riemann Surfaces. [Online]

Graph Theory

  • Wilson, R. J. Introduction to Graph Theory. [Online][PDF]

Theory of Expander Graphs

Surveys
  • Goldreich, O. Basic Facts about Expander Graphs. [Online]
  • Hoory, S. & Linial, N. & Wigderson, A. Expander Graphs and Their Applications. [PDF]

Theory of Hypergraph

TODO

Combinatorics

TODO

Game Theory

TODO

Computer Science

Theoretical Computer Science

  • Sipser, M. Introduction to The Theory of Computation.
  • Arora, S. & Barak, B. Computational Complexity: A Modern Approach. [Online]
  • Barak, B. Introduction to Theoretical Computer Science. [Online]
  • Wigderson, A. Mathematics and Computation: A Theory Revolutionizing Technology and Science. [Online]
  • Hopcroft, J. Introduction to Automata Theory, Languages, and Computation. [Online]
  • Papadimitriou, C. Computational Complexity. [Online]
  • Lewis, C. & Papadimitriou, C. Elements of the Theory of Computation. [Online]
  • Essential Paper -Shannon, C. E. A Mathematical Theory of Communication. [PDF]
  • Essential Paper -Cook, S. A. The Complexity of Theorem-Proving Procedures. [Online][PDF Old][PDF Modern]
  • Essential Paper -Turing, A. On Computable Numbers, with an Application to the Entscheidungs problem. [Online]
  • Paper -Valiant, L. G. Three Problems in Computer Science. [Online]

Randomness and Pseudo-Randomness

Surveys

  • Various Authors. On the works of Avi Wigderson. [Online][PDF]
  • Aaronson, S. P =? NP. [PDF]
  • Vadhan, S. The Unified Theory of Pseudorandomness. [Online][PDF]

Cryptography

  • Goldreich, O. Foundations of Cryptography: A Primer. [Online]
  • Goldreich, O. The Foundations of Cryptography. [Online]
  • Paper -Kleppmann, M. Implementing Curve25519/X25519: A Tutorial on Elliptic Curve Cryptography. [PDF]

Artificial Intelligence

  • Russell, S. & Norving, P. Artificial Intelligence: A Modern Approach. [Online]
  • Paper -Valiant, L. G. A Theory of The Learnable. [PDF]

Algorithms and Data Structures

  • Knuth, D. The Art of Computer Programming. No one completes it, either Donald himself!!

Programming Languages

Erlang Programming Language

  • Armstrong, J. A History of Erlang. [Online]

C Programming Language

  • Kernighan, B. W. & Ritchie, D. M. The C Programming Language.

C++ Programming Language

  • Stroustrup, B. The C++ Programming Language. [Online]

Go Programming Language

  • Donovan, A. & Kernighan, B. The Go Programming Language. [Online]

Compilers

  • Essential Paper -Thompson, K. Reflections on Trusting Trust. [PDF]

Operating Systems

Linux Environment

  • LSB Workgroup, The Linux Foundation. Filesystem Hierarchy Standard. [Online]

Networks

TODO

Security

DISCLAIMER: All resources are listed for learning and white-use purposes. We carry no responsibility regarding any abuse.

  • Erickson, J. Hacking: The Art of Exploitation.

Software Engineering

Design Patterns

  • Gamma, E. & Helm, R. & Johnson, R. & Vlissides, J. 2 Design Patterns: Elements of Reusable Object-Oriented Software. [Online]

Statistics

Causal Inference

  • Pearl, J. Causal Inference in Statistics: A Primer. [Online]
  • Pearl, J. CAUSALITY. [Online]

Medicine

Surgery

  • Schwartz, S. I. Principles of Surgery. [Online]

Gastroenterology

  • Yamada, T. Textbook of Gastroenterology. [Online]

Cardiology

TODO

Interventional Cardiology

TODO

Oncology

TODO

Orthopaedics

TODO

Ophthalmology

TODO

Pediatrics

TODO

Dermatology

TODO

Psychology

Neurophysiology

  • Carpenter, R. & Reddi, B. Neurophysiology: A Conceptual Approach. [Online]

Music

Composition

  • Schoenberg, A. Fundamentals of Musical Composition. [Online]
  • Sturman, P. Harmony, Melody & Composition. [Online]

Notation

  • Gould, E. Behind Bars: The Definitive Guide to Music Notation. [Online]

Translations

Mathematical Subjects

Footnotes

  1. The book isn't that easy. Here are some annotations for it [1],[2]. ↩

  2. Also known as "Big Four" or "Gang of Four". ↩

About

The List of Clear Knowledge.

curated.faares.com

Resources

Readme
Activity

Stars

1 star

Watchers

1 watching

Forks

1 fork
Report repository

Contributors

Languages

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Add copy buttons to all 
 blocks\n(function() {\n function addCopyButtons() {\n document.querySelectorAll('pre code').forEach(function(codeBlock) {\n if (codeBlock.parentElement.hasAttribute('data-copy-added')) return;\n codeBlock.parentElement.setAttribute('data-copy-added', 'true');\n \n var btn = document.createElement('button');\n btn.textContent = 'Copy';\n btn.style.cssText = 'position:absolute;top:4px;right:4px;padding:2px 8px;font-size:11px;background:#4ecdc4;border:none;border-radius:4px;color:#1a1a2e;cursor:pointer;opacity:0.7;transition:opacity 0.2s;';\n btn.onmouseover = function() { this.style.opacity = '1'; };\n btn.onmouseout = function() { this.style.opacity = '0.7'; };\n btn.onclick = function() {\n navigator.clipboard.writeText(codeBlock.textContent).then(function() {\n btn.textContent = 'Copied!';\n setTimeout(function() { btn.textContent = 'Copy'; }, 1500);\n });\n };\n codeBlock.parentElement.style.position = 'relative';\n codeBlock.parentElement.appendChild(btn);\n });\n }\n \n addCopyButtons();\n \n // Re-run on dynamic content\n var observer = new MutationObserver(addCopyButtons);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Add Copy Buttons to Code Blocks");
}
} catch(__e) { console.warn('[Userscript:Add Copy Buttons to Code Blocks]', __e); }
})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '

Skip to content
BranchesTags
Repository files navigation
Curated: The List of Clear Knowledge.
As the title says! recently, I become deep into special areas, and references became increasingly "dirty". So, here I'm setting the top-ranked and clear references. Classified by specialty.
  • The list contains resources written in non-English languages. You can figure it out by in LANG.
  • This list is not for school students! usually, these references need prerequisites to understand.
  • Don't consider the classification as a final fact, especially in mathematics.
[Copyrights] - [Contribution] - [Topics] - [Featured Authors] - [AR List]
Changelog
  • 22 / Jul / 2023: I uploaded some references here. Consider it as a backup.
  • 14 / Aug / 2023: You can sponsor the project to maintain & continue gathering the resources from here.
  • 18 / Mar / 2025: Music Theory, Composition added.
  • 09 / Jan / 2026: Commutative Algebra added.
  • 12 / Jan / 2026: Added to Algebraic Number Theory, and Number Theory.
  • 1 / Feb / 2026: You can now donate by Bitcoin: bitcoin:bc1qwam56zxa5lpt2wflu7hmfw8nxwelygvagq6sm8?message=Curated.
Table of Content
Mathematics
Mathematician's Work & Career
  • Pólya, G. How to Solve It.
  • Tao, T. Solving Mathematical Problems. [Online]
  • Hamkins, J. D. Proof and the Art of Mathematics. [Online]
  • Hamkins, J. D. Lectures on the Philosophy of Mathematics. [Online]
  • Paper -Tao, T. What is Good Mathemtatics? [PDF]
  • Paper -Thurston, W. P. On Proof and Progress in Mathematics. [PDF]
  • Paper -Poincaré, H. Intuition and Logic in Mathematics. [Online]
  • Lang, S. The Beauty of Doing Mathematics. [Online]
Alan Beardon, has two books [1],[2] I think it's good, but I cannot officially list it, since I didn't read them yet.
Mathematical Logic
  • Smullyan, R. M. Gödel's Incompleteness Theorems. [Online]
  • Lakatos, I. Proofs and Refutations: The Logic of Mathematical Discovery. [Online][PDF]
Category Theory
  • Smith, P. Category Theory I: Notes Towards a Gentle Introduction. [Online]
  • Smith, P. Category Theory II: More Notes Towards a Gentle Introduction. [Online]
  • Leinster, T. Basic Category Theory. [Online]
Abstract Algebra
  • Fraleigh, John B. A First Course in Abstract Algebra.
  • Paper - In Arabic -AlYasry, A. The Concept of Equivalence and its Classes in Mathematics. [Online]
  • Lang, S. Undergraduate Algebra. [Online]
Commutative Algebra
  • Atiyah, M. F., & MacDonald, I. G. Introduction to Commutative Algebra. [PDF]
Number Theory
  • Serre, J. P. A Course in Arithmetic1. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: Basic Tools. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: The Proof. [Online]
Analytic Number Theory
  • Lang, S. Elliptic Functions. [Online]
Algebraic Number Theory
  • Lang, S. Algebraic Number Theory. [Online]
  • Hardy, G. H., and Wright, E. M. An Introduction to the Theory of Numbers. [PDF]
  • Ono, T. An Introduction to Algebraic Number Theory. [Online]
Geometric Number Theory
  • MIT Course. Introduction To Arithmetic Geometry. [Online]
Partition Theory
TODO
Ring Theory
  • Kleiner, I. From Numbers to Rings: The Early History of Ring Theory. [Online][PDF]
Mathematical Analysis
  • Ruden, W. Principles of Mathematical Analysis. [Online]
  • Ruden, W. Real and Complex Analysis.
  • Keisler, H. J. Elementary Calculus: An Infinitesimal Approach. [Online & PDF]
  • Lang, S. Undergraduate Analysis. [Online]
  • Lang, S. Real and Functional Analysis. [Online]
Real Analysis
  • Tao, T. Analysis I.
  • Tao, T. Analysis II.
  • Beardon, A. Limits: A New Approach to Real Analysis. [Online]
  • Paper -Tao, T. Compactness and Compactification. [PDF]
  • Paper -Raman-Sundstrom, M. A Pedagogical History of Compactness. [PDF]
Complex Analysis
  • Needham, T. Visual Complex Analysis.
  • Beautiful Paper -Velleman, D. The Fundamental Theorem of Algebra: A Visual Approach. [PDF]
  • Lang, S. Complex Analysis. [Online]
Fourier Analysis
TODO
Functional Analysis
  • Debnath, L. & Mikusinski, P. Introduction to Hilbert Spaces with Applications.
  • Ruden, W. Functional Analysis.
Harmonic Analysis
TODO
Spectral Theory
TODO
Measure Theory
  • Tao, T. An Introduction to Measure Theory. [Online]
Differential Equations
Ordinary Differential Equations (ODE)
TODO
Partial Differential Equations (PDE)
  • Craig, W. A Course on Partial Differential Equations. [Online]
Geometry
Euclidean and Non-Euclidean Geometry
  • Beardon, A. Algebra and Geometry.
Differential Geometry
  • Abate, M. & Tovena, F. Curves and Surfaces.
  • Tu, W. L. Differential Geometry: Connections, Curvature, and Characteristic Classes. [PDF][Online]
  • Lang, S. Fundamentals of Differential Geometry. [Online]
  • Spivak, M. A Comprehensive Introduction to Differential Geometry (4 Volumes). [Online]
  • Petersen, P. Classical Differential Geometry. [PDF]
Topological Geometry
  • Porteous, I. R. Topological Geometry. [Online] [PDF]
Topology
  • Munkres, J. R. Topology.
  • Hatcher, A. Notes on Introductory Point-Set Topology. [Online]
  • Khatchatourian I. MAT327 • TOPOLOGY. [Online]
  • AlYasry, A. Lectures in Advance Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Simple Explanations in Topology and Ideas of High Dimensions. [Online]
  • Armstrong, M. A. Basic Topology. [Online]
Algebraic Topology
  • Hatcher, A. Algebraic Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Homology. [Online]
Knot Theory
  • AlYasry, A. Knot Theory. [Online]
Manifolds
  • Thurston, W. P. Geometry and Topology of Three-manifolds. [Online]
  • Thurston, W. P. How to See 3-Manifolds. [PDF]
  • Paper -Tao, T. Ricci flow. [PDF]
  • Knopf, D. & Chow, B. The Ricci Flow: An Introduction. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part I: Geometric Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects. [PDF][Online]
  • Tu, W. L. An Introduction to Manifolds. [PDF][Online]
  • Petersen, P. Manifold Theory. [PDF]
Riemann Geometry
  • Petersen, P. Riemann Geometry. [Online]
Riemann Surfaces
  • Beardon, A. A Primer on Riemann Surfaces. [Online]
Graph Theory
  • Wilson, R. J. Introduction to Graph Theory. [Online][PDF]
Theory of Expander Graphs
Surveys
  • Goldreich, O. Basic Facts about Expander Graphs. [Online]
  • Hoory, S. & Linial, N. & Wigderson, A. Expander Graphs and Their Applications. [PDF]
Theory of Hypergraph
TODO
Combinatorics
TODO
Game Theory
TODO
Computer Science
Theoretical Computer Science
  • Sipser, M. Introduction to The Theory of Computation.
  • Arora, S. & Barak, B. Computational Complexity: A Modern Approach. [Online]
  • Barak, B. Introduction to Theoretical Computer Science. [Online]
  • Wigderson, A. Mathematics and Computation: A Theory Revolutionizing Technology and Science. [Online]
  • Hopcroft, J. Introduction to Automata Theory, Languages, and Computation. [Online]
  • Papadimitriou, C. Computational Complexity. [Online]
  • Lewis, C. & Papadimitriou, C. Elements of the Theory of Computation. [Online]
  • Essential Paper -Shannon, C. E. A Mathematical Theory of Communication. [PDF]
  • Essential Paper -Cook, S. A. The Complexity of Theorem-Proving Procedures. [Online][PDF Old][PDF Modern]
  • Essential Paper -Turing, A. On Computable Numbers, with an Application to the Entscheidungs problem. [Online]
  • Paper -Valiant, L. G. Three Problems in Computer Science. [Online]
Randomness and Pseudo-Randomness
Surveys
  • Various Authors. On the works of Avi Wigderson. [Online][PDF]
  • Aaronson, S. P =? NP. [PDF]
  • Vadhan, S. The Unified Theory of Pseudorandomness. [Online][PDF]
Cryptography
  • Goldreich, O. Foundations of Cryptography: A Primer. [Online]
  • Goldreich, O. The Foundations of Cryptography. [Online]
  • Paper -Kleppmann, M. Implementing Curve25519/X25519: A Tutorial on Elliptic Curve Cryptography. [PDF]
Artificial Intelligence
  • Russell, S. & Norving, P. Artificial Intelligence: A Modern Approach. [Online]
  • Paper -Valiant, L. G. A Theory of The Learnable. [PDF]
Algorithms and Data Structures
  • Knuth, D. The Art of Computer Programming. No one completes it, either Donald himself!!
Programming Languages
Erlang Programming Language
  • Armstrong, J. A History of Erlang. [Online]
C Programming Language
  • Kernighan, B. W. & Ritchie, D. M. The C Programming Language.
C++ Programming Language
  • Stroustrup, B. The C++ Programming Language. [Online]
Go Programming Language
  • Donovan, A. & Kernighan, B. The Go Programming Language. [Online]
Compilers
  • Essential Paper -Thompson, K. Reflections on Trusting Trust. [PDF]
Operating Systems
Linux Environment
  • LSB Workgroup, The Linux Foundation. Filesystem Hierarchy Standard. [Online]
Networks
TODO
Security
DISCLAIMER:
All resources are listed for learning and white-use purposes.
We carry no responsibility regarding any abuse.
  • Erickson, J. Hacking: The Art of Exploitation.
Software Engineering
Design Patterns
  • Gamma, E. & Helm, R. & Johnson, R. & Vlissides, J. 2 Design Patterns: Elements of Reusable Object-Oriented Software. [Online]
Statistics
Causal Inference
  • Pearl, J. Causal Inference in Statistics: A Primer. [Online]
  • Pearl, J. CAUSALITY. [Online]
Medicine
Surgery
  • Schwartz, S. I. Principles of Surgery. [Online]
Gastroenterology
  • Yamada, T. Textbook of Gastroenterology. [Online]
Cardiology
TODO
Interventional Cardiology
TODO
Oncology
TODO
Orthopaedics
TODO
Ophthalmology
TODO
Pediatrics
TODO
Dermatology
TODO
Psychology
Neurophysiology
  • Carpenter, R. & Reddi, B. Neurophysiology: A Conceptual Approach. [Online]
Music
Composition
  • Schoenberg, A. Fundamentals of Musical Composition. [Online]
  • Sturman, P. Harmony, Melody & Composition. [Online]
Notation
  • Gould, E. Behind Bars: The Definitive Guide to Music Notation. [Online]
Translations
Mathematical Subjects
Footnotes
  1. The book isn't that easy. Here are some annotations for it [1],[2]. ↩
  2. Also known as "Big Four" or "Gang of Four". ↩
About
The List of Clear Knowledge.
curated.faares.com
Resources
Readme
Activity
Stars
1 star
Watchers
1 watching
Forks
1 fork
Report repository
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Force GitHub README to respect dark mode\n(function() {\n var style = document.createElement('style');\n style.textContent = '\n .markdown-body {\n color-scheme: dark light;\n }\n .markdown-body pre { background: #161b22 !important; }\n .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }\n .markdown-body table th, .markdown-body table td { border-color: #30363d !important; }\n .markdown-body img { background: #0d1117; }\n .markdown-body blockquote { border-left-color: #8b949e; }\n .markdown-body hr { border-color: #30363d; }\n ';\n document.head.appendChild(style);\n})();", "GitHub Dark Mode README Fix");
}
} catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Curated: The List of Clear Knowledge.
As the title says! recently, I become deep into special areas, and references became increasingly "dirty". So, here I'm setting the top-ranked and clear references. Classified by specialty.
  • The list contains resources written in non-English languages. You can figure it out by in LANG.
  • This list is not for school students! usually, these references need prerequisites to understand.
  • Don't consider the classification as a final fact, especially in mathematics.
[Copyrights] - [Contribution] - [Topics] - [Featured Authors] - [AR List]
Changelog
  • 22 / Jul / 2023: I uploaded some references here. Consider it as a backup.
  • 14 / Aug / 2023: You can sponsor the project to maintain & continue gathering the resources from here.
  • 18 / Mar / 2025: Music Theory, Composition added.
  • 09 / Jan / 2026: Commutative Algebra added.
  • 12 / Jan / 2026: Added to Algebraic Number Theory, and Number Theory.
  • 1 / Feb / 2026: You can now donate by Bitcoin: bitcoin:bc1qwam56zxa5lpt2wflu7hmfw8nxwelygvagq6sm8?message=Curated.
Table of Content
Mathematics
Mathematician's Work & Career
  • Pólya, G. How to Solve It.
  • Tao, T. Solving Mathematical Problems. [Online]
  • Hamkins, J. D. Proof and the Art of Mathematics. [Online]
  • Hamkins, J. D. Lectures on the Philosophy of Mathematics. [Online]
  • Paper -Tao, T. What is Good Mathemtatics? [PDF]
  • Paper -Thurston, W. P. On Proof and Progress in Mathematics. [PDF]
  • Paper -Poincaré, H. Intuition and Logic in Mathematics. [Online]
  • Lang, S. The Beauty of Doing Mathematics. [Online]
Alan Beardon, has two books [1],[2] I think it's good, but I cannot officially list it, since I didn't read them yet.
Mathematical Logic
  • Smullyan, R. M. Gödel's Incompleteness Theorems. [Online]
  • Lakatos, I. Proofs and Refutations: The Logic of Mathematical Discovery. [Online][PDF]
Category Theory
  • Smith, P. Category Theory I: Notes Towards a Gentle Introduction. [Online]
  • Smith, P. Category Theory II: More Notes Towards a Gentle Introduction. [Online]
  • Leinster, T. Basic Category Theory. [Online]
Abstract Algebra
  • Fraleigh, John B. A First Course in Abstract Algebra.
  • Paper - In Arabic -AlYasry, A. The Concept of Equivalence and its Classes in Mathematics. [Online]
  • Lang, S. Undergraduate Algebra. [Online]
Commutative Algebra
  • Atiyah, M. F., & MacDonald, I. G. Introduction to Commutative Algebra. [PDF]
Number Theory
  • Serre, J. P. A Course in Arithmetic1. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: Basic Tools. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: The Proof. [Online]
Analytic Number Theory
  • Lang, S. Elliptic Functions. [Online]
Algebraic Number Theory
  • Lang, S. Algebraic Number Theory. [Online]
  • Hardy, G. H., and Wright, E. M. An Introduction to the Theory of Numbers. [PDF]
  • Ono, T. An Introduction to Algebraic Number Theory. [Online]
Geometric Number Theory
  • MIT Course. Introduction To Arithmetic Geometry. [Online]
Partition Theory
TODO
Ring Theory
  • Kleiner, I. From Numbers to Rings: The Early History of Ring Theory. [Online][PDF]
Mathematical Analysis
  • Ruden, W. Principles of Mathematical Analysis. [Online]
  • Ruden, W. Real and Complex Analysis.
  • Keisler, H. J. Elementary Calculus: An Infinitesimal Approach. [Online & PDF]
  • Lang, S. Undergraduate Analysis. [Online]
  • Lang, S. Real and Functional Analysis. [Online]
Real Analysis
  • Tao, T. Analysis I.
  • Tao, T. Analysis II.
  • Beardon, A. Limits: A New Approach to Real Analysis. [Online]
  • Paper -Tao, T. Compactness and Compactification. [PDF]
  • Paper -Raman-Sundstrom, M. A Pedagogical History of Compactness. [PDF]
Complex Analysis
  • Needham, T. Visual Complex Analysis.
  • Beautiful Paper -Velleman, D. The Fundamental Theorem of Algebra: A Visual Approach. [PDF]
  • Lang, S. Complex Analysis. [Online]
Fourier Analysis
TODO
Functional Analysis
  • Debnath, L. & Mikusinski, P. Introduction to Hilbert Spaces with Applications.
  • Ruden, W. Functional Analysis.
Harmonic Analysis
TODO
Spectral Theory
TODO
Measure Theory
  • Tao, T. An Introduction to Measure Theory. [Online]
Differential Equations
Ordinary Differential Equations (ODE)
TODO
Partial Differential Equations (PDE)
  • Craig, W. A Course on Partial Differential Equations. [Online]
Geometry
Euclidean and Non-Euclidean Geometry
  • Beardon, A. Algebra and Geometry.
Differential Geometry
  • Abate, M. & Tovena, F. Curves and Surfaces.
  • Tu, W. L. Differential Geometry: Connections, Curvature, and Characteristic Classes. [PDF][Online]
  • Lang, S. Fundamentals of Differential Geometry. [Online]
  • Spivak, M. A Comprehensive Introduction to Differential Geometry (4 Volumes). [Online]
  • Petersen, P. Classical Differential Geometry. [PDF]
Topological Geometry
  • Porteous, I. R. Topological Geometry. [Online] [PDF]
Topology
  • Munkres, J. R. Topology.
  • Hatcher, A. Notes on Introductory Point-Set Topology. [Online]
  • Khatchatourian I. MAT327 • TOPOLOGY. [Online]
  • AlYasry, A. Lectures in Advance Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Simple Explanations in Topology and Ideas of High Dimensions. [Online]
  • Armstrong, M. A. Basic Topology. [Online]
Algebraic Topology
  • Hatcher, A. Algebraic Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Homology. [Online]
Knot Theory
  • AlYasry, A. Knot Theory. [Online]
Manifolds
  • Thurston, W. P. Geometry and Topology of Three-manifolds. [Online]
  • Thurston, W. P. How to See 3-Manifolds. [PDF]
  • Paper -Tao, T. Ricci flow. [PDF]
  • Knopf, D. & Chow, B. The Ricci Flow: An Introduction. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part I: Geometric Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects. [PDF][Online]
  • Tu, W. L. An Introduction to Manifolds. [PDF][Online]
  • Petersen, P. Manifold Theory. [PDF]
Riemann Geometry
  • Petersen, P. Riemann Geometry. [Online]
Riemann Surfaces
  • Beardon, A. A Primer on Riemann Surfaces. [Online]
Graph Theory
  • Wilson, R. J. Introduction to Graph Theory. [Online][PDF]
Theory of Expander Graphs
Surveys
  • Goldreich, O. Basic Facts about Expander Graphs. [Online]
  • Hoory, S. & Linial, N. & Wigderson, A. Expander Graphs and Their Applications. [PDF]
Theory of Hypergraph
TODO
Combinatorics
TODO
Game Theory
TODO
Computer Science
Theoretical Computer Science
  • Sipser, M. Introduction to The Theory of Computation.
  • Arora, S. & Barak, B. Computational Complexity: A Modern Approach. [Online]
  • Barak, B. Introduction to Theoretical Computer Science. [Online]
  • Wigderson, A. Mathematics and Computation: A Theory Revolutionizing Technology and Science. [Online]
  • Hopcroft, J. Introduction to Automata Theory, Languages, and Computation. [Online]
  • Papadimitriou, C. Computational Complexity. [Online]
  • Lewis, C. & Papadimitriou, C. Elements of the Theory of Computation. [Online]
  • Essential Paper -Shannon, C. E. A Mathematical Theory of Communication. [PDF]
  • Essential Paper -Cook, S. A. The Complexity of Theorem-Proving Procedures. [Online][PDF Old][PDF Modern]
  • Essential Paper -Turing, A. On Computable Numbers, with an Application to the Entscheidungs problem. [Online]
  • Paper -Valiant, L. G. Three Problems in Computer Science. [Online]
Randomness and Pseudo-Randomness
Surveys
  • Various Authors. On the works of Avi Wigderson. [Online][PDF]
  • Aaronson, S. P =? NP. [PDF]
  • Vadhan, S. The Unified Theory of Pseudorandomness. [Online][PDF]
Cryptography
  • Goldreich, O. Foundations of Cryptography: A Primer. [Online]
  • Goldreich, O. The Foundations of Cryptography. [Online]
  • Paper -Kleppmann, M. Implementing Curve25519/X25519: A Tutorial on Elliptic Curve Cryptography. [PDF]
Artificial Intelligence
  • Russell, S. & Norving, P. Artificial Intelligence: A Modern Approach. [Online]
  • Paper -Valiant, L. G. A Theory of The Learnable. [PDF]
Algorithms and Data Structures
  • Knuth, D. The Art of Computer Programming. No one completes it, either Donald himself!!
Programming Languages
Erlang Programming Language
  • Armstrong, J. A History of Erlang. [Online]
C Programming Language
  • Kernighan, B. W. & Ritchie, D. M. The C Programming Language.
C++ Programming Language
  • Stroustrup, B. The C++ Programming Language. [Online]
Go Programming Language
  • Donovan, A. & Kernighan, B. The Go Programming Language. [Online]
Compilers
  • Essential Paper -Thompson, K. Reflections on Trusting Trust. [PDF]
Operating Systems
Linux Environment
  • LSB Workgroup, The Linux Foundation. Filesystem Hierarchy Standard. [Online]
Networks
TODO
Security
DISCLAIMER:
All resources are listed for learning and white-use purposes.
We carry no responsibility regarding any abuse.
  • Erickson, J. Hacking: The Art of Exploitation.
Software Engineering
Design Patterns
  • Gamma, E. & Helm, R. & Johnson, R. & Vlissides, J. 2 Design Patterns: Elements of Reusable Object-Oriented Software. [Online]
Statistics
Causal Inference
  • Pearl, J. Causal Inference in Statistics: A Primer. [Online]
  • Pearl, J. CAUSALITY. [Online]
Medicine
Surgery
  • Schwartz, S. I. Principles of Surgery. [Online]
Gastroenterology
  • Yamada, T. Textbook of Gastroenterology. [Online]
Cardiology
TODO
Interventional Cardiology
TODO
Oncology
TODO
Orthopaedics
TODO
Ophthalmology
TODO
Pediatrics
TODO
Dermatology
TODO
Psychology
Neurophysiology
  • Carpenter, R. & Reddi, B. Neurophysiology: A Conceptual Approach. [Online]
Music
Composition
  • Schoenberg, A. Fundamentals of Musical Composition. [Online]
  • Sturman, P. Harmony, Melody & Composition. [Online]
Notation
  • Gould, E. Behind Bars: The Definitive Guide to Music Notation. [Online]
Translations
Mathematical Subjects
Footnotes
  1. The book isn't that easy. Here are some annotations for it [1],[2]. ↩
  2. Also known as "Big Four" or "Gang of Four". ↩
About
The List of Clear Knowledge.
curated.faares.com
Resources
Readme
Activity
Stars
1 star
Watchers
1 watching
Forks
1 fork
Report repository
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Highlight search terms from Google/DuckDuckGo/Bing referrer\n(function() {\n var ref = document.referrer;\n var terms = [];\n \n if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {\n var url = new URL(ref);\n var q = url.searchParams.get('q') || url.searchParams.get('p');\n if (q) {\n terms = q.split(/\\s+/).filter(function(t) { return t.length > 2; });\n }\n }\n \n if (terms.length === 0) return;\n \n var style = document.createElement('style');\n style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';\n document.head.appendChild(style);\n \n function highlight(node) {\n if (node.nodeType === 3) { // text node\n var text = node.textContent;\n var found = false;\n terms.forEach(function(term) {\n var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\\]\\\\]/g, '\\\\') + ')', 'gi');\n if (regex.test(text)) {\n found = true;\n var frag = document.createDocumentFragment();\n var parts = text.split(regex);\n parts.forEach(function(part, i) {\n if (i % 2 === 0) {\n frag.appendChild(document.createTextNode(part));\n } else {\n var span = document.createElement('span');\n span.className = 'userscript-highlight';\n span.textContent = part;\n frag.appendChild(span);\n }\n });\n node.parentNode.replaceChild(frag, node);\n }\n });\n } else if (node.nodeType === 1 && node.childNodes) { // element\n var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];\n if (!skipTags.includes(node.tagName)) {\n Array.from(node.childNodes).forEach(highlight);\n }\n }\n }\n \n highlight(document.body);\n \n // Re-highlight on dynamic content\n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1 || node.nodeType === 3) highlight(node);\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Highlight Search Terms");
}
} catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Curated: The List of Clear Knowledge.
As the title says! recently, I become deep into special areas, and references became increasingly "dirty". So, here I'm setting the top-ranked and clear references. Classified by specialty.
  • The list contains resources written in non-English languages. You can figure it out by in LANG.
  • This list is not for school students! usually, these references need prerequisites to understand.
  • Don't consider the classification as a final fact, especially in mathematics.
[Copyrights] - [Contribution] - [Topics] - [Featured Authors] - [AR List]
Changelog
  • 22 / Jul / 2023: I uploaded some references here. Consider it as a backup.
  • 14 / Aug / 2023: You can sponsor the project to maintain & continue gathering the resources from here.
  • 18 / Mar / 2025: Music Theory, Composition added.
  • 09 / Jan / 2026: Commutative Algebra added.
  • 12 / Jan / 2026: Added to Algebraic Number Theory, and Number Theory.
  • 1 / Feb / 2026: You can now donate by Bitcoin: bitcoin:bc1qwam56zxa5lpt2wflu7hmfw8nxwelygvagq6sm8?message=Curated.
Table of Content
Mathematics
Mathematician's Work & Career
  • Pólya, G. How to Solve It.
  • Tao, T. Solving Mathematical Problems. [Online]
  • Hamkins, J. D. Proof and the Art of Mathematics. [Online]
  • Hamkins, J. D. Lectures on the Philosophy of Mathematics. [Online]
  • Paper -Tao, T. What is Good Mathemtatics? [PDF]
  • Paper -Thurston, W. P. On Proof and Progress in Mathematics. [PDF]
  • Paper -Poincaré, H. Intuition and Logic in Mathematics. [Online]
  • Lang, S. The Beauty of Doing Mathematics. [Online]
Alan Beardon, has two books [1],[2] I think it's good, but I cannot officially list it, since I didn't read them yet.
Mathematical Logic
  • Smullyan, R. M. Gödel's Incompleteness Theorems. [Online]
  • Lakatos, I. Proofs and Refutations: The Logic of Mathematical Discovery. [Online][PDF]
Category Theory
  • Smith, P. Category Theory I: Notes Towards a Gentle Introduction. [Online]
  • Smith, P. Category Theory II: More Notes Towards a Gentle Introduction. [Online]
  • Leinster, T. Basic Category Theory. [Online]
Abstract Algebra
  • Fraleigh, John B. A First Course in Abstract Algebra.
  • Paper - In Arabic -AlYasry, A. The Concept of Equivalence and its Classes in Mathematics. [Online]
  • Lang, S. Undergraduate Algebra. [Online]
Commutative Algebra
  • Atiyah, M. F., & MacDonald, I. G. Introduction to Commutative Algebra. [PDF]
Number Theory
  • Serre, J. P. A Course in Arithmetic1. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: Basic Tools. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: The Proof. [Online]
Analytic Number Theory
  • Lang, S. Elliptic Functions. [Online]
Algebraic Number Theory
  • Lang, S. Algebraic Number Theory. [Online]
  • Hardy, G. H., and Wright, E. M. An Introduction to the Theory of Numbers. [PDF]
  • Ono, T. An Introduction to Algebraic Number Theory. [Online]
Geometric Number Theory
  • MIT Course. Introduction To Arithmetic Geometry. [Online]
Partition Theory
TODO
Ring Theory
  • Kleiner, I. From Numbers to Rings: The Early History of Ring Theory. [Online][PDF]
Mathematical Analysis
  • Ruden, W. Principles of Mathematical Analysis. [Online]
  • Ruden, W. Real and Complex Analysis.
  • Keisler, H. J. Elementary Calculus: An Infinitesimal Approach. [Online & PDF]
  • Lang, S. Undergraduate Analysis. [Online]
  • Lang, S. Real and Functional Analysis. [Online]
Real Analysis
  • Tao, T. Analysis I.
  • Tao, T. Analysis II.
  • Beardon, A. Limits: A New Approach to Real Analysis. [Online]
  • Paper -Tao, T. Compactness and Compactification. [PDF]
  • Paper -Raman-Sundstrom, M. A Pedagogical History of Compactness. [PDF]
Complex Analysis
  • Needham, T. Visual Complex Analysis.
  • Beautiful Paper -Velleman, D. The Fundamental Theorem of Algebra: A Visual Approach. [PDF]
  • Lang, S. Complex Analysis. [Online]
Fourier Analysis
TODO
Functional Analysis
  • Debnath, L. & Mikusinski, P. Introduction to Hilbert Spaces with Applications.
  • Ruden, W. Functional Analysis.
Harmonic Analysis
TODO
Spectral Theory
TODO
Measure Theory
  • Tao, T. An Introduction to Measure Theory. [Online]
Differential Equations
Ordinary Differential Equations (ODE)
TODO
Partial Differential Equations (PDE)
  • Craig, W. A Course on Partial Differential Equations. [Online]
Geometry
Euclidean and Non-Euclidean Geometry
  • Beardon, A. Algebra and Geometry.
Differential Geometry
  • Abate, M. & Tovena, F. Curves and Surfaces.
  • Tu, W. L. Differential Geometry: Connections, Curvature, and Characteristic Classes. [PDF][Online]
  • Lang, S. Fundamentals of Differential Geometry. [Online]
  • Spivak, M. A Comprehensive Introduction to Differential Geometry (4 Volumes). [Online]
  • Petersen, P. Classical Differential Geometry. [PDF]
Topological Geometry
  • Porteous, I. R. Topological Geometry. [Online] [PDF]
Topology
  • Munkres, J. R. Topology.
  • Hatcher, A. Notes on Introductory Point-Set Topology. [Online]
  • Khatchatourian I. MAT327 • TOPOLOGY. [Online]
  • AlYasry, A. Lectures in Advance Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Simple Explanations in Topology and Ideas of High Dimensions. [Online]
  • Armstrong, M. A. Basic Topology. [Online]
Algebraic Topology
  • Hatcher, A. Algebraic Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Homology. [Online]
Knot Theory
  • AlYasry, A. Knot Theory. [Online]
Manifolds
  • Thurston, W. P. Geometry and Topology of Three-manifolds. [Online]
  • Thurston, W. P. How to See 3-Manifolds. [PDF]
  • Paper -Tao, T. Ricci flow. [PDF]
  • Knopf, D. & Chow, B. The Ricci Flow: An Introduction. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part I: Geometric Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects. [PDF][Online]
  • Tu, W. L. An Introduction to Manifolds. [PDF][Online]
  • Petersen, P. Manifold Theory. [PDF]
Riemann Geometry
  • Petersen, P. Riemann Geometry. [Online]
Riemann Surfaces
  • Beardon, A. A Primer on Riemann Surfaces. [Online]
Graph Theory
  • Wilson, R. J. Introduction to Graph Theory. [Online][PDF]
Theory of Expander Graphs
Surveys
  • Goldreich, O. Basic Facts about Expander Graphs. [Online]
  • Hoory, S. & Linial, N. & Wigderson, A. Expander Graphs and Their Applications. [PDF]
Theory of Hypergraph
TODO
Combinatorics
TODO
Game Theory
TODO
Computer Science
Theoretical Computer Science
  • Sipser, M. Introduction to The Theory of Computation.
  • Arora, S. & Barak, B. Computational Complexity: A Modern Approach. [Online]
  • Barak, B. Introduction to Theoretical Computer Science. [Online]
  • Wigderson, A. Mathematics and Computation: A Theory Revolutionizing Technology and Science. [Online]
  • Hopcroft, J. Introduction to Automata Theory, Languages, and Computation. [Online]
  • Papadimitriou, C. Computational Complexity. [Online]
  • Lewis, C. & Papadimitriou, C. Elements of the Theory of Computation. [Online]
  • Essential Paper -Shannon, C. E. A Mathematical Theory of Communication. [PDF]
  • Essential Paper -Cook, S. A. The Complexity of Theorem-Proving Procedures. [Online][PDF Old][PDF Modern]
  • Essential Paper -Turing, A. On Computable Numbers, with an Application to the Entscheidungs problem. [Online]
  • Paper -Valiant, L. G. Three Problems in Computer Science. [Online]
Randomness and Pseudo-Randomness
Surveys
  • Various Authors. On the works of Avi Wigderson. [Online][PDF]
  • Aaronson, S. P =? NP. [PDF]
  • Vadhan, S. The Unified Theory of Pseudorandomness. [Online][PDF]
Cryptography
  • Goldreich, O. Foundations of Cryptography: A Primer. [Online]
  • Goldreich, O. The Foundations of Cryptography. [Online]
  • Paper -Kleppmann, M. Implementing Curve25519/X25519: A Tutorial on Elliptic Curve Cryptography. [PDF]
Artificial Intelligence
  • Russell, S. & Norving, P. Artificial Intelligence: A Modern Approach. [Online]
  • Paper -Valiant, L. G. A Theory of The Learnable. [PDF]
Algorithms and Data Structures
  • Knuth, D. The Art of Computer Programming. No one completes it, either Donald himself!!
Programming Languages
Erlang Programming Language
  • Armstrong, J. A History of Erlang. [Online]
C Programming Language
  • Kernighan, B. W. & Ritchie, D. M. The C Programming Language.
C++ Programming Language
  • Stroustrup, B. The C++ Programming Language. [Online]
Go Programming Language
  • Donovan, A. & Kernighan, B. The Go Programming Language. [Online]
Compilers
  • Essential Paper -Thompson, K. Reflections on Trusting Trust. [PDF]
Operating Systems
Linux Environment
  • LSB Workgroup, The Linux Foundation. Filesystem Hierarchy Standard. [Online]
Networks
TODO
Security
DISCLAIMER:
All resources are listed for learning and white-use purposes.
We carry no responsibility regarding any abuse.
  • Erickson, J. Hacking: The Art of Exploitation.
Software Engineering
Design Patterns
  • Gamma, E. & Helm, R. & Johnson, R. & Vlissides, J. 2 Design Patterns: Elements of Reusable Object-Oriented Software. [Online]
Statistics
Causal Inference
  • Pearl, J. Causal Inference in Statistics: A Primer. [Online]
  • Pearl, J. CAUSALITY. [Online]
Medicine
Surgery
  • Schwartz, S. I. Principles of Surgery. [Online]
Gastroenterology
  • Yamada, T. Textbook of Gastroenterology. [Online]
Cardiology
TODO
Interventional Cardiology
TODO
Oncology
TODO
Orthopaedics
TODO
Ophthalmology
TODO
Pediatrics
TODO
Dermatology
TODO
Psychology
Neurophysiology
  • Carpenter, R. & Reddi, B. Neurophysiology: A Conceptual Approach. [Online]
Music
Composition
  • Schoenberg, A. Fundamentals of Musical Composition. [Online]
  • Sturman, P. Harmony, Melody & Composition. [Online]
Notation
  • Gould, E. Behind Bars: The Definitive Guide to Music Notation. [Online]
Translations
Mathematical Subjects
Footnotes
  1. The book isn't that easy. Here are some annotations for it [1],[2]. ↩
  2. Also known as "Big Four" or "Gang of Four". ↩
About
The List of Clear Knowledge.
curated.faares.com
Resources
Readme
Activity
Stars
1 star
Watchers
1 watching
Forks
1 fork
Report repository
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links");
}
} catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); }
})();
(function(){
try {
var __m = "youtube.com";
var __re = new RegExp('^' + "youtube\\.com" + '

Skip to content
BranchesTags
Repository files navigation
Curated: The List of Clear Knowledge.
As the title says! recently, I become deep into special areas, and references became increasingly "dirty". So, here I'm setting the top-ranked and clear references. Classified by specialty.
  • The list contains resources written in non-English languages. You can figure it out by in LANG.
  • This list is not for school students! usually, these references need prerequisites to understand.
  • Don't consider the classification as a final fact, especially in mathematics.
[Copyrights] - [Contribution] - [Topics] - [Featured Authors] - [AR List]
Changelog
  • 22 / Jul / 2023: I uploaded some references here. Consider it as a backup.
  • 14 / Aug / 2023: You can sponsor the project to maintain & continue gathering the resources from here.
  • 18 / Mar / 2025: Music Theory, Composition added.
  • 09 / Jan / 2026: Commutative Algebra added.
  • 12 / Jan / 2026: Added to Algebraic Number Theory, and Number Theory.
  • 1 / Feb / 2026: You can now donate by Bitcoin: bitcoin:bc1qwam56zxa5lpt2wflu7hmfw8nxwelygvagq6sm8?message=Curated.
Table of Content
Mathematics
Mathematician's Work & Career
  • Pólya, G. How to Solve It.
  • Tao, T. Solving Mathematical Problems. [Online]
  • Hamkins, J. D. Proof and the Art of Mathematics. [Online]
  • Hamkins, J. D. Lectures on the Philosophy of Mathematics. [Online]
  • Paper -Tao, T. What is Good Mathemtatics? [PDF]
  • Paper -Thurston, W. P. On Proof and Progress in Mathematics. [PDF]
  • Paper -Poincaré, H. Intuition and Logic in Mathematics. [Online]
  • Lang, S. The Beauty of Doing Mathematics. [Online]
Alan Beardon, has two books [1],[2] I think it's good, but I cannot officially list it, since I didn't read them yet.
Mathematical Logic
  • Smullyan, R. M. Gödel's Incompleteness Theorems. [Online]
  • Lakatos, I. Proofs and Refutations: The Logic of Mathematical Discovery. [Online][PDF]
Category Theory
  • Smith, P. Category Theory I: Notes Towards a Gentle Introduction. [Online]
  • Smith, P. Category Theory II: More Notes Towards a Gentle Introduction. [Online]
  • Leinster, T. Basic Category Theory. [Online]
Abstract Algebra
  • Fraleigh, John B. A First Course in Abstract Algebra.
  • Paper - In Arabic -AlYasry, A. The Concept of Equivalence and its Classes in Mathematics. [Online]
  • Lang, S. Undergraduate Algebra. [Online]
Commutative Algebra
  • Atiyah, M. F., & MacDonald, I. G. Introduction to Commutative Algebra. [PDF]
Number Theory
  • Serre, J. P. A Course in Arithmetic1. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: Basic Tools. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: The Proof. [Online]
Analytic Number Theory
  • Lang, S. Elliptic Functions. [Online]
Algebraic Number Theory
  • Lang, S. Algebraic Number Theory. [Online]
  • Hardy, G. H., and Wright, E. M. An Introduction to the Theory of Numbers. [PDF]
  • Ono, T. An Introduction to Algebraic Number Theory. [Online]
Geometric Number Theory
  • MIT Course. Introduction To Arithmetic Geometry. [Online]
Partition Theory
TODO
Ring Theory
  • Kleiner, I. From Numbers to Rings: The Early History of Ring Theory. [Online][PDF]
Mathematical Analysis
  • Ruden, W. Principles of Mathematical Analysis. [Online]
  • Ruden, W. Real and Complex Analysis.
  • Keisler, H. J. Elementary Calculus: An Infinitesimal Approach. [Online & PDF]
  • Lang, S. Undergraduate Analysis. [Online]
  • Lang, S. Real and Functional Analysis. [Online]
Real Analysis
  • Tao, T. Analysis I.
  • Tao, T. Analysis II.
  • Beardon, A. Limits: A New Approach to Real Analysis. [Online]
  • Paper -Tao, T. Compactness and Compactification. [PDF]
  • Paper -Raman-Sundstrom, M. A Pedagogical History of Compactness. [PDF]
Complex Analysis
  • Needham, T. Visual Complex Analysis.
  • Beautiful Paper -Velleman, D. The Fundamental Theorem of Algebra: A Visual Approach. [PDF]
  • Lang, S. Complex Analysis. [Online]
Fourier Analysis
TODO
Functional Analysis
  • Debnath, L. & Mikusinski, P. Introduction to Hilbert Spaces with Applications.
  • Ruden, W. Functional Analysis.
Harmonic Analysis
TODO
Spectral Theory
TODO
Measure Theory
  • Tao, T. An Introduction to Measure Theory. [Online]
Differential Equations
Ordinary Differential Equations (ODE)
TODO
Partial Differential Equations (PDE)
  • Craig, W. A Course on Partial Differential Equations. [Online]
Geometry
Euclidean and Non-Euclidean Geometry
  • Beardon, A. Algebra and Geometry.
Differential Geometry
  • Abate, M. & Tovena, F. Curves and Surfaces.
  • Tu, W. L. Differential Geometry: Connections, Curvature, and Characteristic Classes. [PDF][Online]
  • Lang, S. Fundamentals of Differential Geometry. [Online]
  • Spivak, M. A Comprehensive Introduction to Differential Geometry (4 Volumes). [Online]
  • Petersen, P. Classical Differential Geometry. [PDF]
Topological Geometry
  • Porteous, I. R. Topological Geometry. [Online] [PDF]
Topology
  • Munkres, J. R. Topology.
  • Hatcher, A. Notes on Introductory Point-Set Topology. [Online]
  • Khatchatourian I. MAT327 • TOPOLOGY. [Online]
  • AlYasry, A. Lectures in Advance Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Simple Explanations in Topology and Ideas of High Dimensions. [Online]
  • Armstrong, M. A. Basic Topology. [Online]
Algebraic Topology
  • Hatcher, A. Algebraic Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Homology. [Online]
Knot Theory
  • AlYasry, A. Knot Theory. [Online]
Manifolds
  • Thurston, W. P. Geometry and Topology of Three-manifolds. [Online]
  • Thurston, W. P. How to See 3-Manifolds. [PDF]
  • Paper -Tao, T. Ricci flow. [PDF]
  • Knopf, D. & Chow, B. The Ricci Flow: An Introduction. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part I: Geometric Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects. [PDF][Online]
  • Tu, W. L. An Introduction to Manifolds. [PDF][Online]
  • Petersen, P. Manifold Theory. [PDF]
Riemann Geometry
  • Petersen, P. Riemann Geometry. [Online]
Riemann Surfaces
  • Beardon, A. A Primer on Riemann Surfaces. [Online]
Graph Theory
  • Wilson, R. J. Introduction to Graph Theory. [Online][PDF]
Theory of Expander Graphs
Surveys
  • Goldreich, O. Basic Facts about Expander Graphs. [Online]
  • Hoory, S. & Linial, N. & Wigderson, A. Expander Graphs and Their Applications. [PDF]
Theory of Hypergraph
TODO
Combinatorics
TODO
Game Theory
TODO
Computer Science
Theoretical Computer Science
  • Sipser, M. Introduction to The Theory of Computation.
  • Arora, S. & Barak, B. Computational Complexity: A Modern Approach. [Online]
  • Barak, B. Introduction to Theoretical Computer Science. [Online]
  • Wigderson, A. Mathematics and Computation: A Theory Revolutionizing Technology and Science. [Online]
  • Hopcroft, J. Introduction to Automata Theory, Languages, and Computation. [Online]
  • Papadimitriou, C. Computational Complexity. [Online]
  • Lewis, C. & Papadimitriou, C. Elements of the Theory of Computation. [Online]
  • Essential Paper -Shannon, C. E. A Mathematical Theory of Communication. [PDF]
  • Essential Paper -Cook, S. A. The Complexity of Theorem-Proving Procedures. [Online][PDF Old][PDF Modern]
  • Essential Paper -Turing, A. On Computable Numbers, with an Application to the Entscheidungs problem. [Online]
  • Paper -Valiant, L. G. Three Problems in Computer Science. [Online]
Randomness and Pseudo-Randomness
Surveys
  • Various Authors. On the works of Avi Wigderson. [Online][PDF]
  • Aaronson, S. P =? NP. [PDF]
  • Vadhan, S. The Unified Theory of Pseudorandomness. [Online][PDF]
Cryptography
  • Goldreich, O. Foundations of Cryptography: A Primer. [Online]
  • Goldreich, O. The Foundations of Cryptography. [Online]
  • Paper -Kleppmann, M. Implementing Curve25519/X25519: A Tutorial on Elliptic Curve Cryptography. [PDF]
Artificial Intelligence
  • Russell, S. & Norving, P. Artificial Intelligence: A Modern Approach. [Online]
  • Paper -Valiant, L. G. A Theory of The Learnable. [PDF]
Algorithms and Data Structures
  • Knuth, D. The Art of Computer Programming. No one completes it, either Donald himself!!
Programming Languages
Erlang Programming Language
  • Armstrong, J. A History of Erlang. [Online]
C Programming Language
  • Kernighan, B. W. & Ritchie, D. M. The C Programming Language.
C++ Programming Language
  • Stroustrup, B. The C++ Programming Language. [Online]
Go Programming Language
  • Donovan, A. & Kernighan, B. The Go Programming Language. [Online]
Compilers
  • Essential Paper -Thompson, K. Reflections on Trusting Trust. [PDF]
Operating Systems
Linux Environment
  • LSB Workgroup, The Linux Foundation. Filesystem Hierarchy Standard. [Online]
Networks
TODO
Security
DISCLAIMER:
All resources are listed for learning and white-use purposes.
We carry no responsibility regarding any abuse.
  • Erickson, J. Hacking: The Art of Exploitation.
Software Engineering
Design Patterns
  • Gamma, E. & Helm, R. & Johnson, R. & Vlissides, J. 2 Design Patterns: Elements of Reusable Object-Oriented Software. [Online]
Statistics
Causal Inference
  • Pearl, J. Causal Inference in Statistics: A Primer. [Online]
  • Pearl, J. CAUSALITY. [Online]
Medicine
Surgery
  • Schwartz, S. I. Principles of Surgery. [Online]
Gastroenterology
  • Yamada, T. Textbook of Gastroenterology. [Online]
Cardiology
TODO
Interventional Cardiology
TODO
Oncology
TODO
Orthopaedics
TODO
Ophthalmology
TODO
Pediatrics
TODO
Dermatology
TODO
Psychology
Neurophysiology
  • Carpenter, R. & Reddi, B. Neurophysiology: A Conceptual Approach. [Online]
Music
Composition
  • Schoenberg, A. Fundamentals of Musical Composition. [Online]
  • Sturman, P. Harmony, Melody & Composition. [Online]
Notation
  • Gould, E. Behind Bars: The Definitive Guide to Music Notation. [Online]
Translations
Mathematical Subjects
Footnotes
  1. The book isn't that easy. Here are some annotations for it [1],[2]. ↩
  2. Also known as "Big Four" or "Gang of Four". ↩
About
The List of Clear Knowledge.
curated.faares.com
Resources
Readme
Activity
Stars
1 star
Watchers
1 watching
Forks
1 fork
Report repository
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default");
}
} catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Curated: The List of Clear Knowledge.
As the title says! recently, I become deep into special areas, and references became increasingly "dirty". So, here I'm setting the top-ranked and clear references. Classified by specialty.
  • The list contains resources written in non-English languages. You can figure it out by in LANG.
  • This list is not for school students! usually, these references need prerequisites to understand.
  • Don't consider the classification as a final fact, especially in mathematics.
[Copyrights] - [Contribution] - [Topics] - [Featured Authors] - [AR List]
Changelog
  • 22 / Jul / 2023: I uploaded some references here. Consider it as a backup.
  • 14 / Aug / 2023: You can sponsor the project to maintain & continue gathering the resources from here.
  • 18 / Mar / 2025: Music Theory, Composition added.
  • 09 / Jan / 2026: Commutative Algebra added.
  • 12 / Jan / 2026: Added to Algebraic Number Theory, and Number Theory.
  • 1 / Feb / 2026: You can now donate by Bitcoin: bitcoin:bc1qwam56zxa5lpt2wflu7hmfw8nxwelygvagq6sm8?message=Curated.
Table of Content
Mathematics
Mathematician's Work & Career
  • Pólya, G. How to Solve It.
  • Tao, T. Solving Mathematical Problems. [Online]
  • Hamkins, J. D. Proof and the Art of Mathematics. [Online]
  • Hamkins, J. D. Lectures on the Philosophy of Mathematics. [Online]
  • Paper -Tao, T. What is Good Mathemtatics? [PDF]
  • Paper -Thurston, W. P. On Proof and Progress in Mathematics. [PDF]
  • Paper -Poincaré, H. Intuition and Logic in Mathematics. [Online]
  • Lang, S. The Beauty of Doing Mathematics. [Online]
Alan Beardon, has two books [1],[2] I think it's good, but I cannot officially list it, since I didn't read them yet.
Mathematical Logic
  • Smullyan, R. M. Gödel's Incompleteness Theorems. [Online]
  • Lakatos, I. Proofs and Refutations: The Logic of Mathematical Discovery. [Online][PDF]
Category Theory
  • Smith, P. Category Theory I: Notes Towards a Gentle Introduction. [Online]
  • Smith, P. Category Theory II: More Notes Towards a Gentle Introduction. [Online]
  • Leinster, T. Basic Category Theory. [Online]
Abstract Algebra
  • Fraleigh, John B. A First Course in Abstract Algebra.
  • Paper - In Arabic -AlYasry, A. The Concept of Equivalence and its Classes in Mathematics. [Online]
  • Lang, S. Undergraduate Algebra. [Online]
Commutative Algebra
  • Atiyah, M. F., & MacDonald, I. G. Introduction to Commutative Algebra. [PDF]
Number Theory
  • Serre, J. P. A Course in Arithmetic1. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: Basic Tools. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: The Proof. [Online]
Analytic Number Theory
  • Lang, S. Elliptic Functions. [Online]
Algebraic Number Theory
  • Lang, S. Algebraic Number Theory. [Online]
  • Hardy, G. H., and Wright, E. M. An Introduction to the Theory of Numbers. [PDF]
  • Ono, T. An Introduction to Algebraic Number Theory. [Online]
Geometric Number Theory
  • MIT Course. Introduction To Arithmetic Geometry. [Online]
Partition Theory
TODO
Ring Theory
  • Kleiner, I. From Numbers to Rings: The Early History of Ring Theory. [Online][PDF]
Mathematical Analysis
  • Ruden, W. Principles of Mathematical Analysis. [Online]
  • Ruden, W. Real and Complex Analysis.
  • Keisler, H. J. Elementary Calculus: An Infinitesimal Approach. [Online & PDF]
  • Lang, S. Undergraduate Analysis. [Online]
  • Lang, S. Real and Functional Analysis. [Online]
Real Analysis
  • Tao, T. Analysis I.
  • Tao, T. Analysis II.
  • Beardon, A. Limits: A New Approach to Real Analysis. [Online]
  • Paper -Tao, T. Compactness and Compactification. [PDF]
  • Paper -Raman-Sundstrom, M. A Pedagogical History of Compactness. [PDF]
Complex Analysis
  • Needham, T. Visual Complex Analysis.
  • Beautiful Paper -Velleman, D. The Fundamental Theorem of Algebra: A Visual Approach. [PDF]
  • Lang, S. Complex Analysis. [Online]
Fourier Analysis
TODO
Functional Analysis
  • Debnath, L. & Mikusinski, P. Introduction to Hilbert Spaces with Applications.
  • Ruden, W. Functional Analysis.
Harmonic Analysis
TODO
Spectral Theory
TODO
Measure Theory
  • Tao, T. An Introduction to Measure Theory. [Online]
Differential Equations
Ordinary Differential Equations (ODE)
TODO
Partial Differential Equations (PDE)
  • Craig, W. A Course on Partial Differential Equations. [Online]
Geometry
Euclidean and Non-Euclidean Geometry
  • Beardon, A. Algebra and Geometry.
Differential Geometry
  • Abate, M. & Tovena, F. Curves and Surfaces.
  • Tu, W. L. Differential Geometry: Connections, Curvature, and Characteristic Classes. [PDF][Online]
  • Lang, S. Fundamentals of Differential Geometry. [Online]
  • Spivak, M. A Comprehensive Introduction to Differential Geometry (4 Volumes). [Online]
  • Petersen, P. Classical Differential Geometry. [PDF]
Topological Geometry
  • Porteous, I. R. Topological Geometry. [Online] [PDF]
Topology
  • Munkres, J. R. Topology.
  • Hatcher, A. Notes on Introductory Point-Set Topology. [Online]
  • Khatchatourian I. MAT327 • TOPOLOGY. [Online]
  • AlYasry, A. Lectures in Advance Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Simple Explanations in Topology and Ideas of High Dimensions. [Online]
  • Armstrong, M. A. Basic Topology. [Online]
Algebraic Topology
  • Hatcher, A. Algebraic Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Homology. [Online]
Knot Theory
  • AlYasry, A. Knot Theory. [Online]
Manifolds
  • Thurston, W. P. Geometry and Topology of Three-manifolds. [Online]
  • Thurston, W. P. How to See 3-Manifolds. [PDF]
  • Paper -Tao, T. Ricci flow. [PDF]
  • Knopf, D. & Chow, B. The Ricci Flow: An Introduction. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part I: Geometric Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects. [PDF][Online]
  • Tu, W. L. An Introduction to Manifolds. [PDF][Online]
  • Petersen, P. Manifold Theory. [PDF]
Riemann Geometry
  • Petersen, P. Riemann Geometry. [Online]
Riemann Surfaces
  • Beardon, A. A Primer on Riemann Surfaces. [Online]
Graph Theory
  • Wilson, R. J. Introduction to Graph Theory. [Online][PDF]
Theory of Expander Graphs
Surveys
  • Goldreich, O. Basic Facts about Expander Graphs. [Online]
  • Hoory, S. & Linial, N. & Wigderson, A. Expander Graphs and Their Applications. [PDF]
Theory of Hypergraph
TODO
Combinatorics
TODO
Game Theory
TODO
Computer Science
Theoretical Computer Science
  • Sipser, M. Introduction to The Theory of Computation.
  • Arora, S. & Barak, B. Computational Complexity: A Modern Approach. [Online]
  • Barak, B. Introduction to Theoretical Computer Science. [Online]
  • Wigderson, A. Mathematics and Computation: A Theory Revolutionizing Technology and Science. [Online]
  • Hopcroft, J. Introduction to Automata Theory, Languages, and Computation. [Online]
  • Papadimitriou, C. Computational Complexity. [Online]
  • Lewis, C. & Papadimitriou, C. Elements of the Theory of Computation. [Online]
  • Essential Paper -Shannon, C. E. A Mathematical Theory of Communication. [PDF]
  • Essential Paper -Cook, S. A. The Complexity of Theorem-Proving Procedures. [Online][PDF Old][PDF Modern]
  • Essential Paper -Turing, A. On Computable Numbers, with an Application to the Entscheidungs problem. [Online]
  • Paper -Valiant, L. G. Three Problems in Computer Science. [Online]
Randomness and Pseudo-Randomness
Surveys
  • Various Authors. On the works of Avi Wigderson. [Online][PDF]
  • Aaronson, S. P =? NP. [PDF]
  • Vadhan, S. The Unified Theory of Pseudorandomness. [Online][PDF]
Cryptography
  • Goldreich, O. Foundations of Cryptography: A Primer. [Online]
  • Goldreich, O. The Foundations of Cryptography. [Online]
  • Paper -Kleppmann, M. Implementing Curve25519/X25519: A Tutorial on Elliptic Curve Cryptography. [PDF]
Artificial Intelligence
  • Russell, S. & Norving, P. Artificial Intelligence: A Modern Approach. [Online]
  • Paper -Valiant, L. G. A Theory of The Learnable. [PDF]
Algorithms and Data Structures
  • Knuth, D. The Art of Computer Programming. No one completes it, either Donald himself!!
Programming Languages
Erlang Programming Language
  • Armstrong, J. A History of Erlang. [Online]
C Programming Language
  • Kernighan, B. W. & Ritchie, D. M. The C Programming Language.
C++ Programming Language
  • Stroustrup, B. The C++ Programming Language. [Online]
Go Programming Language
  • Donovan, A. & Kernighan, B. The Go Programming Language. [Online]
Compilers
  • Essential Paper -Thompson, K. Reflections on Trusting Trust. [PDF]
Operating Systems
Linux Environment
  • LSB Workgroup, The Linux Foundation. Filesystem Hierarchy Standard. [Online]
Networks
TODO
Security
DISCLAIMER:
All resources are listed for learning and white-use purposes.
We carry no responsibility regarding any abuse.
  • Erickson, J. Hacking: The Art of Exploitation.
Software Engineering
Design Patterns
  • Gamma, E. & Helm, R. & Johnson, R. & Vlissides, J. 2 Design Patterns: Elements of Reusable Object-Oriented Software. [Online]
Statistics
Causal Inference
  • Pearl, J. Causal Inference in Statistics: A Primer. [Online]
  • Pearl, J. CAUSALITY. [Online]
Medicine
Surgery
  • Schwartz, S. I. Principles of Surgery. [Online]
Gastroenterology
  • Yamada, T. Textbook of Gastroenterology. [Online]
Cardiology
TODO
Interventional Cardiology
TODO
Oncology
TODO
Orthopaedics
TODO
Ophthalmology
TODO
Pediatrics
TODO
Dermatology
TODO
Psychology
Neurophysiology
  • Carpenter, R. & Reddi, B. Neurophysiology: A Conceptual Approach. [Online]
Music
Composition
  • Schoenberg, A. Fundamentals of Musical Composition. [Online]
  • Sturman, P. Harmony, Melody & Composition. [Online]
Notation
  • Gould, E. Behind Bars: The Definitive Guide to Music Notation. [Online]
Translations
Mathematical Subjects
Footnotes
  1. The book isn't that easy. Here are some annotations for it [1],[2]. ↩
  2. Also known as "Big Four" or "Gang of Four". ↩
About
The List of Clear Knowledge.
curated.faares.com
Resources
Readme
Activity
Stars
1 star
Watchers
1 watching
Forks
1 fork
Report repository
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Remove or un-stick sticky/fixed headers that block content\n(function() {\n function unstick() {\n document.querySelectorAll('header, nav, [role=\"banner\"], .header, .navbar, .sticky, .fixed-top, [style*=\"position: fixed\"], [style*=\"position:sticky\"]').forEach(function(el) {\n if (el.style.position === 'fixed' || el.style.position === 'sticky' || \n getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {\n el.style.position = 'static';\n el.style.top = 'auto';\n el.style.zIndex = 'auto';\n }\n });\n }\n \n unstick();\n \n var observer = new MutationObserver(unstick);\n observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });\n})();", "Kill Sticky Headers");
}
} catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
Curated: The List of Clear Knowledge.
As the title says! recently, I become deep into special areas, and references became increasingly "dirty". So, here I'm setting the top-ranked and clear references. Classified by specialty.
  • The list contains resources written in non-English languages. You can figure it out by in LANG.
  • This list is not for school students! usually, these references need prerequisites to understand.
  • Don't consider the classification as a final fact, especially in mathematics.
[Copyrights] - [Contribution] - [Topics] - [Featured Authors] - [AR List]
Changelog
  • 22 / Jul / 2023: I uploaded some references here. Consider it as a backup.
  • 14 / Aug / 2023: You can sponsor the project to maintain & continue gathering the resources from here.
  • 18 / Mar / 2025: Music Theory, Composition added.
  • 09 / Jan / 2026: Commutative Algebra added.
  • 12 / Jan / 2026: Added to Algebraic Number Theory, and Number Theory.
  • 1 / Feb / 2026: You can now donate by Bitcoin: bitcoin:bc1qwam56zxa5lpt2wflu7hmfw8nxwelygvagq6sm8?message=Curated.
Table of Content
Mathematics
Mathematician's Work & Career
  • Pólya, G. How to Solve It.
  • Tao, T. Solving Mathematical Problems. [Online]
  • Hamkins, J. D. Proof and the Art of Mathematics. [Online]
  • Hamkins, J. D. Lectures on the Philosophy of Mathematics. [Online]
  • Paper -Tao, T. What is Good Mathemtatics? [PDF]
  • Paper -Thurston, W. P. On Proof and Progress in Mathematics. [PDF]
  • Paper -Poincaré, H. Intuition and Logic in Mathematics. [Online]
  • Lang, S. The Beauty of Doing Mathematics. [Online]
Alan Beardon, has two books [1],[2] I think it's good, but I cannot officially list it, since I didn't read them yet.
Mathematical Logic
  • Smullyan, R. M. Gödel's Incompleteness Theorems. [Online]
  • Lakatos, I. Proofs and Refutations: The Logic of Mathematical Discovery. [Online][PDF]
Category Theory
  • Smith, P. Category Theory I: Notes Towards a Gentle Introduction. [Online]
  • Smith, P. Category Theory II: More Notes Towards a Gentle Introduction. [Online]
  • Leinster, T. Basic Category Theory. [Online]
Abstract Algebra
  • Fraleigh, John B. A First Course in Abstract Algebra.
  • Paper - In Arabic -AlYasry, A. The Concept of Equivalence and its Classes in Mathematics. [Online]
  • Lang, S. Undergraduate Algebra. [Online]
Commutative Algebra
  • Atiyah, M. F., & MacDonald, I. G. Introduction to Commutative Algebra. [PDF]
Number Theory
  • Serre, J. P. A Course in Arithmetic1. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: Basic Tools. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: The Proof. [Online]
Analytic Number Theory
  • Lang, S. Elliptic Functions. [Online]
Algebraic Number Theory
  • Lang, S. Algebraic Number Theory. [Online]
  • Hardy, G. H., and Wright, E. M. An Introduction to the Theory of Numbers. [PDF]
  • Ono, T. An Introduction to Algebraic Number Theory. [Online]
Geometric Number Theory
  • MIT Course. Introduction To Arithmetic Geometry. [Online]
Partition Theory
TODO
Ring Theory
  • Kleiner, I. From Numbers to Rings: The Early History of Ring Theory. [Online][PDF]
Mathematical Analysis
  • Ruden, W. Principles of Mathematical Analysis. [Online]
  • Ruden, W. Real and Complex Analysis.
  • Keisler, H. J. Elementary Calculus: An Infinitesimal Approach. [Online & PDF]
  • Lang, S. Undergraduate Analysis. [Online]
  • Lang, S. Real and Functional Analysis. [Online]
Real Analysis
  • Tao, T. Analysis I.
  • Tao, T. Analysis II.
  • Beardon, A. Limits: A New Approach to Real Analysis. [Online]
  • Paper -Tao, T. Compactness and Compactification. [PDF]
  • Paper -Raman-Sundstrom, M. A Pedagogical History of Compactness. [PDF]
Complex Analysis
  • Needham, T. Visual Complex Analysis.
  • Beautiful Paper -Velleman, D. The Fundamental Theorem of Algebra: A Visual Approach. [PDF]
  • Lang, S. Complex Analysis. [Online]
Fourier Analysis
TODO
Functional Analysis
  • Debnath, L. & Mikusinski, P. Introduction to Hilbert Spaces with Applications.
  • Ruden, W. Functional Analysis.
Harmonic Analysis
TODO
Spectral Theory
TODO
Measure Theory
  • Tao, T. An Introduction to Measure Theory. [Online]
Differential Equations
Ordinary Differential Equations (ODE)
TODO
Partial Differential Equations (PDE)
  • Craig, W. A Course on Partial Differential Equations. [Online]
Geometry
Euclidean and Non-Euclidean Geometry
  • Beardon, A. Algebra and Geometry.
Differential Geometry
  • Abate, M. & Tovena, F. Curves and Surfaces.
  • Tu, W. L. Differential Geometry: Connections, Curvature, and Characteristic Classes. [PDF][Online]
  • Lang, S. Fundamentals of Differential Geometry. [Online]
  • Spivak, M. A Comprehensive Introduction to Differential Geometry (4 Volumes). [Online]
  • Petersen, P. Classical Differential Geometry. [PDF]
Topological Geometry
  • Porteous, I. R. Topological Geometry. [Online] [PDF]
Topology
  • Munkres, J. R. Topology.
  • Hatcher, A. Notes on Introductory Point-Set Topology. [Online]
  • Khatchatourian I. MAT327 • TOPOLOGY. [Online]
  • AlYasry, A. Lectures in Advance Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Simple Explanations in Topology and Ideas of High Dimensions. [Online]
  • Armstrong, M. A. Basic Topology. [Online]
Algebraic Topology
  • Hatcher, A. Algebraic Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Homology. [Online]
Knot Theory
  • AlYasry, A. Knot Theory. [Online]
Manifolds
  • Thurston, W. P. Geometry and Topology of Three-manifolds. [Online]
  • Thurston, W. P. How to See 3-Manifolds. [PDF]
  • Paper -Tao, T. Ricci flow. [PDF]
  • Knopf, D. & Chow, B. The Ricci Flow: An Introduction. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part I: Geometric Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects. [PDF][Online]
  • Tu, W. L. An Introduction to Manifolds. [PDF][Online]
  • Petersen, P. Manifold Theory. [PDF]
Riemann Geometry
  • Petersen, P. Riemann Geometry. [Online]
Riemann Surfaces
  • Beardon, A. A Primer on Riemann Surfaces. [Online]
Graph Theory
  • Wilson, R. J. Introduction to Graph Theory. [Online][PDF]
Theory of Expander Graphs
Surveys
  • Goldreich, O. Basic Facts about Expander Graphs. [Online]
  • Hoory, S. & Linial, N. & Wigderson, A. Expander Graphs and Their Applications. [PDF]
Theory of Hypergraph
TODO
Combinatorics
TODO
Game Theory
TODO
Computer Science
Theoretical Computer Science
  • Sipser, M. Introduction to The Theory of Computation.
  • Arora, S. & Barak, B. Computational Complexity: A Modern Approach. [Online]
  • Barak, B. Introduction to Theoretical Computer Science. [Online]
  • Wigderson, A. Mathematics and Computation: A Theory Revolutionizing Technology and Science. [Online]
  • Hopcroft, J. Introduction to Automata Theory, Languages, and Computation. [Online]
  • Papadimitriou, C. Computational Complexity. [Online]
  • Lewis, C. & Papadimitriou, C. Elements of the Theory of Computation. [Online]
  • Essential Paper -Shannon, C. E. A Mathematical Theory of Communication. [PDF]
  • Essential Paper -Cook, S. A. The Complexity of Theorem-Proving Procedures. [Online][PDF Old][PDF Modern]
  • Essential Paper -Turing, A. On Computable Numbers, with an Application to the Entscheidungs problem. [Online]
  • Paper -Valiant, L. G. Three Problems in Computer Science. [Online]
Randomness and Pseudo-Randomness
Surveys
  • Various Authors. On the works of Avi Wigderson. [Online][PDF]
  • Aaronson, S. P =? NP. [PDF]
  • Vadhan, S. The Unified Theory of Pseudorandomness. [Online][PDF]
Cryptography
  • Goldreich, O. Foundations of Cryptography: A Primer. [Online]
  • Goldreich, O. The Foundations of Cryptography. [Online]
  • Paper -Kleppmann, M. Implementing Curve25519/X25519: A Tutorial on Elliptic Curve Cryptography. [PDF]
Artificial Intelligence
  • Russell, S. & Norving, P. Artificial Intelligence: A Modern Approach. [Online]
  • Paper -Valiant, L. G. A Theory of The Learnable. [PDF]
Algorithms and Data Structures
  • Knuth, D. The Art of Computer Programming. No one completes it, either Donald himself!!
Programming Languages
Erlang Programming Language
  • Armstrong, J. A History of Erlang. [Online]
C Programming Language
  • Kernighan, B. W. & Ritchie, D. M. The C Programming Language.
C++ Programming Language
  • Stroustrup, B. The C++ Programming Language. [Online]
Go Programming Language
  • Donovan, A. & Kernighan, B. The Go Programming Language. [Online]
Compilers
  • Essential Paper -Thompson, K. Reflections on Trusting Trust. [PDF]
Operating Systems
Linux Environment
  • LSB Workgroup, The Linux Foundation. Filesystem Hierarchy Standard. [Online]
Networks
TODO
Security
DISCLAIMER:
All resources are listed for learning and white-use purposes.
We carry no responsibility regarding any abuse.
  • Erickson, J. Hacking: The Art of Exploitation.
Software Engineering
Design Patterns
  • Gamma, E. & Helm, R. & Johnson, R. & Vlissides, J. 2 Design Patterns: Elements of Reusable Object-Oriented Software. [Online]
Statistics
Causal Inference
  • Pearl, J. Causal Inference in Statistics: A Primer. [Online]
  • Pearl, J. CAUSALITY. [Online]
Medicine
Surgery
  • Schwartz, S. I. Principles of Surgery. [Online]
Gastroenterology
  • Yamada, T. Textbook of Gastroenterology. [Online]
Cardiology
TODO
Interventional Cardiology
TODO
Oncology
TODO
Orthopaedics
TODO
Ophthalmology
TODO
Pediatrics
TODO
Dermatology
TODO
Psychology
Neurophysiology
  • Carpenter, R. & Reddi, B. Neurophysiology: A Conceptual Approach. [Online]
Music
Composition
  • Schoenberg, A. Fundamentals of Musical Composition. [Online]
  • Sturman, P. Harmony, Melody & Composition. [Online]
Notation
  • Gould, E. Behind Bars: The Definitive Guide to Music Notation. [Online]
Translations
Mathematical Subjects
Footnotes
  1. The book isn't that easy. Here are some annotations for it [1],[2]. ↩
  2. Also known as "Big Four" or "Gang of Four". ↩
About
The List of Clear Knowledge.
curated.faares.com
Resources
Readme
Activity
Stars
1 star
Watchers
1 watching
Forks
1 fork
Report repository
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode");
}
} catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); }
})();
})();

Skip to content
BranchesTags
Repository files navigation
Curated: The List of Clear Knowledge.
As the title says! recently, I become deep into special areas, and references became increasingly "dirty". So, here I'm setting the top-ranked and clear references. Classified by specialty.
  • The list contains resources written in non-English languages. You can figure it out by in LANG.
  • This list is not for school students! usually, these references need prerequisites to understand.
  • Don't consider the classification as a final fact, especially in mathematics.
[Copyrights] - [Contribution] - [Topics] - [Featured Authors] - [AR List]
Changelog
  • 22 / Jul / 2023: I uploaded some references here. Consider it as a backup.
  • 14 / Aug / 2023: You can sponsor the project to maintain & continue gathering the resources from here.
  • 18 / Mar / 2025: Music Theory, Composition added.
  • 09 / Jan / 2026: Commutative Algebra added.
  • 12 / Jan / 2026: Added to Algebraic Number Theory, and Number Theory.
  • 1 / Feb / 2026: You can now donate by Bitcoin: bitcoin:bc1qwam56zxa5lpt2wflu7hmfw8nxwelygvagq6sm8?message=Curated.
Table of Content
Mathematics
Mathematician's Work & Career
  • Pólya, G. How to Solve It.
  • Tao, T. Solving Mathematical Problems. [Online]
  • Hamkins, J. D. Proof and the Art of Mathematics. [Online]
  • Hamkins, J. D. Lectures on the Philosophy of Mathematics. [Online]
  • Paper -Tao, T. What is Good Mathemtatics? [PDF]
  • Paper -Thurston, W. P. On Proof and Progress in Mathematics. [PDF]
  • Paper -Poincaré, H. Intuition and Logic in Mathematics. [Online]
  • Lang, S. The Beauty of Doing Mathematics. [Online]
Alan Beardon, has two books [1],[2] I think it's good, but I cannot officially list it, since I didn't read them yet.
Mathematical Logic
  • Smullyan, R. M. Gödel's Incompleteness Theorems. [Online]
  • Lakatos, I. Proofs and Refutations: The Logic of Mathematical Discovery. [Online][PDF]
Category Theory
  • Smith, P. Category Theory I: Notes Towards a Gentle Introduction. [Online]
  • Smith, P. Category Theory II: More Notes Towards a Gentle Introduction. [Online]
  • Leinster, T. Basic Category Theory. [Online]
Abstract Algebra
  • Fraleigh, John B. A First Course in Abstract Algebra.
  • Paper - In Arabic -AlYasry, A. The Concept of Equivalence and its Classes in Mathematics. [Online]
  • Lang, S. Undergraduate Algebra. [Online]
Commutative Algebra
  • Atiyah, M. F., & MacDonald, I. G. Introduction to Commutative Algebra. [PDF]
Number Theory
  • Serre, J. P. A Course in Arithmetic1. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: Basic Tools. [Online]
  • Ribenboim, P. Fermat’s Last Theorem: The Proof. [Online]
Analytic Number Theory
  • Lang, S. Elliptic Functions. [Online]
Algebraic Number Theory
  • Lang, S. Algebraic Number Theory. [Online]
  • Hardy, G. H., and Wright, E. M. An Introduction to the Theory of Numbers. [PDF]
  • Ono, T. An Introduction to Algebraic Number Theory. [Online]
Geometric Number Theory
  • MIT Course. Introduction To Arithmetic Geometry. [Online]
Partition Theory
TODO
Ring Theory
  • Kleiner, I. From Numbers to Rings: The Early History of Ring Theory. [Online][PDF]
Mathematical Analysis
  • Ruden, W. Principles of Mathematical Analysis. [Online]
  • Ruden, W. Real and Complex Analysis.
  • Keisler, H. J. Elementary Calculus: An Infinitesimal Approach. [Online & PDF]
  • Lang, S. Undergraduate Analysis. [Online]
  • Lang, S. Real and Functional Analysis. [Online]
Real Analysis
  • Tao, T. Analysis I.
  • Tao, T. Analysis II.
  • Beardon, A. Limits: A New Approach to Real Analysis. [Online]
  • Paper -Tao, T. Compactness and Compactification. [PDF]
  • Paper -Raman-Sundstrom, M. A Pedagogical History of Compactness. [PDF]
Complex Analysis
  • Needham, T. Visual Complex Analysis.
  • Beautiful Paper -Velleman, D. The Fundamental Theorem of Algebra: A Visual Approach. [PDF]
  • Lang, S. Complex Analysis. [Online]
Fourier Analysis
TODO
Functional Analysis
  • Debnath, L. & Mikusinski, P. Introduction to Hilbert Spaces with Applications.
  • Ruden, W. Functional Analysis.
Harmonic Analysis
TODO
Spectral Theory
TODO
Measure Theory
  • Tao, T. An Introduction to Measure Theory. [Online]
Differential Equations
Ordinary Differential Equations (ODE)
TODO
Partial Differential Equations (PDE)
  • Craig, W. A Course on Partial Differential Equations. [Online]
Geometry
Euclidean and Non-Euclidean Geometry
  • Beardon, A. Algebra and Geometry.
Differential Geometry
  • Abate, M. & Tovena, F. Curves and Surfaces.
  • Tu, W. L. Differential Geometry: Connections, Curvature, and Characteristic Classes. [PDF][Online]
  • Lang, S. Fundamentals of Differential Geometry. [Online]
  • Spivak, M. A Comprehensive Introduction to Differential Geometry (4 Volumes). [Online]
  • Petersen, P. Classical Differential Geometry. [PDF]
Topological Geometry
  • Porteous, I. R. Topological Geometry. [Online] [PDF]
Topology
  • Munkres, J. R. Topology.
  • Hatcher, A. Notes on Introductory Point-Set Topology. [Online]
  • Khatchatourian I. MAT327 • TOPOLOGY. [Online]
  • AlYasry, A. Lectures in Advance Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Simple Explanations in Topology and Ideas of High Dimensions. [Online]
  • Armstrong, M. A. Basic Topology. [Online]
Algebraic Topology
  • Hatcher, A. Algebraic Topology. [Online]
  • Paper - In Arabic -AlYasry, A. Homology. [Online]
Knot Theory
  • AlYasry, A. Knot Theory. [Online]
Manifolds
  • Thurston, W. P. Geometry and Topology of Three-manifolds. [Online]
  • Thurston, W. P. How to See 3-Manifolds. [PDF]
  • Paper -Tao, T. Ricci flow. [PDF]
  • Knopf, D. & Chow, B. The Ricci Flow: An Introduction. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part I: Geometric Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects. [PDF][Online]
  • Various Authors. The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects. [PDF][Online]
  • Tu, W. L. An Introduction to Manifolds. [PDF][Online]
  • Petersen, P. Manifold Theory. [PDF]
Riemann Geometry
  • Petersen, P. Riemann Geometry. [Online]
Riemann Surfaces
  • Beardon, A. A Primer on Riemann Surfaces. [Online]
Graph Theory
  • Wilson, R. J. Introduction to Graph Theory. [Online][PDF]
Theory of Expander Graphs
Surveys
  • Goldreich, O. Basic Facts about Expander Graphs. [Online]
  • Hoory, S. & Linial, N. & Wigderson, A. Expander Graphs and Their Applications. [PDF]
Theory of Hypergraph
TODO
Combinatorics
TODO
Game Theory
TODO
Computer Science
Theoretical Computer Science
  • Sipser, M. Introduction to The Theory of Computation.
  • Arora, S. & Barak, B. Computational Complexity: A Modern Approach. [Online]
  • Barak, B. Introduction to Theoretical Computer Science. [Online]
  • Wigderson, A. Mathematics and Computation: A Theory Revolutionizing Technology and Science. [Online]
  • Hopcroft, J. Introduction to Automata Theory, Languages, and Computation. [Online]
  • Papadimitriou, C. Computational Complexity. [Online]
  • Lewis, C. & Papadimitriou, C. Elements of the Theory of Computation. [Online]
  • Essential Paper -Shannon, C. E. A Mathematical Theory of Communication. [PDF]
  • Essential Paper -Cook, S. A. The Complexity of Theorem-Proving Procedures. [Online][PDF Old][PDF Modern]
  • Essential Paper -Turing, A. On Computable Numbers, with an Application to the Entscheidungs problem. [Online]
  • Paper -Valiant, L. G. Three Problems in Computer Science. [Online]
Randomness and Pseudo-Randomness
Surveys
  • Various Authors. On the works of Avi Wigderson. [Online][PDF]
  • Aaronson, S. P =? NP. [PDF]
  • Vadhan, S. The Unified Theory of Pseudorandomness. [Online][PDF]
Cryptography
  • Goldreich, O. Foundations of Cryptography: A Primer. [Online]
  • Goldreich, O. The Foundations of Cryptography. [Online]
  • Paper -Kleppmann, M. Implementing Curve25519/X25519: A Tutorial on Elliptic Curve Cryptography. [PDF]
Artificial Intelligence
  • Russell, S. & Norving, P. Artificial Intelligence: A Modern Approach. [Online]
  • Paper -Valiant, L. G. A Theory of The Learnable. [PDF]
Algorithms and Data Structures
  • Knuth, D. The Art of Computer Programming. No one completes it, either Donald himself!!
Programming Languages
Erlang Programming Language
  • Armstrong, J. A History of Erlang. [Online]
C Programming Language
  • Kernighan, B. W. & Ritchie, D. M. The C Programming Language.
C++ Programming Language
  • Stroustrup, B. The C++ Programming Language. [Online]
Go Programming Language
  • Donovan, A. & Kernighan, B. The Go Programming Language. [Online]
Compilers
  • Essential Paper -Thompson, K. Reflections on Trusting Trust. [PDF]
Operating Systems
Linux Environment
  • LSB Workgroup, The Linux Foundation. Filesystem Hierarchy Standard. [Online]
Networks
TODO
Security
DISCLAIMER:
All resources are listed for learning and white-use purposes.
We carry no responsibility regarding any abuse.
  • Erickson, J. Hacking: The Art of Exploitation.
Software Engineering
Design Patterns
  • Gamma, E. & Helm, R. & Johnson, R. & Vlissides, J. 2 Design Patterns: Elements of Reusable Object-Oriented Software. [Online]
Statistics
Causal Inference
  • Pearl, J. Causal Inference in Statistics: A Primer. [Online]
  • Pearl, J. CAUSALITY. [Online]
Medicine
Surgery
  • Schwartz, S. I. Principles of Surgery. [Online]
Gastroenterology
  • Yamada, T. Textbook of Gastroenterology. [Online]
Cardiology
TODO
Interventional Cardiology
TODO
Oncology
TODO
Orthopaedics
TODO
Ophthalmology
TODO
Pediatrics
TODO
Dermatology
TODO
Psychology
Neurophysiology
  • Carpenter, R. & Reddi, B. Neurophysiology: A Conceptual Approach. [Online]
Music
Composition
  • Schoenberg, A. Fundamentals of Musical Composition. [Online]
  • Sturman, P. Harmony, Melody & Composition. [Online]
Notation
  • Gould, E. Behind Bars: The Definitive Guide to Music Notation. [Online]
Translations
Mathematical Subjects
Footnotes
  1. The book isn't that easy. Here are some annotations for it [1],[2]. ↩
  2. Also known as "Big Four" or "Gang of Four". ↩
About
The List of Clear Knowledge.
curated.faares.com
Resources
Readme
Activity
Stars
1 star
Watchers
1 watching
Forks
1 fork
Report repository
Contributors
Languages