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

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

003. Vector Math for 3D Computer Graphics
       Bradley Kjell | Central Connecticut State University
       Published in 2003

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

005. Algebraic Topology
       Allen Hatcher | Cambridge University Press
       Published in 2001, 553 pages

006. Synthetic Differential Geometry
       Anders Kock | Cambridge University Press
       Published in 2006, 241 pages

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

008. Introduction to Lie Groups and Lie Algebras
       Alexander Kirillov, Jr. | SUNY at Stony Brook
       Published in 2010, 136 pages

009. Relationships, Change and Mathematical Analysis
       Roy McWeeny | Learning Development Institute
       Published in 2011, 94 pages

010. A History of Greek Mathematics
       Thomas Little Heath | Clarendon Press
       Published in 1921, 1084 pages

011. Algorithmic Graph Theory
       David Joyner, Minh Van Nguyen, Nathann Cohen | Google Code
       Published in 2010, 105 pages

012. Surreal Numbers: An Introduction
       Claus Tondering |
       Published in 2005, 50 pages

013. Dynamic Programming and Bayesian Inference: Concepts and Applications
       Mohammad Saber Fallah Nezhad (ed.) | InTech
       Published in 2014, 164 pages

014. Introduction to Groups, Invariants and Particles
       Frank W. K. Firk | Orange Grove Texts Plus
       Published in 2000, 162 pages

015. Analytic Combinatorics
       Philippe Flajolet, Robert Sedgewick | Cambridge University Press
       Published in 2008, 822 pages

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

017. Matroid Decomposition
       Klaus Truemper | Leibniz
       Published in 1998, 398 pages

018. Stochastic Processes
       David Nualart | Universitat de Barcelona
       Published in 2003, 148 pages

019. Differential Geometry in Physics
       Gabriel Lugo | University of North Carolina at Wilmington
       Published in 2006, 61 pages

020. Analytic Geometry and Calculus
       F.S. Woods, F.H. Bailey | Ginn and Company
       Published in 1917, 542 pages

021. Complex Analysis for Mathematics and Engineering
       John H. Mathews, Russell W. Howell | Jones & Bartlett Learning
       Published in 2006, 633 pages

022. Linear Algebra: An Introduction to Linear Algebra for Pre-Calculus Students
       T. A. Carter, R. A. Tapia, A. Papakonstantinou | Rice University
       Published in 1995, 230 pages

023. Linear Algebra
       Benjamin McKay | University College Cork
       Published in 2008, 491 pages

024. Toposes, Triples and Theories
       Michael Barr, Charles Wells | Springer-Verlag
       Published in 2005, 303 pages

025. Introduction to the Method of Multiple Scales
       Per Jakobsen | arXiv
       Published in 2014, 65 pages

026. Predicative Arithmetic
       Edward Nelson | Princeton Univ Pr
       Published in 1987, 201 pages

027. Notes on Introductory Point-Set Topology
       Allen Hatcher | Cornell University
       Published in 2011, 53 pages

028. Finite Group Schemes
       Richard Pink | ETH Zurich
       Published in 2005, 78 pages

029. Essential Engineering Mathematics
       Michael Batty | BookBoon
       Published in 2011, 149 pages

030. Linear Programming
       Jim Burke | University of Washington
       Published in 2012

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

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

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

034. A Short Account of the History of Mathematics
       W. W. Rouse Ball | Dover Publications
       Published in 1960, 466 pages

035. Calculus I, II, and III
       Jerrold E. Marsden, Alan Weinstein | Springer
       Published in 1986

036. Algebraic Methods
       F. Oggier | Nanyang Technological University
       Published in 2010, 129 pages

037. Complex Analysis on Riemann Surfaces
       Curtis McMullen | Harvard University
       Published in 2005, 89 pages

038. Philosophy and Fun of Algebra
       Mary Everest Boole | C. W. Daniel
       Published in 1891, 56 pages

039. Statistics for Business and Economics
       Marcelo Fernandes | BookBoon
       Published in 2009, 150 pages

040. A Brief History of Mathematics
       Karl Fink | Open Court Publishing Company
       Published in 1900, 366 pages

041. Algebraic Number Theory and Class Field Theory
       Holden Lee | MIT
       Published in 2012, 341 pages

042. Experimental Design and Analysis
       Howard J. Seltman | Carnegie Mellon University
       Published in 2012, 428 pages

043. Category Theory Lecture Notes
       Daniele Turi | University of Edinburgh
       Published in 2001, 61 pages

044. First Principles of Symmetrical Beauty
       David Ramsay Hay | W. Blackwood and sons
       Published in 1846, 305 pages

045. Logic for Computer Scientists
       Uli Furbach | Wikibooks
       Published in 2010

046. Short introduction to Nonstandard Analysis
       E. E. Rosinger | arXiv
       Published in 2004, 197 pages

047. Lectures on Differential Geometry
       John Douglas Moore | University of California
       Published in 2009, 263 pages

048. Smarandache Near-rings
       W. B. Vasantha Kandasamy | American Research Press
       Published in 2002, 201 pages

049. Galois Groups and Fundamental Groups
       David Meredith | San Francisco State University
       Published in 1999, 89 pages

050. Easy Mathematics: Arithmetic and Algebra for General Readers
       Oliver Lodge | The Macmillan Company
       Published in 1910, 466 pages

051. Elements of the Differential and Integral Calculus
       William Anthony Granville | Ginn
       Published in 1911, 493 pages

052. A Treatise on the Theory of Invariants
       Oliver E. Glenn | Project Gutenberg
       Published in 2006, 221 pages

053. Special Set Linear Algebra and Special Set Fuzzy Linear Algebra
       W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral | CuArt
       Published in 2009, 469 pages

054. Ricci Flow and the Poincare Conjecture
       John Morgan, Gang Tian | American Mathematical Society
       Published in 2007, 493 pages

055. Perturbation Theory of Dynamical Systems
       Nils Berglund | arXiv
       Published in 2001, 111 pages

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

057. Collaborative Statistics
       Barbara Illowsky, Susan Dean | Illowsky Publising
       Published in 2008, 611 pages

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

059. Just the Maths
       A. J. Hobson |
       Published in 2002

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

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

062. The K-book: An introduction to algebraic K-theory
       Charles Weibel | Rutgers
       Published in 2010

063. An Elementary Introduction to Groups and Representations
       Brian C. Hall | arXiv
       Published in 2000, 128 pages

064. Algebraic Geometry
       Andreas Gathmann | University of Kaiserslautern
       Published in 2003, 214 pages

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

066. Amusements in Mathematics
       Henry Ernest Dudeney | Nelson
       Published in 1917, 280 pages

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

068. Mathematical Discovery
       A.M. Bruckner, B.S. Thomson, J.B. Bruckner | ClassicalRealAnalysis.com
       Published in 2011, 267 pages

069. Essential Mathematics
       Franco Vivaldi |
       Published in 2006, 74 pages

070. The Classification Theorem for Compact Surfaces
       Jean Gallier, Dianna Xu |
       Published in 2009, 134 pages

071. Introduction to Differential Equations
       Jeff rey R. Chasnov | The Hong Kong University of Science &Technology
       Published in 2010, 126 pages

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

073. Lectures on Entire Functions
       B. Ya. Levin | American Mathematical Society
       Published in 1996, 265 pages

074. Computer analysis of number sequences
       Henry Ibstedt | American Research Press
       Published in 1998, 86 pages

075. Algebraic Geometry
       J.S. Milne |
       Published in 2008, 241 pages

076. Lectures on Linear Logic
       A. S. Troelstra | CSLI
       Published in 1992, 215 pages

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

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

079. Elliptic Functions and Elliptic Curves
       Jan Nekovar | Institut de Mathematiques de Jussieu
       Published in 2004, 175 pages

080. Probability: Theory and Examples
       Rick Durrett | Cambridge University Press
       Published in 2010, 372 pages

081. Lecture Notes on Embedded Contact Homology
       Michael Hutchings | arXiv
       Published in 2013, 88 pages

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

083. Modular Forms: A Computational Approach
       William A. Stein | American Mathematical Society
       Published in 2007, 282 pages

084. Knot Diagrammatics
       Louis H. Kauffman | arXiv
       Published in 2004, 107 pages

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

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

087. Linear Algebra: Foundations to Frontiers
       M.E. Myers, P.M. van de Geijn, R.A. van de Geijn | ulaff.net
       Published in 2014, 905 pages

088. Elementary Number Theory
       William Edwin Clark | University of South Florida
       Published in 2002, 129 pages

089. Riemannian Submanifolds: A Survey
       Bang-Yen Chen | arXiv
       Published in 2013, 272 pages

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

091. Computational and Algorithmic Linear Algebra and n-Dimensional Geometry
       Katta G. Murty |
       Published in 2001, 554 pages

092. Many Variable Advanced Calculus
       Kenneth Kuttler |
       Published in 2008, 375 pages

093. Optimization Algorithms on Matrix Manifolds
       P.-A. Absil, R. Mahony, R. Sepulchre | Princeton University Press
       Published in 2007, 240 pages

094. Congruence Lattices of Finite Algebras
       William DeMeo | arXiv
       Published in 2012, 130 pages

095. CDBooK: Introduction to Vassiliev Knot invariants
       S.Chmutov, S.Duzhin, J.Mostovoy | Ohio State Universit
       Published in 2009, 460 pages

096. Encyclopaedia of Mathematics
       Michiel Hazewinkel | Springer
       Published in 2011

097. Functional Analysis with Applications
       Palle Jorgensen, Feng Tian | arXiv
       Published in 2014, 338 pages

098. Lectures on Potential Theory
       M. Brelot | Tata Institute of Fundamental Research
       Published in 1967, 158 pages

099. Lectures on Mean Periodic Functions
       J.P. Kahane | Tata Institute of Fundamental Research
       Published in 1959, 165 pages

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

101. Lectures on Optimization: Theory and Algorithms
       John Cea | Tata Institute of Fundamental Research
       Published in 1978, 237 pages

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

103. Nonlinear Fourier Analysis
       Terence Tao, Christoph Thiele | arXiv
       Published in 2012, 98 pages

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

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

106. Functional Analysis Lecture Notes
       T.B. Ward | University of East Anglia
       Published in 2001, 73 pages

107. Calculus Concentrate
       Russell A. Gordon | Whitman College
       Published in 2006, 182 pages

108. Super Linear Algebra
       W. B. V. Kandasamy, F. Smarandache | InfoQuest
       Published in 2008, 293 pages

109. Set Theory
       Gary Hardegree | UMass Amherst
       Published in 2003

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

111. Topics in Algebraic Combinatorics
       Richard P. Stanley | MIT
       Published in 2013, 127 pages

112. Lectures on Algebraic Groups
       Alexander Kleshchev | University of Oregon
       Published in 2005, 166 pages

113. Applied and Computational Linear Algebra: A First Course
       Charles L. Byrne | University of Massachusetts Lowell
       Published in 2013, 504 pages

114. Non-Euclidean Geometry: A Critical and Historical Study of its Development
       Roberto Bonola | Open Court Publishing Company
       Published in 1912, 292 pages

115. Jordan Operator Algebras
       Harald Hanche-Olsen, Erling Størmer | Pitman
       Published in 1984, 216 pages

116. The Octonions
       John C. Baez | University of California
       Published in 2001, 56 pages

117. Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators
       Nicolas Lerner | Birkhäuser
       Published in 2009

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

119. Differential Geometry Course Notes
       Richard Koch | University of Oregon
       Published in 2005, 188 pages

120. Arithmetic Duality Theorems
       J.S. Milne | BookSurge Publishing
       Published in 2006, 347 pages

121. Introduction to Statistical Thought
       Michael Lavine |
       Published in 2008, 434 pages

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

123. Elementary Calculus
       Frederick S Woods, Frederick H Bailey | Ginn and Company
       Published in 1922, 323 pages

124. Lectures on Analytic Differential Equations
       Yulij Ilyashenko, Sergei Yakovenko | American Mathematical Society
       Published in 2007, 599 pages

125. Introduction to Tensor Calculus
       Kees Dullemond, Kasper Peeters | University of Heidelberg
       Published in 2010, 53 pages

126. Precalculus
       David H. Collingwood, K. David Prince, Matthew M. Conroy |
       Published in 2011, 335 pages

127. Differential Topology
       Bjorn Ian Dundas | Johns Hopkins University
       Published in 2002, 183 pages

128. Lectures on a Method in the Theory of Exponential Sums
       M. Jutila | Tata Institute of Fundamental Research
       Published in 1987, 134 pages

129. Calculus of Residua: Complex Functions Theory a-2
       Leif Mejlbro | BookBoon
       Published in 2010, 140 pages

130. Langlands Correspondence for Loop Groups
       Edward Frenkel | Cambridge University Press
       Published in 2007, 393 pages

131. Partial Differential Equations: An Introduction
       A.D.R. Choudary, Saima Parveen, Constantin Varsan | arXiv
       Published in 2010, 208 pages

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

133. A First Course in Linear Algebra
       Robert A. Beezer | University of Puget Sound
       Published in 2010, 1035 pages

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

135. Probability and Statistics
        | UCLA
       Published in 2012

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

137. Applied Mathematical Programming
       S. Bradley, A. Hax, T. Magnanti | Addison-Wesley
       Published in 1977, 716 pages

138. Introduction to Probability
       C. M. Grinstead & J. L. Snell | American Mathematical Society
       Published in 1997, 520 pages

139. Infinite-dimensional Lie Algebras
       Iain Gordon | University of Edinburgh
       Published in 2009, 55 pages

140. Geometric Theorems and Arithmetic Functions
       Jozsef Sandor | American Research Press
       Published in 2002, 55 pages

141. Lectures on the Geometry of Manifolds
       Liviu I. Nicolaescu | World Scientific Publishing Company
       Published in 2009, 570 pages

142. Geometry of Surfaces
       Nigel Hitchin |
       Published in 2004

143. Noncommutative Geometry
       Alain Connes | Academic Press
       Published in 1994, 654 pages

144. A Course in Mathematical Analysis
       E. Goursat, O. Dunkel, E.R. Hedrick | Ginn & company
       Published in 1904, 1890 pages

145. 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

146. Polynomials and the Steenrod Algebra
       Grant Walker, Reg Wood | University of Manchester
       Published in 2010, 121 pages

147. Elementary Partial Differential Equations and Applications
       Bjorn Birnir | University of California at Santa Barbara
       Published in 1998, 110 pages

148. Lectures on Probability, Statistics and Econometrics
       Marco Taboga | statlect.com
       Published in 2010

149. Group Theory: Birdtracks, Lie's, and Exceptional Groups
       Predrag Cvitanovic | Princeton University Press
       Published in 2008, 285 pages

150. Optimization Models For Decision Making
       Katta G. Murty | Springer
       Published in 2010, 482 pages

151. Real Analysis
       A. M. Bruckner, J. B. Bruckner, B. S. Thomson | Prentice Hall
       Published in 1997, 713 pages

152. Linear Optimisation and Numerical Analysis
       Ian Craw | University of Aberdeen
       Published in 2002, 151 pages

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

154. Foundations of Combinatorics with Applications
       Edward A. Bender, S. Gill Williamson | Dover Publications
       Published in 2006, 480 pages

155. Elliptic Integrals
       Harris Hancock | J. Wiley
       Published in 1917, 118 pages

156. Computable Integrability
       Alexey Shabat, Elena Kartashova | arXiv
       Published in 2011, 174 pages

157. Linear Algebra
       W W L Chen | Macquarie University
       Published in 2008

158. Multivariable and Vector Analysis
       W W L Chen | Macquarie University
       Published in 2008

159. High School Algebra
       J.T. Crawford | The Macmillan Company
       Published in 1916, 428 pages

160. Introduction to Abstract Algebra
       D. S. Malik, John N. Mordeson, M.K. Sen | Creighton University
       Published in 2007, 276 pages

161. The Continuum and Other Types of Serial Order
       Edward V. Huntington | Dover Publications
       Published in 1917, 90 pages

162. Harmonic Analysis
       S.R.S. Varadhan | New York University
       Published in 2000, 82 pages

163. Elementary Topology
       O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov | American Mathematical Society
       Published in 2008, 400 pages

164. Introduction to Algebraic Topology and Algebraic Geometry
       U. Bruzzo |
       Published in 2008, 138 pages

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

166. Discrete Dynamical Systems
       Arild Wikan | Bookboon
       Published in 2013, 254 pages

167. Elementary Calculus: An Approach Using Infinitesimals
       H. Jerome Keisler | Bodgen & Quigley
       Published in 2000, 856 pages

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

169. Introduction to Infinitesimal Analysis: Functions of One Real Variable
       N. J. Lennes | John Wiley & Sons
       Published in 1907, 225 pages

170. Class Field Theory
       J. S. Milne |
       Published in 2008, 287 pages

171. Quantitative Analysis: Algebra with a Business Perspective
       Donna M. Wacha | Bookboon
       Published in 2013, 303 pages

172. Reversible Markov Chains and Random Walks on Graphs
       Aldous, Fill | University of California, Berkeley
       Published in 2002

173. Mathematics in the Age of the Turing Machine
       Thomas Hales | arXiv
       Published in 2013, 45 pages

174. The Principles Of Mathematics
       Bertrand Russell | W. W. Norton & Company
       , 579 pages

175. A Gentle Introduction to the Art of Mathematics
       Joseph Fields | Southern Connecticut State University
       Published in 2009, 428 pages

176. Ample Subvarieties of Algebraic Varieties
       Robin Hartshorne | Springer
       Published in 1970, 273 pages

177. Complex Variables: Second Edition
       R. B. Ash, W. P. Novinger | Dover Publications
       Published in 2007, 224 pages

178. Orthonormal Basis in Minkowski Space
       Aleks Kleyn, Alexandre Laugier | arXiv
       Published in 2012, 132 pages

179. Riemannian Geometry
       Ilkka Holopainen, Tuomas Sahlsten |
       Published in 2013, 102 pages

180. Notes on Operator Algebras
       G. Jungman | Los Alamos National Laboratory
       Published in 1999, 60 pages

181. Lecture Notes in Discrete Mathematics
       Marcel B. Finan | Arkansas Tech University
       Published in 2001, 224 pages

182. Games of No Chance 3
       Michael H. Albert, Richard J. Nowakowski | Cambridge University Press
       Published in 2009, 586 pages

183. Set Theory and Topology: An Introduction to the Foundations of Analysis
       Felix Nagel | arXiv
       Published in 2013, 160 pages

184. Introductory Statistics Notes
       Jamie DeCoster | University of Alabama
       Published in 1998, 48 pages

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

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

187. The Geometry of the Sphere
       John C. Polking | Rice University
       Published in 2000

188. Introduction to Evolution Equations in Geometry
       Bianca Santoro | arXiv
       Published in 2012, 91 pages

189. Orbital Integrals on Reductive Lie Groups and Their Algebras
       Francisco Bulnes | InTech
       Published in 2013, 181 pages

190. Homeomorphisms in Analysis
       Casper Goffman, at al. | American Mathematical Society
       Published in 1997, 216 pages

191. Applied Discrete Structures
       Al Doerr, Ken Levasseur | Lulu.com
       Published in 2013, 496 pages

192. High School Mathematics Extensions
       Zhuo Jia Dai, Martin Warmer, Tom Lam | Wikibooks
       Published in 2008, 250 pages

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

194. Abstract Algebra
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291. Symplectic Geometry of Quantum Noise
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295. Implementing Mathematics with The Nuprl Proof Development System
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296. Commutative Algebra
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297. A History of Mathematics
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306. Introductory Statistics: Concepts, Models, and Applications
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310. Vector Analysis Notes
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313. Fractals
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314. Basic Calculus Refresher
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315. A Century of Mathematics in America
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316. Art Gallery Theorems and Algorithms
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317. Analysis on Homogeneous Spaces
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318. An Introduction to Quantum Chaos
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319. A. N. Whitehead's Geometric Algebra
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321. Basic Analysis Gently Done: Topological Vector Spaces
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322. Elements of Group Theory
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323. Model Theory
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324. Tabletop: Analog Game Design
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325. Mathematical Illustrations: A Manual of Geometry and PostScript
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326. Second-order Ordinary Differential Equations
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327. Probability Theory
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328. Topics in Discrete Mathematics
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329. Statistics Review: Including a probability theory background
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331. Tight and Taut Submanifolds
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332. Math Alive
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333. Notes on Automorphic Functions
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334. The Handbook of Essential Mathematics
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335. Basic Category Theory
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338. Symmetry Groups and Their Applications
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339. Notes on Optimization
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343. Lectures on Topics in Algebraic Number Theory
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345. Tensor Analysis
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348. Everything Maths: Grade 10 Mathematics
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350. C*-algebras
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351. College Algebra
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352. Surgical Methods in Rigidity
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353. The Eightfold Way: The Beauty of Klein's Quartic Curve
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354. Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations
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355. Mathematics, Basic Math and Algebra
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356. Modern Geometry
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357. Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra
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358. Manifolds and Differential Forms
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359. Essentials of Statistics: Exercises
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360. Algebraic Curves: an Introduction to Algebraic Geometry
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362. Groups as Graphs
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363. Commutative Algebra
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364. Calculus: A Modern, Rigorous Approach
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365. General Topology
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366. Introduction to Algebraic Geometry
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367. Lectures on Topics In Finite Element Solution of Elliptic Problems
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371. A Geometric Approach to Differential Forms
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372. Discrete Mathematics
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373. Discrete Optimization
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374. Handbook of Mathematics for Engineers
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375. Introduction to Shimura Varieties
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376. Mathematics under the Microscope
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377. Introduction to Lebesgue Integration
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379. Notes on Categories and Groupoids
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380. An Introduction to Microlocal Analysis
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381. Classical Algebraic Geometry: A Modern View
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382. Foundations of Descriptive and Inferential Statistics
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383. Lectures on Etale Cohomology
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384. The Calculus of Functions of Several Variables
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385. Introduction to Functional Analysis
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386. Nonlinear Analysis and Differential Equations
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387. Introduction to Representation Theory
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388. Introduction to Differential Topology
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389. Understanding Calculus
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390. Lectures on The Theory of Functions of Several Complex Variables
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391. Flatland: A Romance of Many Dimensions
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392. Algebra: A Computational Introduction
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393. Geometrical Theory of Dynamical Systems
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394. Geometry of Four Dimensions
       Parker Manning Henry | The MacMillan Company
       Published in 1914, 378 pages

395. Probability Theory
       S. R. S. Varadhan | New York University
       Published in 2000

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

397. Linear Partial Differential Equations and Fourier Theory
       Marcus Pivato | Cambridge University Press
       Published in 2005, 619 pages

398. Analytic Number Theory
       Giuseppe Rauti | viXra
       Published in 2013, 96 pages

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

400. forall x: An Introduction to Formal Logic
       P.D. Magnus |
       Published in 2008, 160 pages

401. Mathematics for Algorithm and Systems Analysis
       Edward A. Bender, S. Gill Williamson | Dover Publications
       Published in 2005, 256 pages

402. The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres
       Paul Goerss | Northwestern University
       Published in 2007, 47 pages

403. Algebraic Groups, Lie Groups, and their Arithmetic Subgroups
       J. S. Milne |
       Published in 2010, 383 pages

404. Statistical Theory
       Rachel Fewster | University of Auckland
       Published in 2009, 199 pages

405. Valuations and Hyperbolicity in Dynamics
       Thomas Ward | University of East Anglia
       Published in 2001, 58 pages

406. Calculus for Mathematicians, Computer Scientists, and Physicists
       Andrew D. Hwang | Holy Cross
       Published in 1998, 487 pages

407. Noncommutative Rings
       Michael Artin |
       Published in 1999, 103 pages

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

409. A History Of The Mathematical Theory Of Probability
       I. Todhunter | Kessinger Publishing, LLC
       Published in 2007, 640 pages

410. Current Topics in Complex Algebraic Geometry
       Herbert Clemens, János Kollár | Cambridge University Press
       Published in 1996, 172 pages

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

412. Theory of the Integral
       Stanislaw Saks | Polish Mathematical Society
       Published in 1937, 347 pages

413. New Directions in Hopf Algebras
       S. Montgomery, H. Schneider | Cambridge University Press
       Published in 2002, 485 pages

414. Linear Algebra
       Jim Hefferon |
       Published in 2008, 445 pages

415. The Mathemagician and Pied Puzzler: A Collection in Tribute to Martin Gardner
       Martin Gardner, at al. | AK Peters
       Published in 1999, 251 pages

416. Applied Finite Mathematics
       Rupinder Sekhon | Connexions
       Published in 2011, 347 pages

417. Group Theory
       J. S. Milne |
       Published in 2009, 127 pages

418. Linear Algebra: Theorems and Applications
       Hassan Abid Yasser (ed.) | InTech
       Published in 2012, 250 pages

419. The Haskell Road to Logic, Maths and Programming
       Kees Doets, Jan van Eijck | College Publications
       Published in 2004, 449 pages

420. Lectures on Some Aspects of p-Adic Analysis
       F. Bruhat | Tata Institute of Fundamental Research
       Published in 1963, 147 pages

421. Lecture Notes on Free Probability
       Vladislav Kargin | arXiv
       Published in 2013, 100 pages

422. Complex Dynamics and Renormalization
       Curtis T. McMullen | Princeton University Press
       Published in 1994, 219 pages

423. Complex Manifolds and Hermitian Differential Geometry
       Andrew D. Hwang | University of Toronto
       Published in 1997, 113 pages

424. A Gentle Introduction to Tensors
       Boaz Porat | Technion
       Published in 2010, 87 pages

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

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

427. Pluckings from the tree of Smarandache: Sequences and functions
       Charles Ashbacher | American Research Press
       Published in 1998, 80 pages

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

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

430. A Tangled Tale
       Lewis Carroll | Macmillan and Co.
       Published in 1885, 192 pages

431. An Introduction to Geometry
       Wong Yan Loi | National University of Singapore
       Published in 2009, 136 pages

432. Elementary Abstract Algebra
       W. Edwin Clark | University of South Florida
       Published in 2001, 105 pages

433. Vector Calculus: Course
       Peter Saveliev | Intelligent Perception
       Published in 2013

434. Calculus
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       Published in 2011, 456 pages

435. Abstract and Concrete Categories: The Joy of Cats
       Jiri Adamek, Horst Herrlich, George Strecker | John Wiley & Sons
       Published in 1990, 496 pages

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

437. Higher Mathematics for Engineers and Physicists
       Ivan S. Sokolnikoff | McGraw Hill
       Published in 1941, 537 pages

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

439. An Introduction to Algebraic Surgery
       Andrew Ranicki | arXiv
       Published in 2000, 82 pages

440. Symplectic Reflection Algebras
       Gwyn Bellamy | arXiv
       Published in 2012, 64 pages

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

442. Music: A Mathematical Offering
       Dave Benson | Cambridge University Press
       Published in 2006, 530 pages

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

444. Varieties of Lattices
       Peter Jipsen, Henry Rose | Springer
       Published in 1992, 168 pages

445. Numerical Methods for Large Eigenvalue Problems
       Yousef Saad | SIAM
       Published in 2011, 285 pages

446. The First Six Books of the Elements of Euclid
       John Casey, Euclid | Longmans, Green, and Co.
       Published in 1885, 233 pages

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

448. Lectures on Field Theory and Ramification Theory
       Sudhir R. Ghorpade | Indian Institute of Technology, Bombay
       Published in 2008, 36 pages

449. Applied Probability
       Paul E Pfeiffer | Connexions
       Published in 2008, 634 pages

450. An Introduction to Mathematics
       A. N. Whitehead | Williams & Northgate
       Published in 1911, 274 pages

451. Discrete Differential Geometry: An Applied Introduction
       M. Desbrun, P. Schroeder, M. Wardetzky | Columbia University
       Published in 2008, 103 pages

452. Elementary Computer Mathematics
       Kenneth R. Koehler | University of Cincinnati Blue Ash College
       Published in 2002

453. Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory
       R. Fenn, D.P. Ilyutko, L.H. Kauffman, V.O. Manturov | arXiv
       Published in 2014, 66 pages

454. Algorithmic Algebra
       Bhubaneswar Mishra | Courant Institute of Mathematical Sciences
       Published in 1993, 425 pages

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

456. Differential Topology
       C.T.C. Wall | University of Edinburgh
       Published in 1961, 207 pages

457. Notes on Linear Algebra
       Peter J. Cameron | Queen Mary, University of London
       Published in 2008, 124 pages

458. An Introduction to Riemannian Geometry
       Sigmundur Gudmundsson | Lund University
       Published in 2010, 106 pages

459. Combinatorial Optimization: Exact and Approximate Algorithms
       Luca Trevisan | Stanford University
       Published in 2011, 139 pages

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

461. Ten British Mathematicians
       Alexander Macfarlane |
       Published in 1916, 108 pages

462. Proofs and Concepts: the fundamentals of abstract mathematics
       Dave Witte Morris, Joy Morris | University of Lethbridge
       Published in 2009, 220 pages

463. A Brief Introduction to the Infinitesimal Calculus
       Irving Fisher | Macmillan
       Published in 1921, 110 pages

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

465. An Introduction to Mathematical Logic
       Wolfram Pohlers, Thomas Glass |
       Published in 1992, 229 pages

466. CK-12 Algebra I
       Andrew Gloag, Anne Gloag | CK-12 Foundation
       Published in 2010, 825 pages

467. A First Book in Algebra
       Wallace C. Boyden | Project Gutenberg
       Published in 2004, 189 pages

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

469. Concepts of Calculus
       Christopher Cooper | Macquarie University
       Published in 2008

470. Lectures On Galois Cohomology of Classical Groups
       M. Kneser | Tata Institute of Fundamental Research
       Published in 1969, 212 pages

471. Pseudodifferential Operators and Nonlinear PDE
       Michael E. Taylor | Birkhäuser Boston
       Published in 1991, 202 pages

472. Notes on Differential Equations
       Bob Terrell |
       Published in 2005, 99 pages

473. A Concise Course in Algebraic Topology
       J. P. May | University Of Chicago Press
       Published in 1999, 251 pages

474. The Axioms Of Descriptive Geometry
       Alfred North Whitehead | Cambridge University Press
       Published in 1914, 96 pages

475. Lectures on Elliptic Partial Differential Equations
       J.L. Lions | Tata Institute of Fundamental Research
       Published in 1957, 121 pages

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

477. Higher Operads, Higher Categories
       Tom Leinster | arXiv
       Published in 2003, 410 pages

478. Complex Analysis
       George Cain |
       Published in 2001

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

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

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

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

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

484. Differential Geometry
       Balazs Csikos | Eötvös Loránd University
       Published in 2010

485. Riemann Surfaces, Dynamics and Geometry
       Curtis McMullen | Harvard University
       Published in 2008, 167 pages

486. Mathematical Biology
       Je ffrey R. Chasnov | The Hong Kong University of Science & Technology
       Published in 2010, 115 pages

487. Fundamentals of Model Theory
       William Weiss, Cherie D'Mello | University of Toronto
       Published in 1997, 64 pages

488. Notes on Symmetric Spaces
       Jonathan Holland, Bogdan Ion | arXiv
       Published in 2012, 109 pages

489. Numerical Recipes in Fortran 90
       William H. Press, at al. | Cambridge University Press
       Published in 1996, 500 pages

490. Projective Differential Geometry Old and New
       V. Ovsienko, S. Tabachnikov | Cambridge University Press
       Published in 2004, 281 pages

491. A Second Course in Logic
       Christopher Gauker | University of Cincinnati
       Published in 2010, 166 pages

492. Lectures on Lie Groups and Representations of Locally Compact Groups
       F. Bruhat | Tata Institute of Fundamental Research
       Published in 1958, 140 pages

493. Higher Topos Theory
       Jacob Lurie | Princeton University Press
       Published in 2009, 943 pages

494. Fundamental Concepts of Mathematics
       Farshid Hajir | University of Massachusetts
       Published in 2005, 69 pages

495. Diffeomorphisms of Elliptic 3-Manifolds
       S. Hong, J. Kalliongis, D. McCullough, J. H. Rubinstein | arXiv
       Published in 2011, 185 pages

496. An introductory course in differential geometry and the Atiyah-Singer index theorem
       Paul Loya | Binghamton University
       Published in 2005, 137 pages

497. CK-12 Geometry
       V. Cifarelli, A. Gloag, D. Greenberg, J. Sconyers, B. Zahner | CK-12 Foundation
       Published in 2009, 810 pages

498. Computer Algebra, Algorithms, Systems and Applications
       Richard Liska, at al. | Czech Technical University
       Published in 1996

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

500. Arithmetic for Engineers
       Charles B. Clapham | Chapman & Hall
       Published in 1925, 526 pages

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