Math
364 items from rossant/awesome-math ★16,574
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Mathematical Illustrations personal.math.ubc.ca
Bill Casselman's guide to creating clear mathematical diagrams and illustrations.
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Fundamentals of Linear Algebra personal.math.ubc.ca
James B. Carrell.
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UBC CLP Calculus Textbooks personal.math.ubc.ca
Free textbooks, problem books, and source files for a four-course university sequence in differential, integral, multivariable, and vector calculus.
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A Short Introduction to Probability people.smp.uq.edu.au
Dirk P. Kroese (University of Queensland).
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Elementary Calculus: An Approach Using Infinitesimals people.math.wisc.edu
Professor H. Jerome Keisler.
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Complex Variables people.math.sc.edu
R. B. Ash, W.P. Novinger.
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Semi-Riemann Geometry and General Relativity people.math.harvard.edu
Shlomo Sternberg.
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Lie Algebras people.math.harvard.edu
Shlomo Sternberg.
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Theory of Functions of a Real Variable people.math.harvard.edu
Shlomo Sternberg.
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Advanced Calculus people.math.harvard.edu
Lynn Loomis, Schlomo Sternberg.
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Surreal Numbers - How two ex-students turned on to pure mathematics and found total happiness people.math.harvard.edu
D. E. Knuth.
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Probability and Stochastic Processes with Applications people.math.harvard.edu
Oliver Knill (Harvard University).
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Abstract Algebra: Harvard Extension people.math.harvard.edu
Benedict Gross.
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Advanced Real Analysis people.math.harvard.edu
Curtis T. McMullen.
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Measure and Integration people.math.ethz.ch
Dietmar A. Salamon (ETH Zürich).
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Introduction to Differential Geometry people.math.ethz.ch
Joel W. Robbin, Dietmar A. Salamon.
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Lecture Notes on Optimization people.eecs.berkeley.edu
Pravin Varaiya.
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Numerical Analysis (Second Edition) people.cs.uchicago.edu
Free second-edition textbook by L. Ridgway Scott on the theory and practice of numerical methods.
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Elementary Topology Problem Textbook pdmi.ras.ru
Oleg Viro.
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Proofs and Types paultaylor.eu
Jean-Yves Girard.
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Markov Chains and Mixing Times pages.uoregon.edu
David A. Levin, Yuval Peres, Elizabeth L. Wilmer.
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OpenStax Mathematics openstax.org
Peer-reviewed, openly licensed textbooks for school and introductory college mathematics from Rice University.
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Elementary Algebra 2e openstax.org
Free one-semester textbook from OpenStax with web and PDF editions, worked examples, practice exercises, chapter reviews, and answer keys.
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Mechanism of the Heavens (1831) openlibrary.org
Mary Somerville.
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OpenIntro Statistics openintro.org
Free introductory textbook for college courses and self-study, with datasets, labs, slides, videos, exercises, and accessible PDFs.
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Euclid's Elements Redux open.umn.edu
Open textbook by Daniel Callahan that presents Euclid with modern commentary and exercises.
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Discrete Mathematics: An Open Introduction open.umn.edu
Free fourth-edition undergraduate textbook by Oscar Levin, with inquiry activities, more than 750 exercises, solutions and hints, and coverage of proofs, graph theory, counting, sequences, and discrete structures.
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Waterloo Open Math open.math.uwaterloo.ca
Free university-level courseware with lessons, exercises, and immediate feedback from the University of Waterloo.
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Basic Concepts of Mathematics onlinebooks.library.upenn.edu
Elias Zakon.
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The On-Line Encyclopedia of Integer Sequences oeis.org
Great compendium of many different integer sequences. Founded 1964 by N. J. A. Sloane.
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MIT OpenCourseWare ocw.mit.edu
Free MIT course materials, including notes, assignments, and exams for undergraduate and graduate mathematics.
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Calculus Open Textbook ocw.mit.edu
Gilbert Strang (MIT OpenCourseWare).
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Essential Coding Theory ocw.mit.edu
Free graduate MIT course on error-correcting codes, Hamming spaces, and the algebraic and complexity aspects of coding theory.
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Nonlinear Optimization ocw.mit.edu
Free graduate MIT course covering analytical and computational methods for unconstrained and constrained optimization.
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Information Theory ocw.mit.edu
Free graduate MIT course on entropy, source and channel coding, rate distortion, Gaussian channels, feedback, and multi-user information theory.
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Mathematics for Computer Science ocw.mit.edu
Free MIT OpenCourseWare course with an open textbook, videos, notes, problem sets, and exams on proofs, discrete structures, counting, graphs, modular arithmetic, and discrete probability.
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Differential Geometry ocw.mit.edu
Rigorous undergraduate MIT OpenCourseWare course with lecture notes and problem sets centered on curves, surfaces, and curvature.
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Introduction to Representation Theory ocw.mit.edu
Free MIT course by Pavel Etingof with lecture notes and problem sets on representations of groups and algebras, categories, and quivers.
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Mathematics of Machine Learning ocw.mit.edu
Free graduate MIT course on the mathematical and statistical foundations of machine learning, with lecture notes, assignments, and problem-set solutions.
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Topics in Mathematics with Applications in Finance ocw.mit.edu
Free undergraduate MIT course covering bond mathematics, probability, portfolio methods, time series, stochastic processes, and quantitative finance.
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GNU Octave octave.org
Free environment for numerical computing, linear algebra, plotting, and MATLAB-compatible scripts.
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Introduction to Vectors and Tensors, Vol. 2: Vector and Tensor Analysis oaktrust.library.tamu.edu
Ray M. Bowen, C. C. Wang.
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Introduction to Vectors and Tensors, Vol. 1: Linear and Multilinear Algebra oaktrust.library.tamu.edu
Ray M. Bowen, C. C. Wang.
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NRICH nrich.maths.org
Free curriculum-linked problems, investigations, articles, and teacher guidance from the University of Cambridge for learners aged 3 to 18.
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nLab ncatlab.org
Collaborative research-level notes and expositions in category theory, homotopy theory, mathematical physics, and related areas.
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Lectures on Differential Geometry mysite.science.uottawa.ca
Wulf Rossmann.
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Introduction to Complex Analysis mtaylor.web.unc.edu
Michael Taylor.
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Mathematics Subject Classification 2020 msc2020.org
The standard subject taxonomy maintained by Mathematical Reviews and zbMATH.
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Lecture Notes in Real Analysis ms.mcmaster.ca
Eric T. Sawyer (McMaster University).
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Galois Theory mreid.warwick.ac.uk
Miles Reid.
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