Books & Lecture Notes[]
Everything listed in this section should be in a somewhat "book like" form and downloadable, so that it can be read offline and printed.
Linear Algebra[]
Title | Author | Format | URL | Publisher | pages | year |
---|---|---|---|---|---|---|
Linear Algebra | William Chen | [1] | none | |||
Linear Algebra | Jim Hefferon | [2] | none | |||
A first Course in Linear Algebra | Robert Beezer et al | [3] | none | |||
Elementary Linear Algebra | Keith Matthews | [4] | none | 1991 | ||
Lectures on Matrices | J. H. M. Wedderburn | [5] | none | 205 | 1934 | |
Elements of Abstract and Linear Algebra | Edwin H. Connell | [6] | none | 146 | 2004 | |
Linear Algebra, Infinite Dimensions, and Maple | James Herod | pdf, html | [7] | none | ||
Introduction to Vectors and Tensors - Vol. 1 & Vol. 2 | Ray M. Bowen,C. C. Wang | [8] | Plenum Press | 314+246 | 1989 | |
The Matrix Cookbook | Kaare Brandt Petersen,Michael Syskind Pedersen | [9] | none | 72 | 2012 | |
Course of Linear Algebra and Multidimensional Geometry | Ruslan Sharipov | [10] | Bakshir State University | 143 | 1996 | |
Linear Algebra Done Wrong | Sergei Treil | [11] | none | 222 | 2004 | |
Linear Algebra | Paul Dawkins | [12] | none | 324 | ||
Linear Algebra, Theory And Applications | Kenneth Kuttler | [13] | none | 495 | 2012 | |
immersive linear algebra | J. Ström, K. Åström, T. Akenine-Möller | html, javascript, interactive | [14] | none | 2017 |
Algebra[]
Title | Author | Format | URL | Publisher | pages | year |
---|---|---|---|---|---|---|
Abstract Algebra: The Basic Graduate Year | Robert B. Ash | [15] | none | 2002 | ||
A Course in Commutative Algebra | Robert B. Ash | [16] | none | 2006 | ||
Group Theory | Predrag Cvitanović | [17] | Princeton University Press | 285 | 2008 | |
Classical Groups | Peter J. Cameron | [18] | 96 | |||
Geometry and Group Theory | [19] | 181 | ||||
Algebra - Abstract and Concrete | Frederick M. Goodman | [20] | 585 | 2005 | ||
Abstract and Concrete Categories: The Joy of Cats | Jiri Adamek, Horst Herrlich,George Strecker | [21] | Wiley | 509 | 1990 | |
Abelian Categories | Peter Freyd | [22] | Harper & Row | 192 | 1964 | |
Basic Concepts of Enriched Category Theory | G.M. Kelly | [23] | Cambridge University Press | 136 | 1982 | |
A Course in Universal Algebra | Stanley N. Burris, H.P. Sankappanavar | pdf, ps | [24] | Springer | 331 | 1981 |
Workbook in Higher Algebra | David Surowski | [25] | 194 | 1992 | ||
Group Theory | J.S. Milne | [26] | none | 135 | 2011 | |
Fields and Galois Theory | J.S. Milne | [27] | none | 126 | 2011 | |
Algebraic Geometry | J.S. Milne | [28] | none | 258 | 2011 | |
Class Field Theory | J.S. Milne | [29] | none | 287 | 2011 | |
Abstract Algebra | Paul Garret | [30] | none | 412 | 2007 | |
Intro to Abstract Algebra | Paul Garret | [31] | none | 200 | 1998 | |
Groups and Symmetry | Andrew Baker | [32] | none | 68 | 2005 | |
Galois Theory | Miles Reid | [33] | none | 89 | 2004 | |
Abstract Algebra | David R. Wilkins | [34] | none | 2006 | ||
Higher Algebra | Jacob Lurie | [35] | none | 1078 | 2012 | |
Higher Topos Theory | Jacob Lurie | [36] | Princeton University Press | 960 | 2011 | |
Category Theory | Steve Awodey | [37] | Oxford University Press | 277 | 2006 | |
An Introduction to Galois Theory | Andrew Baker | [38] | 106 | 2013 | ||
Abstract Algebra: Theory and Applications | Thomas W. Judson | [39] | 442 | 2013 |
Calculus/Analysis[]
Title | Author | Format | URL | Publisher | Pages | Year |
---|---|---|---|---|---|---|
First Year Calculus | William Chen | [40] | none | |||
Fundamentals of Analysis | William Chen | [41] | none | |||
Introduction to Lebesgue Integration | William Chen | [42] | none | |||
Multivariable and Vector Analysis | William Chen | [43] | none | |||
Introduction to Complex Analysis | William Chen | [44] | none | |||
Calculus | Gilbert Strang | [45] | Wellesley-Cambridge Press | |||
Complex Analysis | George Cain | [46] | none | |||
Multivariable Calculus | George Cain, James Herod | [47] | none | |||
Advanced Calculus | Shlomo Sternberg | [48] | none | |||
Mathematical Ananlysis I | Elias Zakon | [49] | none | |||
Complex Variables | Robert B. Ash,W.P. Novinger | [50] | none | 2004 | ||
The Calculus Bible | G. S. Gill | [51] | ||||
Understanding Calculus | Faraz Hussain | html | [52] | |||
Elementary Calculus: An Approach Using Infinitesimals | H. Jerome Keisler | [53] | Prindle, Weber & Schmidt | 915 | 2000 | |
Yet Another Calculus Text | Dan Sloughter | [54] | 147 | 2007 | ||
The Calculus of Functions of Several Variables | Dan Sloughter | [55] | ||||
Difference Equations to Differential Equations | Dan Sloughter | [56] | ||||
Notes on Differential Equation | Bob Terrell | [57] | 99 | |||
Analysis of Functions of a Single Variable | Lawrence Baggett | [58] | 233 | |||
Real Analysis | Andrew M. Bruckner,Judith B. Bruckner,Brian S. Thomson | [59] | Prentice-Hall | 921 | 1997 | |
Calculus Without Limits | John C. Sparks | [60] | AuthorHouse | 344 | 2004 | |
Calculus | David Guichard | [61] | none | 424 | 2007 | |
Calculus I | Paul Dawkins | pdf, html | [62] | none | 574 | |
Calculus II | Paul Dawkins | pdf, html | [63] | none | 397 | |
Calculus III | Paul Dawkins | pdf, html | [64] | none | 286 | |
Vector Analysis | J. Willard Gibbs | pdf,djvu | [65] | Yale University Press | 436 | 1929 |
Elements of Linear and Real Analysis | Stephen Semmes | [66] | none | 160 | 2001 | |
Analysis WebNotes | John Lindsay Orr | html | [67] | none | 2008 | |
Complex Analysis | Harold V. McIntosh | html | [68] | none | 2001 | |
Applied Analysis | John Hunter, Bruno Nachtergaele | [69] | World Scientific Publishing Company | 434 | 2001 | |
Community Calculus | David Guichard, Neal Koblitz | [70] | 520 | 2014 |
Topology[]
Title | Author | Format | URL | Publisher | pages | year |
---|---|---|---|---|---|---|
Real Variables with Basic Metric Space Topology | Robert B. Ash | [71] | none | |||
Algebraic Topology | Allen Hatcher | [72] | Cambridge University Press | 550 | 2002 | |
Topology Without Tears | Sydney A. Morris | [73] | none | 373 | 2007 | |
Topology Lecture Notes | Thomas Ward | [74] | none | 87 | 2001 |
Probability & Statistics[]
Title | Author | Format | URL | Publisher | Pages | Year |
---|---|---|---|---|---|---|
Probability | Charles M. Grinstead, J. Laurie Snell | [75] | AMS | 520 | 2006 | |
Lectures on Statistics | Robert B. Ash | [76] | none | 2007 | ||
Probability Theory | S.R.S.Varadhan | [77] | none | 225 | 2000 | |
Probability and Stochastic Processes with Applications | Oliver Knill | [78] | none | 372 | 1994 | |
Stochastic Calculus | Alan Bain | [79] | none | 99 | ||
Statistics for the Social and Behavioral Sciences | David A. Kenny | [80] | none | 407 | 1987 | |
Basic Probability Theory | Robert B. Ash | [81] | Wiley | 336 | 1970 | |
Probability and Statistics. Explorations with MAPLE | Zaven A. Karian, Elliot A. Tanis | [82] | Prentice Hall | 285 | 2008 | |
The Elements of Statistical Learning | Trevor Hastie, Robert Tibshirani, Jerome Friedman | [83] | Springer | 764 | 2008 | |
Introduction into Statistical Thought | Michael Lavine | [84] | 475 | 2013 | ||
Statlect - The Digital Textbook | Marco Taboga | html | [85] | 2013 | ||
OpenIntro Statistics | David M. Diez, Cristopher D. Barr, Mine Cetinkaya-Rundel | [86] | 426 | 2012 | ||
Introduction to Probability, Statistics, and Random Processes | Hossein Pishro-Nik | html | [87] | 744 | 2014 | |
Generalized Linear Models | Germán Rodríguez | [88] | 2016 |
Discrete Math[]
Title | Author | Format | URL | Publisher | Pages | Year |
---|---|---|---|---|---|---|
Discrete Mathematics | William Chen | [89] | none | |||
Combinatorial Algorithms | Herbert S. Wilf,Albert Nijenhuis | [90] | Academic Press | 315 | 1978 | |
Graph Theory | Reinhard Diestel | [91] | Springer | 431 | 2005 | |
Matroid Decomposition | Klaus Truemper | ps | [92] | Academic Press | 1998 | |
Graph Theory with Applications | J. A. Bondy,U. S. R. Murty | ps | [93] | Elsevier | 270 | 1982 |
A Short Course in Discrete Mathematics | Edward A. Bender,S. Gill Williamson | [94] | Dover | 240 | 2005 | |
Mathematics for Algorithm and Systems Analysis | Edward A. Bender,S. Gill Williamson | [95] | Dover | 248 | 2005 | |
Applied Combinatorics | S. E. Payne | [96] | 216 | 2003 | ||
Discrete Mathematics | Jean Gallier | [97] | Springer | 2011 | ||
A Combinatorial Miscellany | Anders Björner, Richard P. Stanley | [98] | 167 | 2010 | ||
Analytic Combinatorics | Philippe Flajolet, Robert Sedgewick | [99] | Cambridge University Press | 826 | 2009 | |
Combinatorial Algorithms | Herbert S. Wilf, Albert Nijenhuis | [100] | Academic Press | 316 | 1978 | |
Notes on Coding Theory | J. I. Hall | [101] | 194 | 2010 | ||
Introduction to the Theory of Species of Structures | Francois Bergeron, Gilbert Labelle,Pierre Leroux | [102] | 137 | 2013 |
Number Theory[]
Title | Author | Format | URL | Publisher | Pages | Year |
---|---|---|---|---|---|---|
Elementary Number Theory | William Chen | [103] | none | |||
Distribution of Prime Numbers | William Chen | [104] | none | |||
An Introduction to the Theory of Numbers | Leo Moser | [105] | none | |||
A Computational Introduction into Number Theory and Algebra | Victor Shoup | [106] | none | |||
An Explicit Approach to Elementary Number Theory | William Stein | [107] | none | |||
Elementary Number Theory:Primes, Congruences, and Secrets | William Stein | [108] | Springer | 172 | 2008 | |
A Course in Algebraic Number Theory | Robert B. Ash | [109] | none | |||
A Computational Introduction to Number Theory and Algebra | Victor Shoup | [110] | Campbridge University Press | 2008 | ||
Algebraic Number Theory | J.S. Milne | [111] | none | 167 | 2011 | |
Algebraic & Number Theory | Andrew Baker | [112] | none | 68 | 2009 | |
A Concise Introdutction To The Theory Of Numbers | Alan Baker | [113] | Cambridge University Press | 91 | 1983 | |
A Course in Number Theory and Cryptography | Neal Koblitz | [114] | Cambridge University Press | 230 | 1987 | |
Advanced Number Theory | Harvey Cohn | [115] | Wiley | 276 | 1962 | |
An Introduction to Algebraic Number Theory | Takashi Ono | [116] | Plenum Press | 223 | 1987 |
Geometry[]
Title | Author | Format | URL | Publisher | Pages | Year |
---|---|---|---|---|---|---|
Euclidean Geometry Notes | Paul Yiu | [117] | none | 170 | ||
A Tour of Triangle Geometry | Paul Yiu | [118] | none | 52 | ||
Geometric Asymptotics | Victor Guillemin, Shlomo Sternberg | [119] | none | |||
Projective and Polar Spaces | Peter J. Cameron | [120] | QMW Maths Notes | 1991 | ||
Course of Differential Geometry | Ruslan Sharipov | [121] | Bakshir State University | 1996 | ||
Computational Geometry | Jianer Chen | [122] | none | 227 | 1996 | |
Computational Geometry | David M. Mount | [123] | none | 122 | 2002 | |
Fundamentals of Geometry | Oleg A. Belyaev | [124] | none | 256 | 2007 | |
The Foundations of Geometry | David Hilbert | [125] | Open Court Publishing | 101 | 1902 | |
Noncommutative Geometry | Alain Connes | [126] | Academic Press | 661 | 1994 | |
Finite Geometry | Chris Godsil | [127] | none | 81 | 2004 | |
Finite Geometry | Jürgen Bierbrauer | [128] | none | 137 | 2004 | |
Introduction to Finite Geometry | Simeon Ball,Zsuzsa Weiner | [129] | none | 65 | 2007 | |
Differential Geometry | Theodore Shifrin | [130] | none | 122 | 2008 | |
Geometry Unbound | Kiran S. Kedlaya | [131] | none | 142 | 2006 | |
Planar Circle Geometries | Erich Hartmann | [132] | none | 133 | ||
A. N. Whitehead's Geometric Algebra | Stephen Blake | [133] | none | 280 | 2005 | |
Incidence Geometry | G. Eric Moorhouse | [134] | none | 240 | 2007 | |
Classical Differential Geometry | Peter Petersen | [135] | none | 250 |
Numerical Math[]
Title | Author | Format | URL | Publisher | Pages | Year |
---|---|---|---|---|---|---|
Lectures on Numerical Analysis | Herbert S. Wilf,Dennis Deturck | [136] | none | 139 | 2002 | |
Numerical Recipes | [137] | none | 980 | 1992 | ||
Numerical Methods for Electrical and Computer Engineers | Douglas Wilhelm Harder | [138] | 2005 |
Logic[]
Title | Author | Format | URL | Publisher | Pages | Year |
---|---|---|---|---|---|---|
Introduction into Logic for Computer Science | S. Arun-Kumar | [139] | none | 97 | 2002 | |
Problem Course in Mathematical Logic | Stefan Bilaniuk | pdf, ps | [140] | none | 166 | |
Introduction to Logic | Michal Waliki | [141] | none | 181 | 2006 | |
Logic for Computer Science: Foundations of Automatic Theorem Proving | Jean Gallier | [142] | Wiley | 511 | 1986 | |
Mathematical Logic by Helmut Schwichtenberg | Helmut Schwichtenberg | [143] | none | 190 | 2010 |
General Math/Miscellaneous Topics[]
Title | Author | Format | URL | Publisher | Pages | Year |
---|---|---|---|---|---|---|
Elementary Mathematics | William Chen, XT Duong | [144] | none | |||
The theory of functions of a real variable | Shlomo Sternberg | [145] | none | |||
Basic Concepts of Mathematics | Elias Zakon | [146] | none | |||
Generatingfunctionology | Herbert S. Wilf | [147] | A K Peters | 231 | 1994 | |
A=B | Herbert S. Wilf,Marko Petkovsek,Doron Zeilberger | [148] | A k Peters | 217 | 1996 | |
Algorithms and Complexity | Herbert S. Wilf | [149] | A K Peters | 139 | 1994 | |
Mathematics for the Physical Sciences | Herbert S. Wilf | [150] | Dover | 296 | 1978 | |
Handbook of Mathematical Functions | M. Abramowitz,I. A. Stegun | html | [151] | none | 1050 | 1972 |
Vector Bundles & K-Theory | Allen Hatcher | [152] | none | 110 | ||
The Elements | Euclid | html | [153] | |||
Sets, Relations, Functions | Ivo Düntsch,Günther Gediga | [154] | Methodos Publishers | 55 | ||
Predicative Arithmetic | Edward Nelson | [155] | Princeton University Press | 201 | 1986 | |
Linear Partial Differential Equations and Fourier Theory | Marcus Pivato | [156] | none | 432 | ||
Voting, Arbitration, and Fair Division: The Mathematics of Social Choice | Marcus Pivato | [157] | none | 227 | ||
Toposes, Triples and Theories | Michael Barr,Charles Wells | [158] | Springer | 303 | ||
Convex Optimization | Stephen Boyd,Lieven Vandenberghe | [159] | Cambridge Unversity Press | 730 | 2004 | |
Computational Optimization | Jianer Chen | [160] | none | 388 | 2003 | |
Foundations of Cryptography | Oded Goldreich | ps | [161] | none | ||
Coding and Cryptography | T. W. Körner | ps | [162] | none | 65 | 1998 |
Cookbook of Mathematics | Viatcheslav Vinogradov | [163] | none | 116 | 1999 | |
Game Theory | Thomas S. Ferguson | [164] | none | |||
Mathematics for Economic Theory | Julio Dávila | [165] | none | |||
Handbook of Applied Cryptography | Alfred J. Menezes,Paul C. van Oorschot,Scott A. Vanstone | [166] | CRC Press | 780 | 2001 | |
Olympiad Inequalities | Thomas J. Mildorf | [167] | none | 34 | 2005 | |
Recreational Mathematics | Paul Yiu | [168] | none | 360 | 2003 | |
Mathematical Control Theory | Eduardo D. Sontag | [169] | Springer | 544 | 1998 | |
Trigonometric Delights | Eli Maor | [170] | Princeton University Press | 236 | 1998 | |
Basics of Algebra and Analysis for Computer Science | Jean Gallier | [171] | none | 254 | 2005 | |
Information Theory, Inference, Learning Algorithms | David MacKay | [172] | Cambridge University Press | 640 | 2003 | |
Spherical Trigonometry: For the Use of Colleges and Schools | Isaac Todhunter | [173] | Macmillan & Co. 1863 | 127 | 1863 | |
College Algebra | Paul Dawkins | [174] | none | 352 | ||
Differential Equations | Paul Dawkins | [175] | none | 504 | ||
Amusements in Mathematics | Henry Ernest Dudeney | txt,html | [176] | 1917 | ||
Lectures on Convex Sets | Niels Lauritzen | [177] | none | 93 | 2009 | |
The Classification Theorem for Compact Surfaces | Jean Gallier, Dianna Xu | [178] | none | 2009 | ||
Game Theory | Thomas S. Ferguson | [179] | none | 2000 | ||
Functional Analysis Lecture Notes | Thomas Ward | [180] | none | 73 | ||
Entropy of Compact Group Automorphisms | Thomas Ward | [181] | none | 83 | ||
Differential Geometry: A First Course in Curves and Surfaces | Theodore Shifrin | [182] | none | 127 | 2011 | |
Convex Optimization | Stephen Boyd, Lieven Vandenberghe | [183] | Cambridge University Press | 730 | 2004 | |
Book of Proof | Richard Hammack | [184] | 301 | 2013 | ||
Mathematics for Computer Science | Eric Lehman, F. Thompson Leighton, Albert R. Meyer | [185] | 800 | 2012 |
Highschool & Introductionary College[]
Title | Author | Format | URL | Publisher | pages | year |
---|---|---|---|---|---|---|
Understanding Algebra | James W. Brennan | html | [186] | none | 126 | |
College Algebra | Carl Stitz, Jeff Zeager | [187] | none | 716 | 2010 | |
Trigonometry - With Tau as Circle Constant | Phil A. Smith, Michael Corra | [188] | none | 180 | 2015 | |
Beginning and Intermediate Algebra | Tyler Wallace | [189] | none | 490 | 2010 |
Video Lectures[]
- Mathematics for Computer Science (MIT OpenCourseware)
Online Tutorials & Web Courses & Interactive Tutorials[]
Articles & Papers & Talks & Single Lectures[]
Online References and Encyclopedias[]
- Wikipedia - Math Portal
- Mathworld
- Springer Encyclopedia of Mathematics
- PlanetMath
- MacTutor - History of Mathematics
- Online Encyclopedia of Integer Sequences
- ETC - Encyclopedia of Triangle Centers
- Stanford Encyclopedia of Philosophy
- Proof Wiki
Online Journals or Magazines[]
Web Interfaces to Math Software[]
Math Software[]
Fori and Chats[]
Live Chats[]
Newsgroups (Usenet)[]
- sci.math
- sci.math.research
- alt.math.undergrad
- alt.math.recreational
- alt.math.symbolic
Web Fori[]
- Math Forum at Drexel
- Math Forum - Art of Problem solving
- Math Overflow
- math.stackexchange.com
- nrich
Blogs[]
- n-Category Cafe (John Baez)
- Terence Tao's Blog (Fields Medallist)
- Timothy Gowers' Blog (Fields Medallist)
- Wild About Math
- Mostly Mathematics
Miscellaneous Resources[]
Title | Author | Format | URL | Publisher |
---|---|---|---|---|
Dan's Math Cast | Daniel Bach | Podcast | [190] | none |
Other Lists of Free Math Books and Free Math Resources[]
- Mathematics Bookshelf at Project Gutenberg
- George Cain's list of free math books
- AMS publications which are available for download
- AMS' list of free math books
- Cornell University Library Historical Monographs
- Wikibooks with math topics
- Books at PlanetMath
- Listing of free math books at pspxworld
- Math Books at Science Books Online
- Mathematics at the E-Books Directory
- Mathematics at freebookcentre.net
- LibreTexts Mathematics