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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 pdf [1] none
Linear Algebra Jim Hefferon pdf [2] none
A first Course in Linear Algebra Robert Beezer et al pdf [3] none
Elementary Linear Algebra Keith Matthews pdf [4] none 1991
Lectures on Matrices J. H. M. Wedderburn pdf [5] none 205 1934
Elements of Abstract and Linear Algebra Edwin H. Connell pdf [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 pdf [8] Plenum Press 314+246 1989
The Matrix Cookbook Kaare Brandt Petersen,Michael Syskind Pedersen pdf [9] none 72 2012
Course of Linear Algebra and Multidimensional Geometry Ruslan Sharipov pdf [10] Bakshir State University 143 1996
Linear Algebra Done Wrong Sergei Treil pdf [11] none 222 2004
Linear Algebra Paul Dawkins pdf [12] none 324
Linear Algebra, Theory And Applications Kenneth Kuttler pdf [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 pdf [15] none 2002
A Course in Commutative Algebra Robert B. Ash pdf [16] none 2006
Group Theory Predrag Cvitanović pdf [17] Princeton University Press 285 2008
Classical Groups Peter J. Cameron pdf [18] 96
Geometry and Group Theory pdf [19] 181
Algebra - Abstract and Concrete Frederick M. Goodman pdf [20] 585 2005
Abstract and Concrete Categories: The Joy of Cats Jiri Adamek, Horst Herrlich,George Strecker pdf [21] Wiley 509 1990
Abelian Categories Peter Freyd pdf [22] Harper & Row 192 1964
Basic Concepts of Enriched Category Theory G.M. Kelly pdf [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 pdf [25] 194 1992
Group Theory J.S. Milne pdf [26] none 135 2011
Fields and Galois Theory J.S. Milne pdf [27] none 126 2011
Algebraic Geometry J.S. Milne pdf [28] none 258 2011
Class Field Theory J.S. Milne pdf [29] none 287 2011
Abstract Algebra Paul Garret pdf [30] none 412 2007
Intro to Abstract Algebra Paul Garret pdf [31] none 200 1998
Groups and Symmetry Andrew Baker pdf [32] none 68 2005
Galois Theory Miles Reid pdf [33] none 89 2004
Abstract Algebra David R. Wilkins pdf [34] none 2006
Higher Algebra Jacob Lurie pdf [35] none 1078 2012
Higher Topos Theory Jacob Lurie pdf [36] Princeton University Press 960 2011
Category Theory Steve Awodey pdf [37] Oxford University Press 277 2006
An Introduction to Galois Theory Andrew Baker pdf [38] 106 2013
Abstract Algebra: Theory and Applications Thomas W. Judson pdf [39] 442 2013

Calculus/Analysis

Title Author Format URL Publisher Pages Year
First Year Calculus William Chen pdf [40] none
Fundamentals of Analysis William Chen pdf [41] none
Introduction to Lebesgue Integration William Chen pdf [42] none
Multivariable and Vector Analysis William Chen pdf [43] none
Introduction to Complex Analysis William Chen pdf [44] none
Calculus Gilbert Strang pdf [45] Wellesley-Cambridge Press
Complex Analysis George Cain pdf [46] none
Multivariable Calculus George Cain, James Herod pdf [47] none
Advanced Calculus Shlomo Sternberg pdf [48] none
Mathematical Ananlysis I Elias Zakon pdf [49] none
Complex Variables Robert B. Ash,W.P. Novinger pdf [50] none 2004
The Calculus Bible G. S. Gill pdf [51]
Understanding Calculus Faraz Hussain html [52]
Elementary Calculus: An Approach Using Infinitesimals H. Jerome Keisler pdf [53] Prindle, Weber & Schmidt 915 2000
Yet Another Calculus Text Dan Sloughter pdf [54] 147 2007
The Calculus of Functions of Several Variables Dan Sloughter pdf [55]
Difference Equations to Differential Equations Dan Sloughter pdf [56]
Notes on Differential Equation Bob Terrell pdf [57] 99
Analysis of Functions of a Single Variable Lawrence Baggett pdf [58] 233
Real Analysis Andrew M. Bruckner,Judith B. Bruckner,Brian S. Thomson pdf [59] Prentice-Hall 921 1997
Calculus Without Limits John C. Sparks pdf [60] AuthorHouse 344 2004
Calculus David Guichard pdf [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 pdf [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 pdf [69] World Scientific Publishing Company 434 2001
Community Calculus David Guichard, Neal Koblitz pdf [70] 520 2014

Topology

Title Author Format URL Publisher pages year
Real Variables with Basic Metric Space Topology Robert B. Ash pdf [71] none
Algebraic Topology Allen Hatcher pdf [72] Cambridge University Press 550 2002
Topology Without Tears Sydney A. Morris pdf [73] none 373 2007
Topology Lecture Notes Thomas Ward pdf [74] none 87 2001

Probability & Statistics

Title Author Format URL Publisher Pages Year
Probability Charles M. Grinstead, J. Laurie Snell pdf [75] AMS 520 2006
Lectures on Statistics Robert B. Ash pdf [76] none 2007
Probability Theory S.R.S.Varadhan pdf [77] none 225 2000
Probability and Stochastic Processes with Applications Oliver Knill pdf [78] none 372 1994
Stochastic Calculus Alan Bain pdf [79] none 99
Statistics for the Social and Behavioral Sciences David A. Kenny pdf [80] none 407 1987
Basic Probability Theory Robert B. Ash pdf [81] Wiley 336 1970
Probability and Statistics. Explorations with MAPLE Zaven A. Karian, Elliot A. Tanis pdf [82] Prentice Hall 285 2008
The Elements of Statistical Learning Trevor Hastie, Robert Tibshirani, Jerome Friedman pdf [83] Springer 764 2008
Introduction into Statistical Thought Michael Lavine pdf [84] 475 2013
Statlect - The Digital Textbook Marco Taboga html [85] 2013
OpenIntro Statistics David M. Diez, Cristopher D. Barr, Mine Cetinkaya-Rundel pdf [86] 426 2012
Introduction to Probability, Statistics, and Random Processes Hossein Pishro-Nik html [87] 744 2014

Discrete Math

Title Author Format URL Publisher Pages Year
Discrete Mathematics William Chen pdf [88] none
Combinatorial Algorithms Herbert S. Wilf,Albert Nijenhuis pdf [89] Academic Press 315 1978
Graph Theory Reinhard Diestel pdf [90] Springer 431 2005
Matroid Decomposition Klaus Truemper ps [91] Academic Press 1998
Graph Theory with Applications J. A. Bondy,U. S. R. Murty ps [92] Elsevier 270 1982
A Short Course in Discrete Mathematics Edward A. Bender,S. Gill Williamson pdf [93] Dover 240 2005
Mathematics for Algorithm and Systems Analysis Edward A. Bender,S. Gill Williamson pdf [94] Dover 248 2005
Applied Combinatorics S. E. Payne pdf [95] 216 2003
Discrete Mathematics Jean Gallier pdf [96] Springer 2011
A Combinatorial Miscellany Anders Björner, Richard P. Stanley pdf [97] 167 2010
Analytic Combinatorics Philippe Flajolet, Robert Sedgewick pdf [98] Cambridge University Press 826 2009
Combinatorial Algorithms Herbert S. Wilf, Albert Nijenhuis pdf [99] Academic Press 316 1978
Notes on Coding Theory J. I. Hall pdf [100] 194 2010

Number Theory

Title Author Format URL Publisher Pages Year
Elementary Number Theory William Chen pdf [101] none
Distribution of Prime Numbers William Chen pdf [102] none
An Introduction to the Theory of Numbers Leo Moser pdf [103] none
A Computational Introduction into Number Theory and Algebra Victor Shoup pdf [104] none
An Explicit Approach to Elementary Number Theory William Stein pdf [105] none
A Course in Algebraic Number Theory Robert B. Ash pdf [106] none
A Computational Introduction to Number Theory and Algebra Victor Shoup pdf [107] Campbridge University Press 2008
Algebraic Number Theory J.S. Milne pdf [108] none 167 2011
Algebraic & Number Theory Andrew Baker pdf [109] none 68 2009
A Concise Introdutction To The Theory Of Numbers Alan Baker pdf [110] Cambridge University Press 91 1983
A Course in Number Theory and Cryptography Neal Koblitz pdf [111] Cambridge University Press 230 1987
Advanced Number Theory Harvey Cohn pdf [112] Wiley 276 1962
An Introduction to Algebraic Number Theory Takashi Ono pdf [113] Plenum Press 223 1987

Geometry

Title Author Format URL Publisher Pages Year
Euclidean Geometry Notes Paul Yiu pdf [114] none 170
A Tour of Triangle Geometry Paul Yiu pdf [115] none 52
Geometric Asymptotics Victor Guillemin, Shlomo Sternberg pdf [116] none
Projective and Polar Spaces Peter J. Cameron pdf [117] QMW Maths Notes 1991
Course of Differential Geometry Ruslan Sharipov pdf [118] Bakshir State University 1996
Computational Geometry Jianer Chen pdf [119] none 227 1996
Computational Geometry David M. Mount pdf [120] none 122 2002
Fundamentals of Geometry Oleg A. Belyaev pdf [121] none 256 2007
The Foundations of Geometry David Hilbert pdf [122] Open Court Publishing 101 1902
Noncommutative Geometry Alain Connes pdf [123] Academic Press 661 1994
Finite Geometry Chris Godsil pdf [124] none 81 2004
Finite Geometry Jürgen Bierbrauer pdf [125] none 137 2004
Introduction to Finite Geometry Simeon Ball,Zsuzsa Weiner pdf [126] none 65 2007
Differential Geometry Theodore Shifrin pdf [127] none 122 2008
Geometry Unbound Kiran S. Kedlaya pdf [128] none 142 2006
Planar Circle Geometries Erich Hartmann pdf [129] none 133
A. N. Whitehead's Geometric Algebra Stephen Blake pdf [130] none 280 2005
Incidence Geometry G. Eric Moorhouse pdf [131] none 240 2007

Numerical Math

Title Author Format URL Publisher Pages Year
Lectures on Numerical Analysis Herbert S. Wilf,Dennis Deturck pdf [132] none 139 2002
Numerical Recipes pdf [133] none 980 1992
Numerical Methods for Electrical and Computer Engineers Douglas Wilhelm Harder pdf [134] 2005

Logic

Title Author Format URL Publisher Pages Year
Introduction into Logic for Computer Science S. Arun-Kumar pdf [135] none 97 2002
Problem Course in Mathematical Logic Stefan Bilaniuk pdf, ps [136] none 166
Introduction to Logic Michal Waliki pdf [137] none 181 2006
Logic for Computer Science: Foundations of Automatic Theorem Proving Jean Gallier pdf [138] Wiley 511 1986
Mathematical Logic by Helmut Schwichtenberg Helmut Schwichtenberg pdf [139] none 190 2010

General Math/Miscellaneous Topics

Title Author Format URL Publisher Pages Year
Elementary Mathematics William Chen, XT Duong pdf [140] none
The theory of functions of a real variable Shlomo Sternberg pdf [141] none
Basic Concepts of Mathematics Elias Zakon pdf [142] none
Generatingfunctionology Herbert S. Wilf pdf [143] A K Peters 231 1994
A=B Herbert S. Wilf,Marko Petkovsek,Doron Zeilberger pdf [144] A k Peters 217 1996
Algorithms and Complexity Herbert S. Wilf pdf [145] A K Peters 139 1994
Mathematics for the Physical Sciences Herbert S. Wilf pdf [146] Dover 296 1978
Handbook of Mathematical Functions M. Abramowitz,I. A. Stegun html [147] none 1050 1972
Vector Bundles & K-Theory Allen Hatcher pdf [148] none 110
The Elements Euclid html [149]
Sets, Relations, Functions Ivo Düntsch,Günther Gediga pdf [150] Methodos Publishers 55
Predicative Arithmetic Edward Nelson pdf [151] Princeton University Press 201 1986
Linear Partial Differential Equations and Fourier Theory Marcus Pivato pdf [152] none 432
Voting, Arbitration, and Fair Division: The Mathematics of Social Choice Marcus Pivato pdf [153] none 227
Toposes, Triples and Theories Michael Barr,Charles Wells pdf [154] Springer 303
Convex Optimization Stephen Boyd,Lieven Vandenberghe pdf [155] Cambridge Unversity Press 730 2004
Computational Optimization Jianer Chen pdf [156] none 388 2003
Foundations of Cryptography Oded Goldreich ps [157] none
Coding and Cryptography T. W. Körner ps [158] none 65 1998
Cookbook of Mathematics Viatcheslav Vinogradov pdf [159] none 116 1999
Game Theory Thomas S. Ferguson pdf [160] none
Mathematics for Economic Theory Julio Dávila pdf [161] none
Handbook of Applied Cryptography Alfred J. Menezes,Paul C. van Oorschot,Scott A. Vanstone pdf [162] CRC Press 780 2001
Olympiad Inequalities Thomas J. Mildorf pdf [163] none 34 2005
Recreational Mathematics Paul Yiu pdf [164] none 360 2003
Mathematical Control Theory Eduardo D. Sontag pdf [165] Springer 544 1998
Trigonometric Delights Eli Maor pdf [166] Princeton University Press 236 1998
Basics of Algebra and Analysis for Computer Science Jean Gallier pdf [167] none 254 2005
Information Theory, Inference, Learning Algorithms David MacKay pdf [168] Cambridge University Press 640 2003
Spherical Trigonometry: For the Use of Colleges and Schools Isaac Todhunter pdf [169] Macmillan & Co. 1863 127 1863
College Algebra Paul Dawkins pdf [170] none 352
Differential Equations Paul Dawkins pdf [171] none 504
Amusements in Mathematics Henry Ernest Dudeney txt,html [172] 1917
Lectures on Convex Sets Niels Lauritzen pdf [173] none 93 2009
The Classification Theorem for Compact Surfaces Jean Gallier, Dianna Xu pdf [174] none 2009
Game Theory Thomas S. Ferguson pdf [175] none 2000
Functional Analysis Lecture Notes Thomas Ward pdf [176] none 73
Entropy of Compact Group Automorphisms Thomas Ward pdf [177] none 83
Differential Geometry: A First Course in Curves and Surfaces Theodore Shifrin pdf [178] none 127 2011
Convex Optimization Stephen Boyd, Lieven Vandenberghe pdf [179] Cambridge University Press 730 2004
Book of Proof Richard Hammack pdf [180] 301 2013
Mathematics for Computer Science Eric Lehman, F. Thompson Leighton, Albert R. Meyer pdf [181] 800 2012

Highschool & Introductionary College

Title Author Format URL Publisher pages year
Understanding Algebra James W. Brennan html [182] none 126
College Algebra Carl Stitz, Jeff Zeager pdf [183] none 716 2010
Trigonometry - With Tau as Circle Constant Phil A. Smith, Michael Corra pdf [184] none 180 2015

Video Lectures

Online Tutorials & Web Courses & Interactive Tutorials

Articles & Papers & Talks & Single Lectures

Online References and Encyclopedias

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

Blogs

Miscellaneous Resources

Title Author Format URL Publisher
Dan's Math Cast Daniel Bach Podcast [185] none

Other Lists of Free Math Books and Free Math Resources

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