diff --git a/README.md b/README.md index 3e589fd..9fb0a48 100644 --- a/README.md +++ b/README.md @@ -74,6 +74,7 @@ A curated list of awesome mathematics resources. * [edX](https://www.edx.org/course/subject/math) * [Brilliant](https://brilliant.org/courses/#math-foundational) * [WooTube](https://misterwootube.com/) +* [Mathigon](https://mathigon.org/) ## Learn to Learn @@ -135,7 +136,9 @@ A curated list of awesome mathematics resources. * [Paul's Online Math Notes](http://tutorial.math.lamar.edu/) - Paul Dawkins (Lamar University) * [List of electronic textbooks](http://faculty.atu.edu/mfinan/nnotes.html) - Marcel B. Finan (Arkansas Tech University) * [Topology Atlas](http://at.yorku.ca/topology/) - +* [Recreations in Math](http://djm.cc/library/Recreations_in_Mathematics_Licks_edited.pdf) - H. E. Licks +* [Magic Squares and Cubes](http://djm.cc/library/Magic_Squares_Cubes_Andrews_edited.pdf) - W. S. Anderson +* [Convex Optimization](https://web.stanford.edu/~boyd/cvxbook/) - Stephen Boyd and Lieven Vandenberghe # Lecture Notes @@ -225,6 +228,10 @@ A curated list of awesome mathematics resources. * [A Course in Universal Algebra](http://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html) - S. Burris, H.P. Sankappanavar * [A Course in Commutative Algebra](https://faculty.math.illinois.edu/~r-ash/ComAlg.html) - Robert Ash +* [First Course in Algebra](http://djm.cc/library/First_Algebra_Hawkes_Luby_Touton_edited.pdf) - Herbert E. Hawkes, William A. Luby, Frank C. Touton (PDF) +* [Second Course in Algebra](http://djm.cc/library/Second_Algebra_Hawkes_Luby_Touton_edited.pdf) - Herbert E. Hawkes, William A. Luby, Frank C. Touton +* [Algebra: An Elementary Text-Book, Part I](http://djm.cc/library/Algebra_Elementary_Text-Book_Part_I_Chrystal_edited.pdf) - G. Chrystal (PDF) +* [Algebra: An Elementary Text-Book, Part II](http://djm.cc/library/Algebra_Elementary_Text-Book_Part_II_Chrystal_edited02.pdf) - G. Chrystal (PDF) ### Abstract Algebra @@ -262,6 +269,8 @@ A curated list of awesome mathematics resources. * [Introduction to Applied Linear Algebra](https://web.stanford.edu/~boyd/vmls/vmls.pdf) - Stephen Boyd (Stanford University), Lieven Vandenberghe (UCLA) * [Linear Algebra Done Wrong](https://www.math.brown.edu/~treil/papers/LADW/LADW_2017-09-04.pdf) - Sergei Treil * [Immersive Linear Algebra](http://immersivemath.com/ila/index.html) - J. Ström, K. Åström, and T. Akenine-Möller +* [Interactive Linear Algebra](https://textbooks.math.gatech.edu/ila/) - Dan Margalit and Joseph Rabinoff +* [Linear Algebra, Infinite Dimensions, and Maple](https://people.math.gatech.edu/~herod/Hspace/Hspace.html) - James Herod ### Ring Theory @@ -299,6 +308,11 @@ A curated list of awesome mathematics resources. * [Elements](http://aleph0.clarku.edu/~djoyce/java/elements/toc.html) - Euclid * [Euclid's Elements Redux](http://starrhorse.com/euclid/) - Daniel Callahan * [Mathematical Illustrations](http://www.math.ubc.ca/~cass/graphics/manual/) - Bill Casselman +* [Byrne's Euclid](https://www.c82.net/euclid/) - Oliver Byrne +* [Plane Geometry](http://djm.cc/library/Plane_Geometry_Wentworth_Smith_edited.pdf) - George Wentworth and David Eugene Smith +* [Planes and Spherical Trigonometry](http://djm.cc/library/Plane_Spherical_Trigonometry_Wentworth_Smith_edited_2.pdf) - George Wentworth and David Eugene Smith +* [Coordinate Geometry](http://djm.cc/library/Coordinate_Geometry_Fine_Thompson_edited03.pdf) - Henry Buchard Fine and Henry Dallas Thompson (PDF) +* [Analytic Geometry](http://djm.cc/library/Analytic_Geometry_Siceloff_Wentworth_Smith_edited.pdf) - Lewis Parker Siceloff, George Wentworth, David Eugene Smith ### Differential Geometry @@ -366,6 +380,8 @@ A curated list of awesome mathematics resources. * [Introduction to Calculus I and II](http://www.math.odu.edu/~jhh/counter10.html) - J.H. Heinbockel * [Active Calculus](http://faculty.gvsu.edu/boelkinm/Home/Active_Calculus.html) - Matt Boelkins * [Supplements to the Exercises in Chapters 1-7 of Walter Rudin's "Principles of Mathematical Analysis"](https://math.berkeley.edu/~gbergman/ug.hndts/#Rudin) - George M. Bergman +* [Calculus Made Easy](http://calculusmadeeasy.org/) - Silvanus P. Thompson +* [Elemens of Differential and Integral Calculus](http://djm.cc/library/Elements_Differential_Integral_Calculus_Granville_edited_2.pdf) - William Anthony Granville (PDF) ### Harmonic Analysis @@ -387,6 +403,7 @@ A curated list of awesome mathematics resources. * [Complex Analysis](https://web.archive.org/web/20150620124453/https://www.math.washington.edu/~marshall/math_536/Notes.pdf) - Donald E. Marshall * [A Concise Course in Complex Analysis and Riemann Surfaces](http://www.math.uchicago.edu/~schlag/bookweb.pdf) - Wilhelm Schlag * [Complex Analysis](http://people.math.gatech.edu/%7Ecain/winter99/complex.html) - G. Cain (Georgia Tech) +* [Complex Analysis](https://complex-analysis.com/) - Juan Carlos Ponce Campuzano ### Functional Analysis @@ -421,6 +438,7 @@ A curated list of awesome mathematics resources. * [Elementary Differential Equations](http://digitalcommons.trinity.edu/mono/8/) - William F. Trench * [Elementary Differential Equations With Boundary Value Problems](http://digitalcommons.trinity.edu/mono/9/) - William F. Trench * [Notes on Diffy Qs: Differential Equations for Engineers](http://www.jirka.org/diffyqs/) - Jiří Lebl +* [Differential Equations](http://djm.cc/library/Differential_Equations_Phillips_edited.pdf) - H. B. Phillips (PDF) ### Partial Differential Equations @@ -440,6 +458,7 @@ A curated list of awesome mathematics resources. * [Probability and Statistics Cookbook](https://github.com/mavam/stat-cookbook/releases/download/0.2.3/stat-cookbook.pdf) - Matthias Vallentin (UC Berkeley) * [The Only Probability Cheatsheet You'll Ever Need](http://www.wzchen.com/probability-cheatsheet/) - William Chen * [An Introduction to Probability and Random Processes](http://www.ellerman.org/Davids-Stuff/Maths/Rota-Baclawski-Prob-Theory-79.pdf) - Gian-Carlo Rota, Kenneth Baclawski +* [Foundations of Constructive Probability Theory](https://arxiv.org/pdf/1906.01803.pdf) - Yuen-Kwok Chan ### Statistics @@ -455,6 +474,11 @@ A curated list of awesome mathematics resources. * [NIST Handbook of Statistical Methods](http://itl.nist.gov/div898/handbook/index.htm) - Resource on practical statistics directed towards scientists and engineers. * [Concepts and Applications of Inferential Statistics](http://vassarstats.net/textbook/) - Richard Lowry * [Rough set data analysis: A road to non-invasive knowledge discovery](http://www.cosc.brocku.ca/~duentsch/papers/methprimer2.html) - Ivo Düntsch, Günther Gediga +* [Statistical Thinking for the 21st Century](https://statsthinking21.org/) - Russell A. Poldrack +* [Odds and Ends: Introducing Probability & Decision with a Visual Emphasis](https://jonathanweisberg.org/vip/) - Jonathan Weisberg +* [Seeing Theory](https://seeing-theory.brown.edu/) - Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang +* [Statistics Done Wrong](https://www.statisticsdonewrong.com/) - Alex Reinhart +* [All of Statistics: A Concise Course in Statistical Inference](https://link.springer.com/book/10.1007/978-0-387-21736-9) - Larry Wasserman ### Statistical Learning @@ -501,6 +525,7 @@ A curated list of awesome mathematics resources. * [Algorithms and Complexity](http://www.math.upenn.edu/%7Ewilf/AlgComp3.html) - H. Wilf * [Lecture Notes on Optimization](http://people.eecs.berkeley.edu/~varaiya/papers_ps.dir/NOO.pdf) - Pravin Varaiya * [Information Theory, Inference, and Learning Algorithms](http://www.inference.org.uk/mackay/itila/book.html) - David J. C. MacKay +* [The Chaos Textbook: Mathematics in the age of the computer](https://hypertextbook.com/chaos/) - Glenn Elert ## Mathematical Biology