Theory
1,949 items in 14 lists
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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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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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Intuitionistic Type Theory archive-pml.github.io
Per Martin-Lof.
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Functional Analysis: Lecture Notes apps.math.msu.edu
Jeff Schenker (Michigan State University).
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