math.md

Machine Learning

• Mathematics for Machine Learning by Marc Peter Deisenroth, A Aldo Faisal, and Cheng Soon Ong
• (Whistled) melody detection workshop. First presented at LauzHack Days (Nov 13, 2018).
• Introduction to Linear Algebra for Applied Machine Learning with Python
• https://seyonechithrananda.com/Biodojo-Sessions-Math-for-Machine-Learning-0549626788c648309695b4ee3dad8f13
• Mathematics for Machine Learning - Linear Algebra | Imperial College London

Calculus

• https://www.amazon.com/Infinite-Powers-Calculus-Reveals-Universe/dp/1328879984
• Open-source textbooks on calculus, linear algebra, differential equations, real analysis, abstract algebra, combinatorics, and introduction to proof -- a partial list
• https://github.com/nadvornix/calculus-made-easy + https://twitter.com/helenczerski/status/1375915057905856513

Book

• The Art and Craft of Problem Solving - Paul Zeitz
• Concrete Mathematics: A Foundation for Computer Science (2nd Edition)
• https://www.amazon.com/Quadrivium-Classical-Liberal-Geometry-Cosmology-ebook/dp/B08FF2C3ZV
• Introduction to Graph Theory (Dover Books on Mathematics)
• http://danaernst.com/resources/free-and-open-source-textbooks
• Mathematical Illustrations: A Manual of Geometry and PostScript
• https://www.amazon.com/Network-Science-Albert-L%C3%A1szl%C3%B3-Barab%C3%A1si/dp/1107076269
• https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers
• https://www.amazon.com/Think-Stats-Exploratory-Data-Analysis/dp/1491907339
• Abramowitz and Stegun: Handbook of Mathematical Functions
• https://github.com/Shraddha2702/Math-Concepts
• A Programmer's Introduction to Mathematics by Jeremy Kun
• https://yurichev.com/writings/Math-for-programmers.pdf
• https://www.neilwithdata.com/mathematics-self-learner + https://news.ycombinator.com/item?id=22400375
• Any book to study mathematics from first principles?
• Linear Algebra Done Right - http://linear.axler.net/LADRvideos.html + https://link.springer.com/book/10.1007/978-3-319-11080-6 + https://mega.nz/file/70xXHK6A
• At the Interface of Algebra and Statistics - Tai-Danae Bradley
• 3D Math Primer For Graphics and Game Development (Wordware Game Math Library)
• https://www.amazon.com/History-Mathematical-Notations-Dover-Mathematics/dp/0486677664
• Teach Yourself Logic: A Study Guide + https://en.wikipedia.org/wiki/How_to_Solve_It + https://www.edx.org/course/paradox-and-infinity + https://omereingold.wordpress.com/cs-154-introduction-to-automata-and-complexity-theory
• https://cse.buffalo.edu/faculty/atri/courses/coding-theory/book/web-coding-book.pdf + https://news.ycombinator.com/item?id=24194543
• https://www.basicbooks.com/titles/sabine-hossenfelder/lost-in-math/9781541646766 + http://backreaction.blogspot.com/2020/06/physicists-still-lost-in-math.html
• https://csgordon.github.io/books.html + https://news.ycombinator.com/item?id=25572852
• https://math.recipes/main.html + https://sat-smt.codes/main.html
• Bumping into some little known but cool computer history books lately.
• https://github.com/jaybutera/Abstract-Algebra
• https://greenteapress.com/wp/think-complexity-2e
• physics/math books that don't just recycle known arguments/history but present either a new viewpoint or lesser-known aspects of history?
• https://www.amazon.com/Mysticism-modern-mathematics-Hastings-Berkeley/dp/1418181862
• https://www.goodreads.com/book/show/6221915-exploring-mathematics-with-mathematica
• Geometry & Art: How Mathematics Transformed Art During the Renaissance by David G. Wade
• Books on Islamic Geometry & related topics
• Discrete Mathematics for Computer Science
• https://github.com/ImperialCollegeLondon/formalising-mathematics
• https://github.com/bobeff/programming-math-science#math
• https://icub.unibuc.ro/2022/09/01/seminar-teme-de-istoria-matematicii
• Front cover image for Precalculus mathematics in a nutshell : geometry, algebra, trigonometry | George F. Simmons
• Category Theory For Beginners | Richard Southwell + https://twitter.com/DumpAnalysis/status/1585336752561999872 + https://u.osu.edu/yau.22/main
• Visual Category Theory, CoPart 3 | Dmitry Vostokov
• If I were to read one and only one book (or paper/video/etc) to convince myself that category theory is good, what should it be?
• https://superstudy.guide/algorithms-data-structures/foundations/algorithmic-concepts
• Mathematical foundations of infinite-dimensional statistical models | Richard Nickl and Evarist Giné
• A History of Mathematics: From Mesopotamia to Modernity
• Recode of book "Dessins géométriques et artistiques avec votre micro-ordinateur | Jean-Paul Delahaye" (1985) with p5js
• "Arithmetices Principia, Nova Methodo Exposita" by Giuseppe Peano
• https://github.com/kenjihiranabe/The-Art-of-Linear-Algebra
• Hideyuki Matsumura, Commutative Algebra
• J. F Adams, Stable Homotopy and Generalised Homology
• Noel J. Hicks, Notes on Differential Geometry
• Street-Fighting Mathematics | Sanjoy Mahajan
• Physically Based Rendering: From Theory To Implementation | Matt Pharr, Wenzel Jakob, and Greg Humphreys
• https://en.wikipedia.org/wiki/The_Penguin_Dictionary_of_Curious_and_Interesting_Numbers + https://bookstore.ams.org/mbk-64 + https://news.ycombinator.com/item?id=38242946
• https://www.thepsmiths.com/p/review-math-from-three-to-seven-by, https://www.amazon.com/Math-Three-Seven-Mathematical-Preschoolers/dp/082186873X
• K-spectral sets, operator tuples and related function theory | Daniel Estévez Sánchez
• https://bigthink.com/mini-philosophy/the-hidden-mathematics-behind-why-you-find-things-beautiful, https://www.amazon.com/Blueprints-How-Mathematics-Shapes-Creativity/dp/1541605691

Course

• https://github.com/llSourcell/learn_math_fast
• https://github.com/Developer-Y/math-science-video-lectures#mathematics
• https://github.com/ossu/computer-science#core-math + https://github.com/ossu/computer-science#advanced-math
• https://twitter.com/FedericoArdila/status/1241414233444810753 + https://m.youtube.com/user/federicoelmatematico/playlists
• Cambridge Mathematics Lecture Notes
• Notes for courses taken at Harvard (2015--2019)
• http://abel.math.harvard.edu/pamphlets/courses.html
• https://github.com/hongshin/DiscreteMath
• https://cosmolearning.org/courses/advanced-real-analysis-with-ole-christensen https://m.youtube.com/playlist?list=PLaLOVNqqD-2FgXrlAPLv-iJRH-SriVqoq
• https://www.udemy.com/course/math-for-unreal-engine + https://m.youtube.com/playlist?list=PLsyGu3bA_w_CmxrMvj9Hbcnr6rwpkt7c5
• CSE 101: Design and Analysis of Algorithms
• Advanced Algorithms | David R. Karger
• https://github.com/spatialaudio/digital-signal-processing-lecture
• https://github.com/jvierine/signal_processing_course

Cinema

• https://m.youtube.com/user/standupmaths/videos
• Tutorials by Inigo Quilez
• CG Experiments and Demos by Inigo Quilez
• Math by Inigo Quilez
• https://m.youtube.com/user/professorleonard57/playlists
• https://m.youtube.com/results?search_query=%22gilbert+strang%22
• MathTheBeautiful
• Sandy Bultena has a great series on Euclid's elements
• Error Correcting Codes (ECCs) by eigenchris
• Tensors for Beginners by eigenchris
• Tensor Calculus by eigenchris
• https://m.youtube.com/user/XylyXylyX/playlists
• [High school math by Eddie Woo]https://m.youtube.com/user/misterwootube/playlists
• https://projects.iq.harvard.edu/stat110/youtube
• Stephen Boyd Convex Optimization
• Tobias Osborne
• David Tong: Lectures on Quantum Field Theory
• https://m.youtube.com/user/njwildberger/playlists
• https://m.youtube.com/user/ControlLectures/playlists
• https://m.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA/playlists
• Real Analysis: Lectures by Professor Francis Su
• Think Twice
• The Art of Math: A No-Nonsense Guide - Ilya (Ilusha) Tsinis
• The Free Will Lectures - John Conway (2009)
• "CS Theory Toolkit" -- graduate course 15-751 taught at Carnegie Mellon University (CMU) in Spring 2020.
• https://www.freecodecamp.org/news/learn-algebra-to-improve-your-programming-skills
• https://m.youtube.com/c/EasyTheory/playlists
• https://github.com/davidwparker/programmingtil-3d-math + https://m.youtube.com/playlist?list=PLPqKsyEGhUnaxVxzRaSKs1gSSJMknhwrL
• https://m.youtube.com/c/SyberMath/playlists
• Introduction to Complex Analysis | Petra Bonfert-Taylor
• A strange determinant – Timothy Gowers solves a problem
• https://m.youtube.com/c/InigoQuilez/playlists
• Roger Penrose explains Godel's incompleteness theorem in 3 minutes
• Mathematical Association of America
• What are some of your favorite recorded math lecturers or talks?
• Math For Game Devs | Freya Holmér
• Doing the math | Scott Manley
• Burkard Polster + Putting Two and Two Together: Selections from the Mathologer Files
• Matematici pentru politehnisti | ALEXANDRU ȘTEFAN NEGRESCU + Admitere UPB 2021 - Matematică
• Numerical linear algebra | Toby Driscoll

Community

• American Mathematical Society
• http://gustavbertram.com/learning/math
• The World of YouTube Math Communication | Scott Hershberger
• Edward Frenkel
• Aareyan Manzoor: https://m.youtube.com/@user-og9ub9ds3b/videos, https://aareyanmanzoor.github.io/sources.html
• https://www.bacondarwin.co.uk/maths + https://nrich.maths.org/frontpage + https://www.amazon.co.uk/The-Elephant-Classroom-Helping-Children/dp/0285638475
• https://fermatslibrary.com/s/mental-calculation-a-reminiscence-of-the-late-mr-g-p-bidder

Discrete mathematics

• Boolean algebra
• Combinatory
• Graph theory
• Formal language theory
• Mathematical logic
• Number theory

Mathematician

• Évariste Galois + https://www.damninteresting.com/radical-solutions
• John Horton Conway (1937-2020) + http://raganwald.com/2020/05/03/fractran.html
• http://martin-gardner.org/MATHEMATICIAN.html
• https://www.iquilezles.org/www/index.htm
• https://www.newscientist.com/people/muhammad-ibn-musa-al-khwarizmi
• Alvaro Lozano-Robledo + https://alozano.clas.uconn.edu/math5020-elliptic-curves
• Mircea Pitici
• Paul Lockhart
• Stephen Wolfram: https://writings.stephenwolfram.com/2019/02/seeking-the-productive-life-some-details-of-my-personal-infrastructure, https://www.wolframscience.com/metamathematics, https://www.reddit.com/r/IAmA/comments/axf32h/i_am_stephen_wolfram_founder_ceo_of_wolfram, https://www.amazon.com/Metamathematics-Foundations-Physicalization-Stephen-Wolfram/dp/1579550762
• Matematicieni din prima jumatate a secolului al XX-lea
• Matematica în România. Profesorii noştri - modele de viaţă | Eufrosina Otlăcan

Miscellaneous

• https://gabrieleromanato.name/discrete-mathematics-and-programming
• https://github.com/llSourcell/Mathematics_for_Beginners
• Rocket Men by Robert Kurson
• What We Cannot Know: Explorations at the Edge of Knowledge
• A calculator for the Terminal that renders beautiful math.
• https://unprovable.github.io/jekyll/update/2016/11/13/Maths-For-Hackers-The-Hacker-Theorem.html + https://unprovable.github.io/jekyll/update/2016/11/18/Maths-For-Hackers-The-Recursion-Theorem.html + https://unprovable.github.io/jekyll/update/2016/11/20/Maths-For-Hackers-Enumeration-and-Insight.html
• https://primes.utm.edu/primes/home.php + https://primes.utm.edu/primes/download.php + https://primes.utm.edu/lists/small/ + https://primes.utm.edu/primes/search.php
• NIST Digital Library of Mathematical Functions + http://backreaction.blogspot.com/2010/05/abramowitzstegun-goes-online.html
• https://amilajack.com/the-languages-of-mathematics
• Skateboard Tricks and Topological Flips
• https://github.com/Pomax/BezierInfo-2
• https://github.com/eltuck/Resources#math-programming-software
• https://github.com/pyxelr/recommendations-for-engineers#math-2
• https://blog.maximeheckel.com/posts/cubic-bezier-from-math-to-motion
• https://antitypical.com/posts/2021-08-14-sequent-calculus-cheat-sheet
• SDF are fun tools for geometry creation
• https://github.com/E869120/math-algorithm-book

Tool

• https://www.mathway.com/Algebra
• Convert mathematical equations to SVGs, PNGs, or MathML. A general wrapper to Lasem and mtex2MML
• http://www.ossmann.com/protractor
• https://github.com/winston-h-zhang/math-at-usc
• Multilingual dictionary of mathematical terminology

Teacher

• https://simonaileapop.wordpress.com/2013/01/01/profesorului-gheba-omul-care-a-scos-la-tabla-tara-intreaga
• Liping Ma
• https://kotaku.com/on-pornhub-math-teacher-makes-his-mark-teaching-calcul-1847927535
• https://www.observatorcultural.ro/author/liviuornea
• David A. Smith
• Burkard Polster
• Jeremy Kun
• Andrej Bauer
• Christopher Davis: https://www.math.uci.edu/~davis/teach, https://github.com/ChristopherDavisUCI, https://m.youtube.com/user/Review180B/playlists
• Alexandru Ștefan Negrescu