Free Mathematics Books
(graph above: absolute value of the gamma function in the complex plane, source: Wikimedia Commons)

Here is an unordered list of online mathematics books, textbooks, monographs, lecture notes, and other mathematics related documents freely available on the web. I tried to select only the works in book formats, "real" books that are mainly in PDF format, so many well-known html-based mathematics web pages and online tutorials are left out. Click here if you prefer a categorized directory of mathematics books. The list is updated almost on a daily basis, so, if you want to bookmark this page, use the button in the upper right corner.

      

001. Hyperbolic Manifolds, Discrete Groups and Ergodic Theory
       Curtis T. McMullen | Harvard University
       Published in 2011, 118 pages

002. Introduction to Probability, Statistics, and Random Processes
       Hossein Pishro-Nik | Kappa Research, LLC
       Published in 2014, 744 pages

003. Aesthetics for the Working Mathematician
       Jonathan M. Borwein | DocServer
       Published in 2001, 22 pages

004. A Primer on Mapping Class Groups
       Benson Farb, Dan Margalit | Princeton University Press
       Published in 2011, 509 pages

005. The CRing Project: a collaborative open source textbook on commutative algebra
       Shishir Agrawal, et al. | CRing Project
       Published in 2011, 493 pages

006. Partial Differential Equations for Finance
       Robert V. Kohn | New York University
       Published in 2003

007. Group Theory
       Ferdi Aryasetiawan | University of Lund
       Published in 1997, 140 pages

008. The Air Force Brain Booster Book
       John C. Sparks | Air Force Publication
       Published in 2006, 58 pages

009. Introduction To Finite Mathematics
       J. G. Kemeny, J. L. Snell, G. L. Thompson | Prentice-Hall
       Published in 1974

010. Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations
       Horst R. Beyer | arXiv
       Published in 2011, 275 pages

011. scl
       Danny Calegari | Mathematical Society of Japan
       Published in 2009, 218 pages

012. Plane and Spherical Trigonometry in three parts
       Henry Bedingfield Goodwin | Longmans, Green, and Co.
       Published in 1907, 296 pages

013. Elementary Mathematics
       W W L Chen, X T Duong | Macquarie University
       Published in 1999

014. Differential Geometry: A First Course in Curves and Surfaces
       Theodore Shifrin | University of Georgia
       Published in 2015, 127 pages

015. Lectures on Differential Geometry
       Wulf Rossmann | University of Ottawa
       Published in 2003, 221 pages

016. Encyclopedia of Dynamical Systems
       D. Anosov, at al. | Scholarpedia
       Published in 2009

017. Algebraic and Geometric Surgery
       Andrew Ranicki | Oxford University Press
       Published in 2002, 380 pages

018. Introduction to Mathematical Logic
       Vilnis Detlovs, Karlis Podnieks | University of Latvia
       Published in 2014, 240 pages

019. Complex Multiplication
       J. S. Milne |
       Published in 2006, 113 pages

020. The Story of Euclid
       W. B. Frankland | George Newnes
       Published in 1902, 183 pages

021. Contact Geometry
       Hansjoerg Geiges | arXiv
       Published in 2004, 86 pages

022. Computations in Algebraic Geometry with Macaulay 2
       D. Eisenbud, D. Grayson, M. Stillman, B. Sturmfels | Springer
       Published in 2001, 343 pages

023. Problems with and Without ... Problems!
       Florentin Smarandache | viXra
       Published in 2011, 136 pages

024. A Short Introduction to Classical and Quantum Integrable Systems
       O. Babelon |
       Published in 2007, 145 pages

025. Lectures on the History of Mathematics
       G. Donald Allen | Texas A&M University
       Published in 2003

026. Course of Differential Geometry
       Ruslan Sharipov | Samizdat Press
       Published in 2004, 132 pages

027. Multivariate Statistics: Concepts, Models, and Applications
       David W. Stockburger | Missouri State University
       Published in 2001

028. Calculus
       H.W. March, H.C. Wolff | McGraw-Hill
       Published in 1917, 388 pages

029. Combinatorial Algorithms
       Albert Nijenhuis, Herbert S. Wilf | Academic Press Inc
       Published in 1978, 316 pages

030. Practical Trigonometry
       H. C. Playne | E. Arnold
       Published in 1906, 188 pages

031. Singularities of Transition Processes in Dynamical Systems
       Alexander N. Gorban | American Mathematical Society
       Published in 2004, 55 pages

032. Introduction to Statistical Thinking
       Benjamin Yakir | The Hebrew University of Jerusalem
       Published in 2011, 324 pages

033. Introduction to Vectors
       Christopher C. Tisdell | Bookboon
       Published in 2014, 68 pages

034. Origami and Geometric Constructions
       Robert J. Lang |
       Published in 2003, 55 pages

035. Lectures on Sieve Methods and Prime Number Theory
       Y. Motohashi | Tata Institute of Fundamental Research
       Published in 1983, 181 pages

036. Lectures on Topics In Finite Element Solution of Elliptic Problems
       Bertrand Mercier | Tata Institute of Fundamental Research
       Published in 1979, 177 pages

037. Flavors of Geometry
       Silvio Levy | Cambridge University Press
       Published in 1997, 208 pages

038. Surgery on Compact Manifolds
       C.T.C. Wall, A. A. Ranicki | American Mathematical Society
       Published in 1999, 314 pages

039. Handbook of Graph Drawing and Visualization
       Roberto Tamassia (ed.) | CRC Press
       Published in 2013, 862 pages

040. Proof Theory and Philosophy
       Greg Restall | consequently.org
       Published in 2006, 168 pages

041. Topology of Stratified Spaces
       Greg Friedman, et al. | Cambridge University Press
       Published in 2011, 477 pages

042. The Encyclopedia of Gambling
       Peter Arnold | Chartwell Books
       Published in 1977, 256 pages

043. Category Theory and Functional Programming
       Mikael Vejdemo-Johansson | University of St. Andrews
       Published in 2012, 99 pages

044. Business Mathematics: A Textbook
       Edward I. Edgerton, Wallace E. Bartholomew | The Ronald Press Co.
       Published in 1921, 331 pages

045. Homogeneous Spaces and Equivariant Embeddings
       Dmitri A. Timashev | arXiv
       Published in 2006, 250 pages

046. An Introduction to Nonassociative Algebras
       Richard D. Schafer | Project Gutenberg
       Published in 2008, 81 pages

047. Basic Math Quick Reference Handbook
       Peter J. Mitas | Quick Reference Handbooks
       Published in 2009, 83 pages

048. Spectral Theory of Partial Differential Equations
       Richard S. Laugesen | arXiv
       Published in 2012, 120 pages

049. Functional Analysis Lecture Notes
       T. B. Ward | University of East Anglia
       Published in 2003, 73 pages

050. Topics in topology: The signature theorem and some of its applications
       Liviu I. Nicolaescu | University of Notre Dame
       Published in 2008, 159 pages

051. Introduction to Projective Varieties
       Enrique Arrondo | Universidad Complutense de Madrid
       Published in 2007, 140 pages

052. Exotic Homology Manifolds
       Frank Quinn, Andrew Ranicki |
       Published in 2006, 158 pages

053. CK-12 Trigonometry
       Mara Landers, Brenda Meery | CK-12 Foundation
       Published in 2009, 629 pages

054. An Elementary Treatise on Conic Sections
       Charles Smith | The Macmillan Company
       Published in 1905, 378 pages

055. Notes on Classical Groups
       Peter J. Cameron | Queen Mary and Westfield College
       Published in 2000, 96 pages

056. Understanding Calculus
       Faraz Hussain |
       Published in 2008

057. Fundamentals of Analysis
       W W L Chen | Macquarie University
       Published in 2008

058. Universal Algebra for Computer Science
       Eric G. Wagner | Wagner Mathematics
       Published in 2006

059. Math Alive
       Ingrid Daubechies, Shannon Hughes | Princeton University
       Published in 2008

060. Graph Theory With Applications
       J.A. Bondy and U.S.R. Murty | Elsevier Science Ltd
       Published in 1976, 270 pages

061. Analysis of Puzzles
       Umesh Nair |
       Published in 2006, 88 pages

062. Ten Chapters of the Algebraical Art
       Peter J. Cameron | Queen Mary, University of London
       Published in 2007, 108 pages

063. Thin Groups and Superstrong Approximation
       Emmanuel Breuillard, Hee Oh (eds.) | Cambridge University Press
       Published in 2014, 362 pages

064. The Mathematics of Investment
       William L.Hart | D.C Heath and Company
       Published in 1924, 321 pages

065. Tea Time Numerical Analysis
       Leon Q. Brin | Southern Connecticut State University
       Published in 2014, 278 pages

066. The Calculus Integral
       Brian S. Thomson | ClassicalRealAnalysis.com
       Published in 2010, 303 pages

067. Calculus Refresher
       Paul Garrett |
       Published in 2008, 78 pages

068. Analysis Tools with Applications
       Bruce K. Driver | Springer
       Published in 2003, 790 pages

069. Handbook of Modal Logic
       Patrick Blackburn, Johan van Benthem, Frank Wolter |
       Published in 2006, 1260 pages

070. Mathematical Formula Handbook
       Wu-ting Tsai | National Taiwan University
       Published in 2012, 28 pages

071. Tabletop: Analog Game Design
       Greg Costikyan, Drew Davidson |
       Published in 2011, 206 pages

072. Notes on the course Algebraic Topology
       Boris Botvinnik | University of Oregon
       Published in 2010, 175 pages

073. Descriptive Set Theory
       Yiannis N. Moschovakis | American Mathematical Society
       Published in 2009, 516 pages

074. Lectures in Basic Computational Numerical Analysis
       James M. McDonough | University of Kentucky
       Published in 2001, 166 pages

075. Math Made a Bit Easier: Basic Math Explained in Plain English
       Larry Zafran | CreateSpace
       Published in 2009, 280 pages

076. Lectures on the Theory of Algebraic Functions of One Variable
       M. Deuring | Tata Institute of Fundamental Research
       Published in 1959, 154 pages

077. A Course of Pure Mathematics
       G.H. Hardy | Cambridge University Press
       Published in 1921, 476 pages

078. Introductory Map Theory
       Yanpei Liu | Kapa & Omega
       Published in 2010, 503 pages

079. Mathematics, Basic Math and Algebra
        | Naval Education and Training
       Published in 2003, 296 pages

080. Elementary Algebra and Calculus
       Larissa Fradkin | Bookboon
       Published in 2013, 261 pages

081. Orders of Infinity
       G. H. Hardy | Cambridge University Press
       Published in 1910, 101 pages

082. Using R for Introductory Statistics
       John Verzani | Chapman & Hall/CRC
       Published in 2004, 114 pages

083. An informal introduction to the ideas and concepts of noncommutative geometry
       Thierry Masson | arXiv
       Published in 2006, 56 pages

084. A Course of Elementary Mathematics
       John Radford Young | Wm. H. Allen
       Published in 1862, 658 pages

085. High-dimensional Knot Theory
       Andrew Ranicki | Springer
       Published in 1998, 693 pages

086. Circulants
       Alun Wyn-jones |
       Published in 2008, 149 pages

087. Brief Introduction to Tropical Geometry
       E. Brugallé, I. Itenberg, G. Mikhalkin, K. Shaw | arXiv
       Published in 2015, 75 pages

088. Quick Tour of the Topology of R
       StevenHurder, DaveMarker | University of Illinois at Chicago
       Published in 2005, 48 pages

089. The Calculus
       William V. Smith | Brigham Young University
       Published in 2001

090. Mathematical Methods of Engineering Analysis
       Erhan Cinlar, Robert J. Vanderbei |
       Published in 2000, 119 pages

091. Lectures On Some Fixed Point Theorems Of Functional Analysis
       F.F. Bonsall | Tata Institute Of Fundamental Research
       Published in 1962, 147 pages

092. The Foundations of Geometry
       David Hilbert | Project Gutenberg
       Published in 1902, 101 pages

093. Combinatorics and Algebra of Tensor Calculus
       Sen Hu, Xuexing Lu, Yu Ye | arXiv
       Published in 2015, 88 pages

094. Lower K- and L-theory
       Andrew Ranicki | Cambridge University Press
       Published in 2001, 177 pages

095. Stochastic Calculus
       Alan Bain |
       Published in 2008, 99 pages

096. Classical Algebraic Geometry: A Modern View
       Igor V. Dolgachev | Cambridge University Press
       Published in 2012, 721 pages

097. Basic Mathematics
       Thomas Ward | UEA
       Published in 2003, 23 pages

098. Algorithmic Mathematics
       Leonard Soicher, Franco Vivaldi |
       Published in 2004, 94 pages

099. Metric and Topological Spaces
       T. W. Körner | University of Cambridge
       Published in 2014, 109 pages

100. An introduction to Noncommutative Projective Geometry
       D. Rogalski | arXiv
       Published in 2014, 55 pages

101. Advanced Stochastic Processes
       Jan A. Van Casteren | Bookboon
       Published in 2013, 404 pages

102. Engineering Analysis
        | Wikibooks
       Published in 2012, 193 pages

103. Linear Algebra for Informatics
       José Figueroa-O'Farrill | The University of Edinburgh
       Published in 2005

104. Lectures on Stochastic Processes
       K. Ito | Tata Institute of Fundamental Research
       Published in 1960, 207 pages

105. Linearization via the Lie Derivative
       Carmen Chicone, Richard Swanson | American Mathematical Society
       Published in 2000, 64 pages

106. The Chaos Hypertextbook
       Glenn Elert |
       Published in 2007

107. General Topology
       Jesper M. Moller |
       Published in 2010, 75 pages

108. Lectures on Stochastic Flows and Applications
       H. Kunita | Tata Institute Of Fundamental Research
       Published in 1986, 130 pages

109. Almost None of the Theory of Stochastic Processes
       Cosma Rohilla Shalizi | Carnegie Mellon University
       Published in 2010, 347 pages

110. Trends in Commutative Algebra
       Luchezar L. Avramov, at al. | Cambridge University Press
       Published in 2005, 264 pages

111. Practical Foundations of Mathematics
       Paul Taylor | Cambridge University Press
       Published in 1999, 588 pages

112. Statistical Tools for Economists
       Daniel McFadden | University of California, Berkeley
       Published in 2001

113. A Second Course in Mathematics Concepts for Elementary Teachers
       Marcel B. Finan | Arkansas Tech University
       Published in 2006, 468 pages

114. Elementary Set Theory with a Universal Set
       Randall Holmes |
       Published in 2005, 240 pages

115. n-Linear Algebra of Type I and Its Applications
       W. B. V. Kandasamy, F. Smarandache | InfoLearnQuest
       Published in 2008, 120 pages

116. Probability Theory: The Logic of Science
       E. T. Jaynes | Cambridge University Press
       Published in 2002, 758 pages

117. Vector Calculus, with Applications to Physics
       James Byrnie Shaw | D. Van Nostrand company
       Published in 1922, 338 pages

118. Lectures on Discrete and Polyhedral Geometry
       Igor Pak | UCLA
       Published in 2008, 428 pages

119. Natural Product Xn on matrices
       W. B. Vasantha Kandasamy, Florentin Smarandache | arXiv
       Published in 2012, 342 pages

120. Elementary Differential Equations
       William F. Trench | Brooks Cole
       Published in 2001, 663 pages

121. Honors Calculus
       Frank Jones | Rice University
       Published in 2004

122. Multivariable Calculus
       Jerry Shurman | Reed College
       Published in 2010, 487 pages

123. Book of Proof
       Richard Hammack | Virginia Commonwealth University
       Published in 2009, 270 pages

124. Principles of Uncertainty
       Joseph B. Kadane | Chapman and Hall/CRC
       Published in 2011, 499 pages

125. Linear algebra via exterior products
       Sergei Winitzki | Ludwig-Maximilians University
       Published in 2009, 82 pages

126. Templates for the Solution of Linear Systems
       Richard Barrett et al. | Society for Industrial Mathematics
       Published in 1987, 117 pages

127. Lectures on Topics in Algebraic K-Theory
       Hyman Bass | Tata Institute of Fundamental Research
       Published in 1967, 138 pages

128. n-Linear Algebra of Type II
       W. B. V. Kandasamy, F. Smarandache | InfoLearnQuest
       Published in 2008, 231 pages

129. Von Neumann Algebras
       Vaughan F. R. Jones | UC Berkeley Mathematics
       Published in 2010, 159 pages

130. Surveys in Noncommutative Geometry
       Nigel Higson, John Roe | American Mathematical Society
       Published in 2006, 208 pages

131. Practical Mathematics
       A.H. Bell | Blackie And Son Limited
       Published in 1919, 356 pages

132. Manifold Theory
       Peter Petersen | UCLA
       Published in 2010, 77 pages

133. Lectures on Riemann Matrices
       C.L. Siegel | Tata Institute of Fundamental Research
       Published in 1963, 101 pages

134. Mathematical Statistics
       Henry Lewis Rietz | Open Court Pub. Co
       Published in 1927, 208 pages

135. On Advanced Analytic Number Theory
       C.L. Siegel | Tata Institute of Fundamental Research
       Published in 1961, 241 pages

136. Probabilistic Programming and Bayesian Methods for Hackers
       Cameron Davidson-Pilon | GitHub, Inc.
       Published in 2013

137. Mathematical Reasoning: Writing and Proof
       Ted Sundstrom | Pearson Education, Inc.
       Published in 2013, 591 pages

138. Special Fuzzy Matrices for Social Scientists
       W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral | InfoLearnQuest
       Published in 2007, 302 pages

139. Comments and topics on Smarandache notions and problems
       Kenichiro Kashihara | Erhus University Press
       Published in 1996, 50 pages

140. Elementary Algebra
       John Redden | Flat World Knowledge
       Published in 2011

141. Proofs in Mathematics
       Alexander Bogomolny | Interactive Mathematics Miscellany and Puzzles
       Published in 2013

142. Geometric Topology: Localization, Periodicity and Galois Symmetry
       Dennis Sullivan | Springer
       Published in 2005, 296 pages

143. Introduction to Mathematical Philosophy
       Bertrand Russell | University of Massachusetts Amherst
       Published in 2009, 181 pages

144. Lectures on Harmonic Analysis
       Thomas Wolff | American Mathematical Society
       Published in 2003, 85 pages

145. Computational Category Theory
       D.E. Rydeheard, R.M. Burstall |
       Published in 2001, 263 pages

146. Nonlinear Analysis and Differential Equations
       Klaus Schmitt, Russell C. Thompson | University of Utah
       Published in 2004, 158 pages

147. Numbers and Symbols: From Counting to Abstract Algebras
       Roy McWeeny | Learning Development Institute
       Published in 2007, 53 pages

148. Abstract Set Theory
       Thoralf A. Skolem | University of Notre Dame
       Published in 1962, 70 pages

149. Geometry, Topology and Physics
       Maximilian Kreuzer | Technische Universitat Wien
       Published in 2010, 69 pages

150. An Introduction to Quantum Chaos
       Mason A. Porter | arXiv
       Published in 2001, 57 pages

151. Lectures on Siegel Modular Forms and Representation by Quadratic Forms
       Y. Kitaoka | Tata Institute of Fundamental Research
       Published in 1986, 197 pages

152. Lecture Notes in Lie Groups
       Vladimir G. Ivancevic, Tijana T. Ivancevic | arXiv
       Published in 2011, 74 pages

153. The Convenient Setting of Global Analysis
       Andreas Kriegl, Peter W. Michor | American Mathematical Society
       Published in 1997, 624 pages

154. First Book in General Mathematics
       Frank S. Pugh | P.P. Simmons
       Published in 1917, 285 pages

155. Reasonable Basic Algebra
       Alain Schremmer |
       Published in 2008, 272 pages

156. Harmonic Analysis, the Trace Formula, and Shimura Varieties
       J. Arthur, D. Ellwood, R. Kottwitz | American Mathematical Society
       Published in 2005, 706 pages

157. Differential Equations
       William Woolsey Johnson | J. Wiley
       Published in 1906, 96 pages

158. Substitutions in Dynamics, Arithmetics, and Combinatorics
       Pierre Arnoux, et al. | Springer
       Published in 2002, 419 pages

159. Complex Integration and Cauchy's Theorem
       G. N. Watson | Cambridge University Press
       Published in 1914, 100 pages

160. A Handbook of Statistics
       Darius Singpurwalla | Bookboon
       Published in 2013, 79 pages

161. Abelian Categories: an Introduction to the Theory of Functors
       Peter Freyd | Harper and Row
       Published in 1964, 192 pages

162. Lectures on Sheaf Theory
       C.H. Dowker | Tata Institute of Fundamental Research
       Published in 1957, 201 pages

163. Matrix Differential Calculus with Applications in Statistics and Econometrics
       Jan R. Magnus, Heinz Neudecker | John Wiley & Sons
       Published in 2007, 468 pages

164. The Geometry of Iterated Loop Spaces
       J. P. May | Springer
       Published in 1972, 175 pages

165. Linear Algebra C-2: Geometrical Vectors, Vector Spaces and Linear Maps
       Leif Mejlbro | BookBoon
       Published in 2009, 126 pages

166. A Topology Primer
       Klaus Wirthmüller | Technische Universität Kaiserslautern
       Published in 2002, 197 pages

167. Category Theory Lecture Notes
       Michael Barr, Charles Wells |
       Published in 1999, 133 pages

168. Stochastic Integration and Stochastic Differential Equations
       Klaus Bichteler | University of Texas
       Published in 2002, 643 pages

169. General Topology
       Pierre Schapira | Université Paris VI
       Published in 2011, 78 pages

170. Projective and Polar Spaces
       Peter J. Cameron | Queen Mary College
       Published in 1991, 147 pages

171. An Introduction to D-Modules
       Jean-Pierre Schneiders | Universite de Liege
       Published in 1991, 73 pages

172. Lectures on Representation Theory and Invariant Theory
       William Crawley-Boevey | University of Leeds
       Published in 1990, 77 pages

173. Lectures on Noise Sensitivity and Percolation
       Christophe Garban, Jeffrey E. Steif | arXiv
       Published in 2011, 150 pages

174. CK-12 Single Variable Calculus
       R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis | CK-12 Foundation
       Published in 2009, 457 pages

175. Everything Maths: Grade 11 Mathematics
       Neels van der Westhuizen, et al. | Siyavula
       Published in 2012, 238 pages

176. Applied Analysis
       J. Hunter, B. Nachtergaele | World Scientific Publishing Company
       Published in 2005, 439 pages

177. Lie groups and Lie algebras
       N. Reshetikhin, V. Serganova, R. Borcherds | UC Berkeley
       Published in 2007, 199 pages

178. Algebra: Abstract and Concrete
       Frederick M. Goodman | Semisimple Press
       Published in 2006, 585 pages

179. Graph Theory
       Keijo Ruohonen | Tampere University of Technology
       Published in 2008, 114 pages

180. Lectures On Levi Convexity Of Complex Manifolds And Cohomology Vanishing Theorems
       E. Vesentini | Tata Institute Of Fundamental Research
       Published in 1967, 114 pages

181. Dave's Short Course in Trigonometry
       David E. Joyce | Clark University
       Published in 2002

182. Elementary Number Theory
       W W L Chen | Macquarie University
       Published in 2003

183. A Text-Book of Geometry
       G. A. Wentworth | Ginn & Company
       Published in 1898, 264 pages

184. Probability, Statistics and Stochastic Processes
       Cosma Rohilla Shalizi |
       Published in 2001, 71 pages

185. Lectures on Exterior Differential Systems
       M. Kuranishi | Tata Institute of Fundamental Research
       Published in 1962, 117 pages

186. Symbolic Logic: A First Course
       Gary Hardegree | Mcgraw-Hill College
       Published in 1999, 468 pages

187. A Short Course on Approximation Theory
       N. L. Carothers | Bowling Green State University
       Published in 2009, 159 pages

188. A Treatise on Probability
       John Maynard Keynes | Macmillan and co
       Published in 1921, 561 pages

189. Introduction to the Elementary Functions
       Raymond Benedict McClenon | Ginn and company
       Published in 1918, 244 pages

190. Lectures on Curves on Rational and Unirational Surfaces
       Masayoshi Miyanishi | Tata Institute of Fundamental Research
       Published in 1978, 267 pages

191. Introduction to Stokes Structures
       Claude Sabbah | arXiv
       Published in 2010, 157 pages

192. Multivariable Calculus
       Wong Yan Loi | National University of Singapore
       Published in 2013, 105 pages

193. A Century of Mathematics in America
       Peter Duren, Richard A. Askey | American Mathematical Society
       Published in 1988

194. Geometry of 2D Topological Field Theories
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333. Introduction to Bimatrices
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356. A Problem-Solving Approach to College Algebra
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366. Axiomatic Set Theory I
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372. An Introduction to Dynamical Systems and Chaos
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373. Variational Modelling: Energies, gradient flows, and large deviations
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385. Unfolding the Labyrinth: Open Problems in Mathematics, Physics, Astrophysics, and Other Areas of Science
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387. Plane Geometry
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388. An Introduction to Microlocal Analysis
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389. Shadows of the Truth: Metamathematics of Elementary Mathematics
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390. Applied Combinatorics
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391. Arimaa
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392. Ordinary Differential Equations and Dynamical Systems
       Gerald Teschl | Universitaet Wien
       Published in 2009, 297 pages

393. Categories, Types, and Structures
       Andrea Asperti, Giuseppe Longo | MIT Press
       Published in 1991, 300 pages

394. Numerical Analysis: Theory and Application
       Jan Awrejcewicz | InTech
       Published in 2011, 626 pages

395. Chance and Luck
       Richard A. Proctor | Longmans, Green, and Co.
       Published in 1887, 164 pages

396. Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problems
       Marco Squassina | Electronic Journal of Differential Equations
       Published in 2006, 213 pages

397. The Geometry and Topology of Three-Manifolds
       William P Thurston | Mathematical Sciences Research Institute
       Published in 2002, 502 pages

398. Handbook of Engineering Mathematics
       Walter E. Wynne, William Spraragen | Van Nostrand
       Published in 1916, 246 pages

399. Tight and Taut Submanifolds
       Thomas E. Cecil, Shiing-shen Chern | Cambridge University Press
       Published in 1997, 349 pages

400. One Variable Advanced Calculus
       Kenneth Kuttler | Brigham Young University
       Published in 2008, 267 pages

401. Statistics
        | Wikibooks
       Published in 2013, 236 pages

402. A Introduction to Proofs and the Mathematical Vernacular
       Martin Day |
       Published in 2009, 123 pages

403. Reform Calculus
       Marcel B. Finan | Arkansas Tech University
       Published in 2004

404. CK-12 Basic Probability and Statistics: A Short Course
       Brenda Meery | CK-12.org
       Published in 2010

405. Sequences and Power Series: Guidelines for Solutions of Problems
       Leif Mejlbro | BookBoon
       Published in 2007, 104 pages

406. Functors and Categories of Banach Spaces
       Peter W. Michor | Springer
       Published in 1978, 103 pages

407. Lectures on Birational Geometry
       Caucher Birkar | arXiv
       Published in 2012, 85 pages

408. Recreations in Mathematics
       H E. Licks | D. Van Nostrand Company
       Published in 1917, 163 pages

409. Commutator Theory for Congruence Modular Varieties
       Ralph Freese, Ralph McKenzie | Cambridge University Press
       Published in 1987, 174 pages

410. Notes on String Topology
       Ralph L. Cohen, Alexander A. Voronov | arXiv
       Published in 2005, 95 pages

411. Introduction to Complex Analysis
       W W L Chen | Macquarie University
       Published in 2008

412. Iterative Methods for Linear and Nonlinear Equations
       C.T. Kelley | SIAM
       Published in 1995, 172 pages

413. Handbook of Mathematical Functions
       M. Abramowitz, I. A. Stegun | GPO
       Published in 1964, 1046 pages

414. Foliations and the Geometry of 3-manifolds
       Danny Calegari | Oxford University Press
       Published in 2007, 371 pages

415. Introduction to Proof Theory
       Gilles Dowek | ESSLLI
       Published in 2001, 82 pages

416. Mathematics For Engineering Students
       Samuel Keller | D. Van Nostrand Company
       Published in 1908, 376 pages

417. Everything Maths: Grade 12 Mathematics
       Neels van der Westhuizen, et al. | Siyavula
       Published in 2012, 199 pages

418. Applied Mathematics by Example
       Jeremy Pickles | BookBoon
       Published in 2010

419. Advanced Graph Theory and Combinatorial Optimization
       Alexander Schrijver |
       Published in 2012, 64 pages

420. Roots of a Compact Lie Group
       Kristopher Tapp | arXiv
       Published in 2009, 39 pages

421. Yet Another Calculus Text
       Dan Sloughter |
       Published in 2007, 147 pages

422. Smarandache Semigroups
       W. B. Vasantha Kandasamy | American Research Press
       Published in 2002, 95 pages

423. Cook-Book Of Mathematics
       Viatcheslav Vinogradov | CERGE-EI
       Published in 1999, 116 pages

424. Lectures on Elementary Probability
       William G. Faris | University of Arizona
       Published in 2002, 62 pages

425. Optimization and Dynamical Systems
       U. Helmke, J. B. Moore | Springer
       Published in 1996, 414 pages

426. Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry
       Florentin Smarandache | Amer Research Pr
       Published in 2000, 84 pages

427. Matrices
       Shmuel Friedland | University of Illinois at Chicago
       Published in 2010, 437 pages

428. Problems Solved! An Algebra Study Guide
       John Redden | College of the Sequoias
       Published in 2006

429. Intermediate Maths for Chemists
       J. E. Parker | Bookboon
       Published in 2013, 106 pages

430. Symplectic Geometry
       Ana Cannas da Silva | Princeton University
       Published in 2004, 109 pages

431. Lectures on The Riemann Zeta-Function
       K. Chandrasekharan | Tata Institute of Fundamental Research
       Published in 1953, 154 pages

432. Inside Out: Inverse Problems and Applications
       Gunther Uhlmann | Cambridge University Press
       Published in 2003, 400 pages

433. Essays on the Theory of Numbers
       Richard Dedekind | The Open Court Publishing
       Published in 1901, 78 pages

434. Introductory Finite Difference Methods for PDEs
       D. M. Causon, C. G. Mingham | BookBoon
       Published in 2010, 144 pages

435. Precalculus: An Investigation of Functions
       David Lippman, Melonie Rasmussen | Lulu.com
       Published in 2011, 568 pages

436. Elements of Plane Trigonometry
       Hugh Blackburn | Macmillan and co
       Published in 1871, 143 pages

437. Group theory for Maths, Physics and Chemistry
       Arjeh Cohen, Rosane Ushirobira, Jan Draisma |
       Published in 2007, 93 pages

438. Introduction to Symplectic and Hamiltonian Geometry
       Ana Cannas da Silva |
       Published in 2007, 158 pages

439. Introduction to Twisted Commutative Algebras
       Steven V Sam, Andrew Snowden | arXiv
       Published in 2012, 56 pages

440. Geometric Complexity Theory: An Introduction for Geometers
       J.M. Landsberg | arXiv
       Published in 2013, 38 pages

441. Calculus Without Limits
       John C. Sparks | Sparrow Hawk Treasures
       Published in 2008, 344 pages

442. Introduction to Analytic Number Theory
       A.J. Hildebrand | University of Illinois
       Published in 2006, 197 pages

443. How We Got From There to Here: A Story of Real Analysis
       Robert Rogers, Eugene Boman | Open SUNY Textbooks
       Published in 2013, 210 pages

444. Elements of Applied Mathematics
       Cobb Herbert E. | Ginn and Company
       Published in 1911, 292 pages

445. Differential Geometry: Lecture Notes
       Dmitri Zaitsev | Trinity College Dublin
       Published in 2004, 49 pages

446. Convex Geometric Analysis
       Keith Ball, Vitali Milman | Cambridge University Press
       Published in 1998, 236 pages

447. Equivariant Stable Homotopy Theory
       G. Jr. Lewis, J. P. May, M. Steinberger, J. E. McClure | Springer
       Published in 1986, 538 pages

448. Open Trigonometry: Basic to Advanced
        | Wikibooks
       Published in 2014, 51 pages

449. The Philosophy of Mathematics
       Albert Taylor Bledsoe | J.B. Lippincott & Co
       Published in 1868, 248 pages

450. The Hopf Bifurcation and Its Applications
       J. E. Marsden, M. McCracken | Springer
       Published in 1976, 424 pages

451. Foundations of Mathematics
       Stephen G. Simpson | Pennsylvania State University
       Published in 2008, 123 pages

452. Proof in Mathematics: An Introduction
       James Franklin, Albert Daoud | Kew Books
       Published in 2011, 104 pages

453. Mathematics and Music
       David Wright | Washington University in St. Louis
       Published in 2009, 176 pages

454. Flatland: A Romance of Many Dimensions
       Edwin A. Abbot | Seeley and Co.
       Published in 1884, 120 pages

455. Lectures on Symplectic Geometry
       Ana Cannas da Silva | Springer
       Published in 2006, 225 pages

456. Set Linear Algebra and Set Fuzzy Linear Algebra
       W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral | InfoLearnQuest
       Published in 2008, 345 pages

457. Reversibility and Stochastic Networks
       F.P. Kelly | John Wiley and Sons Ltd
       Published in 1979, 233 pages

458. The Contraction Mapping Principle and Some Applications
       Robert M. Brooks, Klaus Schmitt | American Mathematical Society
       Published in 2009, 90 pages

459. Foundations of geometry for university students and high-school students
       Ruslan Sharipov | arXiv
       Published in 2007, 221 pages

460. Statistics: Methods and Applications
       Thomas Hill, Paul Lewicki | StatSoft, Inc.
       Published in 2005, 800 pages

461. First Course in Statistics
       D Caradog Jones | G Bell
       Published in 1921, 288 pages

462. Introduction to Probability
       Leif Mejlbro | BookBoon
       Published in 2009, 61 pages

463. Non-Uniform Random Variate Generation
       Luc Devroye | Springer
       Published in 1986, 843 pages

464. Funny Little Calculus Text
       Robert Ghrist | University of Pennsylvania
       Published in 2012, 46 pages

465. Axiomatic Set Theory
       Michael Meyling |
       Published in 2011, 36 pages

466. Numerical Solutions of Engineering Problems
       K. Nandakumar | University of Alberta
       Published in 1998, 193 pages

467. Trigonometry for Beginners
       J. B. Lock | The MacMillan Company
       Published in 1896, 236 pages

468. Probability and Statistics Cookbook
       Matthias Vallentin | vallentin.net
       Published in 2012, 28 pages

469. Parallel Spectral Numerical Methods
       Gong Chen, et al. | Wikibooks
       Published in 2013

470. Differential Forms and Cohomology: Course
       Peter Saveliev | Intelligent Perception
       Published in 2013

471. Introduction to Graphs
       Alexander K. Hartmann, Martin Weigt | arXiv
       Published in 2006, 45 pages

472. Elementary Symbolic Dynamics and Chaos in Dissipative Systems
       Bai-Lin Hao | World Scientific
       Published in 1989, 475 pages

473. Determinants and Matrices
       R. Kochendörfer | Teubner
       Published in 1961

474. Numerical Methods For Time Dependent Equations
       P. Lascaux | Tata Institute of Fundamental Research
       Published in 1976, 162 pages

475. Men of Mathematics
       E.T. Bell | Archive.org
       Published in 1937

476. Calculus Unlimited
       Jerrold E. Marsden, A. Weinstein | Benjamin-Cummings Publishing Co.
       Published in 1981, 246 pages

477. A Friendly Introduction to Number Theory
       Joseph H. Silverman | Pearson Education, Inc.
       Published in 2012, 56 pages

478. The Philosophy of Mathematics
       Auguste Comte | Harper & brothers
       Published in 1851, 276 pages

479. Hopf Algebras in General and in Combinatorial Physics: a practical introduction
       G.H.E. Duchamp, et al. | arXiv
       Published in 2008, 40 pages

480. Differential and Integral Calculus
       C. E. Love, E. D. Rainville | The MacMillan Company
       Published in 1916, 369 pages

481. Super Special Codes using Super Matrices
       W.B.V. Kandasamy, F. Smarandache, K.Ilanthenral | arXiv
       Published in 2010, 161 pages

482. Integrate Your Brain: How To Do Calculus In Your Head
       Aaron Maxwell | Lulu.com
       Published in 2006, 51 pages

483. Set Theoretic Approach to Algebraic Structures in Mathematics
       W. B. Vasantha Kandasamy, Florentin Smarandache | Educational Publisher
       Published in 2013, 168 pages

484. The Matrix Cookbook
       Kaare Brandt Petersen, Michael Syskind Pedersen |
       Published in 2008, 67 pages

485. Logic For Everyone
       Robert A. Herrmann |
       Published in 2006, 124 pages

486. Seminar on Triples and Categorical Homology Theory
       B. Eckmann | Springer
       Published in 1969, 304 pages

487. Introduction to Differential Geometry and General Relativity
       Stefan Waner |
       Published in 2005, 138 pages

488. Grassmann Algebra
       John Browne |
       Published in 2001

489. Isabelle/HOL: A Proof Assistant for Higher-Order Logic
       T. Nipkow, L.C. Paulson, M. Wenzel | Springer
       Published in 2010, 223 pages

490. Complex Analytic and Differential Geometry
       Jean-Pierre Demailly | Universite de Grenoble
       Published in 2007, 571 pages

491. Lectures on Sieve Methods
       H.E. Richert | Tata Institute of Fundamental Research
       Published in 1976, 216 pages

492. Voting, Arbitration & Fair Division: Mathematics of Social Choice
       Marcus Pivato | Trent University
       Published in 2007, 181 pages

493. Calculus: A Modern, Rigorous Approach
       Horst R. Beyer |
       Published in 2007, 577 pages

494. Practical Plane and Solid Geometry for Advanced Students
       J. Harrison, G.A. Baxandall | Macmillan
       Published in 1899, 584 pages

495. Advanced Calculus
       Lynn H. Loomis, Shlomo Sternberg | Jones and Bartlett Publishers
       Published in 1989, 592 pages

496. Formal Logic
        | Wikibooks
       Published in 2009

497. Vector Analysis and Quaternions
       Alexander Macfarlane | John Wiley & Sons
       Published in 1906, 65 pages

498. The Axiomatic Method
       L. Henkin, P. Suppes, A. Tarski | North Holland Publishing Company
       Published in 1959, 508 pages

499. Differential Topology of Fiber Bundles
       Karl-Hermann Neeb | FAU Erlangen-Nuernberg
       Published in 2010, 146 pages

500. Computational Modeling and Mathematics Applied to the Physical Sciences
        | National Academy Press
       Published in 1984, 108 pages

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