Math
Mathematics: proofs, geometry, calculus, linear algebra, probability, statistics, and math explained visually.
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Notes on Differential Geometry and Lie Groups cis.upenn.edu
Jean Gallier (University of Pennsylvania).
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Algebraic Geometry cis.upenn.edu
Jean Gallier, Stephen S. Shatz (University of Pennsylvania).
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Introduction to Probability chance.dartmouth.edu
Charles M. Grinstead, J. Laurie Snell.
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Chalkdust Magazine chalkdustmagazine.com
Independent magazine for mathematically curious readers, with free expository articles, interviews, puzzles, and downloadable issues.
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Mathematics of the Discrete Fourier Transform (DFT) with Audio Applications ccrma.stanford.edu
Julius O. Smith III (Stanford University).
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How to Prove It: A Structured Approach (3rd Edition) cambridge.org
Paid textbook by Daniel J. Velleman.
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A Guide to Complex Variables cambridge.org
Paid textbook by Steven G. Krantz.
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Algebraic Statistics for Computational Biology cambridge.org
Paid textbook edited by Lior Pachter and Bernd Sturmfels.
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Calculus Made Easy calculusmadeeasy.org
Silvanus P. Thompson (1910).
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Complex Analysis cain.math.gatech.edu
G. Cain (Georgia Tech).
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Online Mathematics Textbooks cain.math.gatech.edu
Index of freely available mathematics textbooks maintained at Georgia Tech.
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Multivariable Calculus cain.math.gatech.edu
G. Cain, J. Herod (Georgia Tech).
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Byrne's Euclid c82.net
Interactive web edition of Oliver Byrne's color-coded presentation of Euclid's first six books.
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Brilliant brilliant.org
Interactive, problem-based lessons in foundational mathematics, probability, and related quantitative subjects.
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Bridges bridgesmathart.org
Annual conference on mathematical connections in art, music, architecture, and culture.
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Lecture Notes in Algebraic Topology bookstore.ams.org
Paid textbook by James F. Davis and Paul Kirk.
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An Introduction to Complex Analysis and Geometry bookstore.ams.org
Paid textbook by John P. D'Angelo.
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b=M²L bm2l.github.io
Barcelona Mathematics and Machine Learning colloquia on the interaction between mathematics and machine learning, with multi-year editions and recorded talks.
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Group Theory birdtracks.eu
Predrag Cvitanović.
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BetterExplained betterexplained.com
Maintained by Kalid Azad.
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Logic and Proof avigad.github.io
Jeremy Avigad, Robert Y. Lewis, and Floris van Doorn.
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Galois Theory arxiv.org
Tom Leinster (University of Edinburgh).
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Foundations of Constructive Probability Theory arxiv.org
Yuen-Kwok Chan.
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Seven Sketches in Compositionality: An Invitation to Applied Category Theory arxiv.org
Brendan Fong and David I. Spivak (MIT).
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Harmonic Analysis Lecture Notes arxiv.org
Richard S. Laugesen (University of Illinois at Urbana-Champaign).
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Theory of Statistics archive.math.arizona.edu
Graduate notes by Joseph C. Watkins on measure-based probability, decision theory, estimation, testing, and hierarchical models.
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Lectures on Statistics archive.math.arizona.edu
Free text by William G. Faris covering inference, Bayesian methods, regression, principal components, and linear models.
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Functional Analysis: Lecture Notes apps.math.msu.edu
Jeff Schenker (Michigan State University).
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Applied Combinatorics appliedcombinatorics.org
Mitchel T. Keller, William T. Trotter.
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AMS Open Math Notes ams.org
Free course notes, textbooks, and research expositions hosted by the American Mathematical Society.
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Notices of the American Mathematical Society ams.org
Publicizes activities of the Society and features surveys, reports, news, announcements, and opinions on industry trends, academia, and research.
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Bulletin of the American Mathematical Society ams.org
Expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic.
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Almost Fun almostfun.org
Free interactive middle- and high-school mathematics lessons, practice problems, and teacher resources from a nonprofit organization.
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Algebraic Geometry agag-gathmann.math.rptu.de
Andreas Gathmann (RPTU).
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Stochastic Processes adembo.su.domains
Amir Dembo (Stanford University).
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Natural Number Game adam.math.hhu.de
Interactive Lean 4 game that introduces theorem proving through guided exercises about natural numbers.
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Category Theory academic.oup.com
Paid textbook by Steve Awodey.
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3Blue1Brown 3blue1brown.com
Animated explanations of mathematics by Grant Sanderson.
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First Proof Project 1stproof.org
Independent project that publishes research-level problems, evaluation methods, solutions, and expert commentary for assessing AI systems in mathematics.
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Data Structures and Algorithms people.mpi-inf.mpg.de
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Efficient Algorithms and Intractable Problems, 2001 people.eecs.berkeley.edu
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Data Structures and Algorithms online-learning.harvard.edu
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Design and Analysis of Algorithms, 2015 ocw.mit.edu
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Introduction to Algorithms mitpress.mit.edu
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Grokking Algorithms manning.com
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Fundamentals of Algorithms geeksforgeeks.org
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Thinking critically about and researching algorithms futuredata.stanford.edu
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Algorithms edx.org
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Algorithms Specialization coursera.org
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Algorithms, Part II coursera.org
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