Math
364 items from rossant/awesome-math ★16,574
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Fundamentals of Numerical Computation fncbook.com
Online textbook by Tobin Driscoll and Richard Braun with Julia, MATLAB, and Python editions covering core numerical methods for linear systems, approximation, root finding, ODEs, and PDEs.
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Introduction to Algebraic Number Theory feog.github.io
F. Oggier.
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Algebraic Methods feog.github.io
F. Oggier.
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An Introduction to Formal Logic fecundity.com
P.D. Magnus (University at Albany).
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Feedback Systems: An Introduction for Scientists and Engineers fbsbook.org
Free textbook by Karl J. Åström and Richard M. Murray on modeling, feedback, stability, performance, state feedback, and control design.
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Active Calculus faculty.gvsu.edu
Matt Boelkins.
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Research and Lecture Notes fabricebaudoin.blog
Advanced notes by Fabrice Baudoin on stochastic analysis, differential geometry, and Dirichlet spaces.
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European Mathematical Society Magazine euromathsoc.org
The Magazine features announcements about meetings and conferences, articles outlining current trends in scientific development, reports on member societies, and many other informational items.
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Error Correction Zoo errorcorrectionzoo.org
Maintained reference database of classical, quantum, and hybrid error-correcting codes, with definitions, relationships, and references.
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Encyclopedia of Mathematics encyclopediaofmath.org
Reference articles on mathematical concepts, theorems, biographies, and applications.
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Wikibooks en.wikibooks.org
Community-authored collection of open mathematics textbooks and instructional books.
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An Introduction to Probability and Random Processes ellerman.org
Gian-Carlo Rota, Kenneth Baclawski.
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An Introduction to Statistical Signal Processing ee.stanford.edu
Robert M. Gray, Lee D. Davisson.
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edX edx.org
University and professional mathematics courses, with audit and paid options varying by course.
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Galois Theory eclass.uoa.gr
Ian Stewart.
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Numerical Analysis for Engineers ece.uwaterloo.ca
University of Waterloo course with lectures, assignments, projects, and MATLAB material on numerical methods for engineers.
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Introduction to Signal Processing ece.rutgers.edu
Sophocles J. Orfanidis (Rutgers University).
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Conway names, the simplicity hierarchy and the surreal number tree doi.org
Philip Ehrlich.
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Elementary Differential Equations With Boundary Value Problems digitalcommons.trinity.edu
William F. Trench.
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Elementary Differential Equations digitalcommons.trinity.edu
William F. Trench.
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Proofs and Concepts: the fundamentals of abstract mathematics deductivepress.ca
Joy Morris, Dave Morris.
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Dexter Chua dec41.user.srcf.net
Harvard. 2013 ~ 2018. Covers Analysis, Probability, Linear Algebra, Complex Analysis, Numerical Analysis, Statistics, Optimization, Algebraic Topology, Quantum Field Theory, and more.
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Quantum Field Theory davidtong.org
David Tong's Cambridge master's-level lecture notes, problem sheets, HTML text, and recorded lectures on classical fields, quantization, Dirac fields, and quantum electrodynamics.
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Advanced Linear Algebra: Foundations to Frontiers cs.utexas.edu
Online text by Robert van de Geijn and Margaret Myers on algorithms for advanced numerical linear algebra.
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Graph Theory cs.unibo.it
Reinhard Diestel.
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Type Theory and Functional Programming cs.kent.ac.uk
Simon Thompson.
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Discrete Differential Geometry cs.cmu.edu
Keenan Crane.
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Ordinary Differential Equations: Lecture Notes cs.bgu.ac.il
Eugen J. Ionascu.
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Coursera coursera.org
University and industry mathematics courses, with access and payment varying by course.
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Sets, Relations, Functions cosc.brocku.ca
Ivo Düntsch, Günther Gediga.
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Complex Analysis complex-analysis.com
Juan Carlos Ponce Campuzano.
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Crux Mathematicorum by Canadian Mathematical Society cms.math.ca
Challenging problems for secondary and undergraduate students, including an Olympiad Corner.
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Basics of Algebra, Topology, and Differential Calculus cis.upenn.edu
Jean Gallier (University of Pennsylvania).
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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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Chaos: Classical and Quantum chaosbook.org
Maintained technical webbook on dynamical systems, periodic orbits, deterministic chaos, statistical mechanics, and quantum chaos.
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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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Open Logic Textbook builds.openlogicproject.org
collaborative effort, main contributors listed here.
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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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