@Ellieorange8: Mathematics Master's Strongly Recommended Math Learning Resource: awesome-math The truly high-quality math textbooks, videos, and problem sets are all compiled in a GitHub list called Awesome Math, with 14k+ stars. It breaks down 30+ fields including algebra, geometry, analysis, probability, number theory into systematic...

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Summary

Introduces a GitHub repository called Awesome Math that organizes free high-quality resources (videos, textbooks, problem sets) across 30+ math fields including algebra, geometry, analysis, etc. Updated continuously, suitable for math learners.

Mathematics Master's strongly recommended math learning resource: awesome-math The truly high-quality math textbooks, videos, and problem sets are all compiled in a GitHub list called Awesome Math, with 14k+ stars. It breaks down 30+ fields including algebra, geometry, analysis, probability, number theory into systematic entry points: video courses + e-textbooks + practice tools, even course notes from MIT and Harvard students. Updated continuously, saving your time in filtering. If you want to dominate everyone with math, just bookmark this list:

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A master’s graduate in mathematics strongly recommends this math learning resource: awesome-math. Actually, truly high-quality math textbooks, videos, and problem sets are all compiled into a GitHub list called Awesome Math, which has already garnered 14k+ stars. It breaks down 30+ fields—algebra, geometry, analysis, probability, number theory, etc.—into systematic entry points: video courses, electronic textbooks, and practice tools. It even includes lecture notes from MIT and Harvard students. It is continuously updated, saving you the time of filtering. If you want to dominate everyone with math, just bookmark this list:

rossant/awesome-math

Source: https://github.com/rossant/awesome-math

Awesome Math Awesome (https://github.com/sindresorhus/awesome)

A curated list of awesome mathematics resources.

All resources are freely available except those with a 💲 icon.

Contents
General Resources
Branches of Mathematics
Students Lecture Notes
Related Awesome Lists
License

General Resources

Learning Platforms

Khan Academy (https://www.khanacademy.org/math)
Coursera (https://www.coursera.org/courses?query=mathematics&languages=en)
MIT OpenCourseWare (http://ocw.mit.edu/courses/mathematics/)
edX (https://www.edx.org/course/subject/math)
Brilliant (https://brilliant.org/courses/#math-foundational)
WooTube (https://misterwootube.com/)
Mathigon (https://mathigon.org/)
Calculus.org (http://calculus.org/)
Ximera (https://ximera.osu.edu/) : free interactive mathematics textbooks (Ohio State University)
Almost Fun (https://www.almostfun.org/lessons/)
Oxford Mathematics (https://www.youtube.com/c/OxfordMathematics)
Math Academy (https://mathacademy.com/)
Derivative Calculus Solver (https://www.derivativecalculus.com) — A step-by-step differentiation tool focusing on the chain rule and substitution logic.

Learn to Learn

Understanding Mathematics (https://github.com/nelson-brochado/understanding-math)

Youtube Series

Brandon Foltz (https://www.youtube.com/@BrandonFoltz)
StatQuest (https://www.youtube.com/channel/UCtYLUTtgS3k1Fg4y5tAhLbw)
3Blue1Brown (https://www.youtube.com/@3blue1brown)
NPTEL (https://www.youtube.com/@iit)
Numberphile (https://www.youtube.com/@numberphile)
PatrickJMT (https://www.youtube.com/@patrickjmt)
Professor Leonard (https://www.youtube.com/@ProfessorLeonard)
- Precalculus - College Algebra/Trigonometry (https://www.youtube.com/playlist?list=PLDesaqWTN6ESsmwELdrzhcGiRhk5DjwLP)
- Calculus 1 (https://www.youtube.com/playlist?list=PLF797E961509B4EB5)
- Calculus 2 (https://www.youtube.com/playlist?list=PLDesaqWTN6EQ2J4vgsN1HyBeRADEh4Cw-)
- Calculus 3 (https://www.youtube.com/playlist?list=PLDesaqWTN6ESk16YRmzuJ8f6-rnuy0Ry7)
- Differential Equations (https://www.youtube.com/playlist?list=PLDesaqWTN6ESPaHy2QUKVaXNZuQNxkYQ_)
- To The Point Math (https://www.youtube.com/playlist?list=PLDesaqWTN6ETc1ZwHWijCBcZ2gOvS2tTN)
Crash Course (https://www.youtube.com/@crashcourse)
Harvard (https://www.youtube.com/@harvard)
MIT OpenCourseWare (https://www.youtube.com/@mitocw)
Mathologer (https://www.youtube.com/@Mathologer)
The Math District (https://www.youtube.com/@TheMathDistrict)
Mathematical Monk (https://www.youtube.com/@mathematicalmonk)
The Math Sorcerer (https://www.youtube.com/@TheMathSorcerer)

Tools

Symbolab (https://www.symbolab.com/)
Desmos (https://www.desmos.com/calculator)
Math Words (http://www.mathwords.com/)
Wolfram Alpha (http://www.wolframalpha.com/)
Maxima (https://maxima.sourceforge.io/)
Sympy (https://www.sympy.org/)
Sagemath (http://www.sagemath.org/)
MathFlow (https://github.com/Nonanti/MathFlow) - C# math expression library with symbolic computation (differentiation, simplification, equation solving)
Unit Converter (https://unitconverters.net)
GeoGebra (https://www.geogebra.org/?lang=en)
Macaulay2 (http://www2.macaulay2.com/Macaulay2/)
Singular (https://www.singular.uni-kl.de/)
GNU Octave (https://www.gnu.org/software/octave/)
Magma (http://magma.maths.usyd.edu.au/magma/)
Maple (https://www.maplesoft.com/products/Maple/)
Matlab (https://www.mathworks.com/products/matlab.html)
Wolfram Mathematica (https://www.wolfram.com/mathematica/)
Free Math (https://freemathapp.org)
xhub (https://chrome.google.com/webstore/detail/xhub/anidddebgkllnnnnjfkmjcaallemhjee)
CopyPasteMathjax (https://www.copypastemathjax.com/)
Finance calculators (https://www.financecharts.com/pages/5724-retirement-calculators-and-stock-market-tips)
Mathcheap (https://mathcheap.xyz)
Midpoint Calculator (https://midpointcalculator.co)
Quartiles Calculator (https://quartilecalculator.net)
Corca Editor (https://corca.io/)
RunMat (https://github.com/runmat-org/runmat) - Runtime for MATLAB-syntax array math with automatic CPU/GPU execution.
Structural Engineering Tools (SEPCO Engineering) (https://github.com/sepcostructural/structural-engineering-tools) - Free online calculators for beam diagrams, Canadian steel section properties, and pressure conversions.

Questions and Answers

Mathematics Stack Exchange (http://math.stackexchange.com/)
MathOverflow (http://mathoverflow.net/) - for professional mathematicians

Encyclopedia

Encyclopedia of Mathematics (https://www.encyclopediaofmath.org)
Planetmath (http://planetmath.org/)
ProofWiki (https://proofwiki.org/wiki/Main_Page)
Wolfram Mathworld (http://mathworld.wolfram.com/)
The On-Line Encyclopedia of Integer Sequences (https://oeis.org) - Great compendium of many different integer sequences. Founded 1964 by N. J. A. Sloane.
💲 The Princeton Companion to Mathematics (https://press.princeton.edu/books/hardcover/9780691118802/the-princeton-companion-to-mathematics) - Timothy Gowers (Professor, Fields medallist), June Barrow-Green (Professor), and Imre Leader (Professor).
💲 Encyclopedia of Distances (4th Edition) (https://link.springer.com/book/10.1007/978-3-662-52844-0) - Michel Marie Deza, Elena Deza.

Books

Calculus: Basic Concepts for High Schools (https://archive.org/details/TarasovCalculus) - L.V. Tarasov
Basics of Algebra, Topology, and Differential Calculus (http://www.cis.upenn.edu/~jean/math-basics.pdf) - Jean Gallier (University of Pennsylvania)
Multivariable Calculus (http://people.math.gatech.edu/%7Ecain/notes/calculus.html) - G. Cain, J. Herod (Georgia Tech)
Wikibooks (https://en.wikibooks.org/wiki/Wikibooks:Mathematics_bookshelf)
Online Mathematics Textbooks (https://people.math.gatech.edu/~cain/textbooks/onlinebooks.html)
Beginning and Intermediate Algebra (http://www.wallace.ccfaculty.org/book/Beginning_and_Intermediate_Algebra.pdf)
Free Mathematics Books (https://github.com/EbookFoundation/free-programming-books/blob/master/books/free-programming-books-subjects.md#mathematics)
Trigonometry (http://www.mecmath.net/trig/trigbook.pdf)
Math for Frontend Web Dev (https://www.manning.com/books/math-for-frontend-web-dev)
Grokking Statistics (https://www.manning.com/books/grokking-statistics)
The Math Behind Artificial Intelligence (https://www.freecodecamp.org/news/the-math-behind-artificial-intelligence-book) - Tiago Capelo Monteiro (freeCodeCamp)

Magazines

Quanta Magazine (https://www.quantamagazine.org/mathematics/) - Features latest research breakthroughs in an accessible style for non-experts.
Bulletin of the American Mathematical Society (https://www.ams.org/journals/bull/all_issues.html) - Expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic.
Notices of the American Mathematical Society (http://www.ams.org/cgi-bin/notices/amsnotices.pl?article_id=fullissue&article_type=gallery&gallery_type=fullissue) - Publicizes activities of the Society and features surveys, reports, news, announcements, and opinions on industry trends, academia, and research.
European Mathematical Society Magazine (https://euromathsoc.org/magazine) - The Magazine features announcements about meetings and conferences, articles outlining current trends in scientific development, reports on member societies, and many other informational items.
Mathematics Today by Institute of Mathematics and its Applications (https://ima.org.uk/publications/mathematics-today/) - News, opinions, and articles related to mathematics, so the reader stays updated.
Crux Mathematicorum by Canadian Mathematical Society (https://cms.math.ca/publications/crux/) - source of unique and challenging mathematical problems designed for the secondary and undergraduate levels. It includes an Olympiad Corner which is helpful for math competitions.

Blogs

BetterExplained (https://betterexplained.com/) - Maintained by Kalid Azad
ILoveMaths (http://ilovemaths.com/) - For grades 6 thru 12 in K-12 system
3blue1brown (https://www.3blue1brown.com/) - Animated Maths
Mathsisfun (https://www.mathsisfun.com) simple text lightweight site for students up to highschool
MathematicsIsAScience (https://calculus123.com/wiki/Peter_Saveliev) - Peter Saveliev (Professor of mathematics at Marshall University, Huntington WV, USA)

Meetings and Conferences

MathsJam (https://mathsjam.com/) - monthly local recreational maths/puzzle meetups and an annual gathering in Staffordshire, England
Talking Maths in Public (https://talkingmathsinpublic.uk/) - a conference for maths communicators, running every two years, usually in the UK
Bridges (https://www.bridgesmathart.org/) - an annual conference on mathematical connections in art, music, architecture, and culture. The 2025 meeting is in Eindhoven, Netherlands.

Misc

Areas of mathematics on Wikipedia (https://en.wikipedia.org/wiki/Areas_of_mathematics)
Paul’s Online Math Notes (http://tutorial.math.lamar.edu/) - Paul Dawkins (Lamar University)
List of electronic textbooks (http://faculty.atu.edu/mfinan/nnotes.html) - Marcel B. Finan (Arkansas Tech University)
Topology Atlas (http://at.yorku.ca/topology/)
Recreations in Math (http://djm.cc/library/Recreations_in_Mathematics_Licks_edited.pdf) - H. E. Licks (1917)
Magic Squares and Cubes (http://djm.cc/library/Magic_Squares_Cubes_Andrews_edited.pdf) - W. S. Andrews (1917)
Convex Optimization (https://web.stanford.edu/~boyd/cvxbook/) - Stephen Boyd and Lieven Vandenberghe
Fabrice Baudoin’s Notes (https://fabricebaudoin.wordpress.com/) - Both research and lecture notes on many topics, Including Diffusions on foliated manifold, Stochastic Calculus, Global analysis in Dirichlet spaces, and more.

Branches of Mathematics

Content Format
📖 Books
🎥 Videos
📝 Lecture notes, slides, articles, papers

Foundations of Mathematics

Transition To Pure Rigour Math

📝 Basic Concepts of Mathematics (http://www.trillia.com/zakon1.html) - Elias Zakon
📝 Book of Proof (https://richardhammack.github.io/BookOfProof/) - Richard Hammak (Virginia Commonwealth University)
📖 How to Prove It: A Structured Approach (3rd Edition) (https://ia800501.us.archive.org/7/items/how-to-prove-it-a-structured-approach-daniel-j.-velleman/How%20to%20Prove%20It%20A%20Structured%20Approach%20%28Daniel%20J.%20Velleman%29.pdf) - Daniel J. Velleman (Professor).

Set Theory

📝 Sets, Relations, Functions (http://www.cosc.brocku.ca/~duentsch/papers/methprimer1.html) - Ivo Düntsch, Günther Gediga
📝 An Introduction to Set Theory (http://www.math.toronto.edu/weiss/set_theory.pdf) - William A. R. Weiss
📝 Set Theory and Foundations of Mathematics (http://www.settheory.net/) - Sylvain Poirier
📝 Set Theory on the Stanford Encyclopedia of Philosophy (http://plato.stanford.edu/entries/set-theory/)

Logic

📝 Introduction to Logic (https://pdfs.semanticscholar.org/6967/f52773d9c2ccfc94658657a5761e0f00e95a.pdf) - Michael Genesereth, Eric Kao (Stanford University)
📝 An Introduction to Formal Logic (https://www.fecundity.com/codex/forallx.pdf) - P.D. Magnus (University at Albany)
📝 A Problem Course in Mathematical Logic (http://euclid.trentu.ca/math/sb/pcml/pcml-16.pdf) - Stefan Bilaniuk (Trent University)
📝 Computability - An introduction to recursive function theory (http://poincare.matf.bg.ac.rs/~zarkom/Book_Math__Cutland_Computability.pdf) - Nigel Cutland (University of Hull)
📝 Language, Proof, and Logic (http://homepages.uc.edu/~martinj/Symbolic_Logic/341%20Syllabus,%20Textbook,%20Handouts,%20Notes/LPL%20textbook.pdf) - Jon Barwise, John Etchemendy
📝 Mathematical Logic (http://www.mathematik.uni-muenchen.de/~schwicht/lectures/logic/ws03/ml.pdf) - Helmut Schwichtenberg
📝 Mathematical Logic (http://www.personal.psu.edu/t20/notes/logic.pdf) - Stephen G. Simpson (Pennsylvania State University)
📝 Formal Logic (http://maude.sip.ucm.es/~miguelpt/papers/flogic.pdf) - Miguel Palomino
📝 Predictive Arithmetic (https://web.math.princeton.edu/~nelson/books/pa.pdf) - Edward Nelson
📝 Proofs and Concepts: the fundamentals of abstract mathematics (http://people.uleth.ca/~dave.morris/books/proofs+concepts.html) - Joy Morris, Dave Morris
📝 Mathematical Reasoning: Writing and Proof (https://www.tedsundstrom.com/mathreasoning) - Ted Sundstrom
📝 Logic and Proof (http://leanprover.github.io/logic_and_proof/) - Jeremy Avigad, Robert Y. Lewis, and Floris van Doorn
📝 QED - an interactive textbook (https://teorth.github.io/QED) - Terence Tao
📝 Open Logic Textbook (http://builds.openlogicproject.org/) - collaborative effort, main contributors listed here (https://openlogicproject.org/people/)

Category Theory

📝 Introduction to Category Theory and Categorical Logic (http://www