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. Radically Elementary Probability Theory
       Edward Nelson | Princeton University Press
       Published in 1987, 111 pages

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

003. A Practical Guide to Robust Optimization
       Bram L. Gorissen, Ihsan Yanıkoğlu, Dick den Hertog | arXiv
       Published in 2015, 29 pages

004. Mathematical Linguistics
       Andras Kornai | Springer
       Published in 2010, 300 pages

005. Elementary Geometry: Practical and Theoretical
       C. Godfrey, A. W. Siddons | Cambridge University Press
       Published in 1919, 438 pages

006. Unfolding the Labyrinth: Open Problems in Mathematics, Physics, Astrophysics, and Other Areas of Science
       Florentin Smarandache, at al. | arXiv
       Published in 2006, 139 pages

007. Periodic Solutions for Evolution Equations
       Mihai Bostan | American Mathematical Society
       Published in 2002, 41 pages

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

009. Lectures on Fundamental Concepts of Algebra and Geometry
       John Wesley Young | Macmillan and co.
       Published in 1917, 264 pages

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

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

012. Introduction to Topological Groups
       Dikran Dikranjan | UCM
       Published in 2007, 69 pages

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

014. A Philosophical Essay on Probabilities
       Pierre Simon Laplace | Chapman & Hall
       Published in 1902, 234 pages

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

016. Notes on Optimization
       Pravin Varaiya | Van Nostrand
       Published in 1972, 140 pages

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

018. A Quick Review of Commutative Algebra
       Sudhir R. Ghorpade | Indian Institute of Technology, Bombay
       Published in 2000, 13 pages

019. Functional Analysis
       Feng Tian, Palle E.T. Jorgensen | arXiv
       Published in 2010, 98 pages

020. Languages and Machines
       C. D. H. Cooper | Macquarie University
       Published in 2008

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

022. Design, Evaluation and Analysis of Combinatorial Optimization Heuristic Algorithms
       Daniel Karapetyan | arXiv
       Published in 2012, 202 pages

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

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

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

026. An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics
       William Elwood Byerly | Ginn and company
       Published in 1893, 309 pages

027. Introduction to Dynamical Systems: A Hands-on Approach with Maxima
       Jaime E. Villate |
       Published in 2006, 43 pages

028. Linear Elliptic Equations of Second Order
       Erich Miersemann | Leipzig University
       Published in 2012, 87 pages

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

030. Proofs and Types
       J. Girard, Y. Lafont, P. Taylor | Cambridge University Press
       Published in 1989, 183 pages

031. Topics in Real and Functional Analysis
       Gerald Teschl | Universitaet Wien
       Published in 2016, 486 pages

032. The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds
       A.A. Ranicki, et al, | Springer
       Published in 1996, 194 pages

033. On 2D Inverse Problems
        | Wikibooks
       Published in 2013

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

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

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

037. Lectures on The Finite Element Method
       Ph. Ciarlet | Tata Institute of Fundamental Research
       Published in 1975, 145 pages

038. Global Theory Of Minimal Surfaces
       David Hoffman | American Mathematical Society
       Published in 2005, 808 pages

039. A Course of Pure Geometry: Properties of the Conic Sections
       E.H. Askwith | Cambridge University Press
       Published in 1917, 314 pages

040. Lectures on Stratification of Complex Analytic Sets
       M.-H. Schwartz | Tata Institute of Fundamental Research
       Published in 1966, 67 pages

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

042. Theory of functions of a real variable
       Shlomo Sternberg |
       Published in 2005, 393 pages

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

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

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

046. An Introduction to Higher Mathematics
       Patrick Keef, David Guichard, Russ Gordon | Whitman College
       Published in 2010, 144 pages

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

048. Mathematical Computation
       Ian Craw | University of Aberdeen
       Published in 2003, 156 pages

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

050. SPSS: Stats Practically Short and Simple
       Sidney Tyrrell | BookBoon
       Published in 2009, 83 pages

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

052. First Steps in Numerical Analysis
       R. Hosking, S. Joe, D. Joyce, and J. Turner |
       Published in 1998

053. Descriptive Set Theory
       David Marker | University of Illinois at Chicago
       Published in 2002, 105 pages

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

055. Nonlinear Partial Differential Equations of Elliptic Type
       Vicentiu Radulescu | arXiv
       Published in 2005, 114 pages

056. Discrete Optimization
       Guido Schaefer | Utrecht University
       Published in 2012, 97 pages

057. Geometry and Group Theory
       Christopher Pope | Texas A&M University
       Published in 2008, 181 pages

058. Logic for Computer Science
       Jean H. Gallier | Longman Higher Education
       Published in 1986, 528 pages

059. Algebraic Tools for Modal Logic
       Mai Gehrke, Yde Venema | ESSLLI
       Published in 2001, 109 pages

060. Lecture Notes on Differentiable Manifolds
       Jie Wu | National University of Singapore
       Published in 2004, 78 pages

061. Universal Optimization and Its Application
       Alexander Bolonkin | viXra.org
       Published in 2017, 161 pages

062. Elementary Linear Algebra
       Kenneth Kuttler | The Saylor Foundation
       Published in 2012, 433 pages

063. Stochastic Analysis - Notes
       I. F. Wilde |
       Published in 2009, 103 pages

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

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

066. Exterior Differential Systems and Euler-Lagrange Partial Differential Equations
       R. Bryant, P. Griffiths, D. Grossman | University Of Chicago Press
       Published in 2008, 219 pages

067. A Course Of Mathematical Analysis
       Shanti Narayan | S.Chand And Company
       Published in 1962, 494 pages

068. Notes on Noncommutative Geometry
       Igor Nikolaev | arXiv
       Published in 2015, 309 pages

069. Dynamical Systems: Analytical and Computational Techniques
       Mahmut Reyhanoglu | InTech
       Published in 2017, 272 pages

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

071. Group Characters, Symmetric Functions, and the Hecke Algebra
       David M. Goldschmidt | American Mathematical Society
       Published in 1993, 73 pages

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

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

074. A set of new Smarandache functions, sequences and conjectures in number theory
       Felice Russo | American Research Press
       Published in 2000, 114 pages

075. A Course In Algebraic Number Theory
       Robert B. Ash | University of Illinois
       Published in 2003

076. A First Course in Complex Analysis
       Matthias Beck, Gerald Marchesi, Dennis Pixton | San Francisco State University
       Published in 2007, 110 pages

077. Dynamics, Ergodic Theory, and Geometry
       Boris Hasselblatt | Cambridge University Press
       Published in 2007, 334 pages

078. Introduction to Graphs
        | Wikipedia
       Published in 2014

079. A Gentle Introduction to Category Theory: the calculational approach
       Maarten M. Fokkinga |
       Published in 1994, 80 pages

080. Mathematics for Technical Schools
       J.M. Warren, W.H. Rutherford | Copp, Clark
       Published in 1921, 356 pages

081. Introduction to Modal Logic
       Gary Hardegree | UMass Amherst
       Published in 2009, 275 pages

082. Mathematical Methods
       Mihir Sen, Joseph M. Powers | University of Notre Dame
       Published in 2010, 432 pages

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

084. Notes on Automorphic Functions
       Anders Thorup | Kobenhavns Universitet
       Published in 1995, 186 pages

085. Essentials of Statistics
       David Brink | BookBoon
       Published in 2008, 102 pages

086. Lectures on Random Polymers
       F. Caravenna, F. den Hollander, N. Petrelis | arXiv
       Published in 2011, 74 pages

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

088. Second-order Ordinary Differential Equations
       R.S. Johnson | Bookboon
       Published in 2012, 181 pages

089. College Algebra
       Paul Dawkins | Lamar University
       Published in 2011, 352 pages

090. A Second Semester of Linear Algebra
       S. E. Payne | University of Colorado Denver
       Published in 2009, 236 pages

091. Calculus 1: Course
       Peter Saveliev | Intelligent Perception
       Published in 2010

092. The Elements of the Theory of Algebraic Numbers
       Legh Wilber Reid | The Macmillan company
       Published in 1910, 488 pages

093. Lectures on Calabi-Yau and Special Lagrangian Geometry
       Dominic Joyce | arXiv
       Published in 2002, 58 pages

094. Grassmann Algebra
       John Browne |
       Published in 2001, 238 pages

095. Algebra: A Computational Introduction
       John Scherk | Chapman & Hall
       Published in 2000, 419 pages

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

097. An Introductory Course Of Mathematical Analysis
       Charles Walmsley | Cambridge University Press
       Published in 1920, 268 pages

098. Notes on the Science of Logic
       Nuel Belnap | University of Pittsburgh
       Published in 2009, 227 pages

099. A Semester Course in Trigonometry
       Marcel B. Finan | Arkansas Tech University
       Published in 2003, 264 pages

100. Combinatorial Group Theory
       Charles F. Miller III | University of Melbourne
       Published in 2004, 99 pages

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

102. Mathematical Essays and Recreations
       Hermann Schubert | The Open Court Publishing
       Published in 1898, 159 pages

103. Linear Algebra
       David Cherney, Tom Denton, Andrew Waldron | UC Davis
       Published in 2013, 410 pages

104. Lectures on An Introduction to Grothendieck's Theory of the Fundamental Group
       J.P. Murre | Tata Institute of Fundamental Research
       Published in 1967, 143 pages

105. Groups as Graphs
       W. B. V. Kandasamy, F. Smarandache | CuArt
       Published in 2009, 170 pages

106. Introduction to Numerical Methods
       Jeffrey R. Chasnov | The Hong Kong University
       Published in 2012, 63 pages

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

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

109. Modern Algebraic Topology
       D. G. Bourgin | Macmillan
       Published in 1963, 544 pages

110. An Introduction to the Lie Theory of One-Parameter Groups
       Abraham Cohen | D.C. Heath & co
       Published in 1911, 276 pages

111. Linear Algebra Examples C-1: Linear equations, matrices and determinants
       Leif Mejlbro | BookBoon
       Published in 2009, 113 pages

112. Introduction to the Galois Theory of Linear Differential Equations
       Michael F. Singer | arXiv
       Published in 2008, 83 pages

113. Advances in Graph Algorithms
       Ton Kloks, Yue-Li Wang | viXra.org
       Published in 2013, 178 pages

114. Blast Into Math!
       Julie Rowlett | BookBoon
       Published in 2013, 215 pages

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

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

117. Statistics
       Philip B. Stark | University of California, Berkeley
       Published in 2011

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

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

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

121. Chebyshev and Fourier Spectral Methods
       John P. Boyd | Dover Publications
       Published in 2001, 611 pages

122. Mathematical Methods for Economic Theory: a tutorial
       Martin J. Osborne | University of Toronto
       Published in 2007, 301 pages

123. Introduction to Lebesgue Integration
       W W L Chen | Macquarie University
       Published in 1996

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

125. Ends of Complexes
       Bruce Hughes, Andrew Ranicki | Cambridge University Press
       Published in 2008, 375 pages

126. Applied Linear Algebra in Action
       Vasilios N. Katsikis | InTech
       Published in 2016, 172 pages

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

128. Algebra for Beginners
       James Loudon | Copp, Clark & Co
       Published in 1876, 172 pages

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

130. Partial Differential Equations
       Erich Miersemann | Leipzig University
       Published in 2012, 205 pages

131. H2 Mathematics Textbook
       Yan Min Choo |
       Published in 2016, 1384 pages

132. Introduction to Probability
       Davar Khoshnevisan, Firas Rassoul-Agha | University of Utah
       Published in 2012, 269 pages

133. Galois Groups and Fundamental Groups
       Leila Schneps | Cambridge University Press
       Published in 2003, 467 pages

134. Homological Methods in Noncommutative Geometry
       D. Kaledin |
       Published in 2008, 77 pages

135. Abelian Varieties
       J. S. Milne |
       Published in 2008, 172 pages

136. A Primer on Homotopy Colimits
       Daniel Dugger | University of Oregon
       Published in 2008, 72 pages

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

138. Applied Statistics
       Mohammed A. Shayib | Bookboon
       Published in 2013, 300 pages

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

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

141. Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
       N.P. Landsman | arXiv
       Published in 1998, 90 pages

142. Fundamentals of Linear Algebra
       Marcel B. Finan | Arkansas Tech University
       Published in 2001, 196 pages

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

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

145. Fundamentals of Analysis
       W W L Chen | Macquarie University
       Published in 2008, 152 pages

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

147. Elementary Trigonometry
       W. E. Paterson | Clarendon Press
       Published in 1911, 213 pages

148. Elementary Number Theory
       W W L Chen | Macquarie University
       Published in 2003, 98 pages

149. Lectures on Representations of Complex Semi-Simple Lie Groups
       Thomas J. Enright | Tata Institute of Fundamental Research
       Published in 1981, 94 pages

150. Elementary Linear Algebra
       Keith Matthews | University of Queensland
       Published in 1998, 302 pages

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

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

153. Think Stats: Probability and Statistics for Programmers
       Allen B. Downey | Green Tea Press
       Published in 2011, 122 pages

154. Symbolic Logic
       Lewis Carroll | Macmillan and co
       Published in 1897

155. A First Course in Ordinary Differential Equations
       Norbert Euler | Bookboon
       Published in 2015, 232 pages

156. Riemannian Geometry
       Luther Pfahler Eisenhart | Princeton University Press
       Published in 1968, 316 pages

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

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

159. A Mathematics Primer for Physics Graduate Students
       Andrew E. Blechman |
       Published in 2007, 78 pages

160. Calculus of Differential Forms: Course
       Peter Saveliev | Intelligent Perception
       Published in 2013

161. A Modern Course on Curves and Surfaces
       Richard S. Palais | virtualmathmuseum.org
       Published in 2003, 163 pages

162. Integral Calculus
       Leah Edelstein-Keshet | University of British Columbia
       Published in 2010, 267 pages

163. Stability Analysis via Matrix Functions Method
       A. A. Martynyuk | Bookboon
       Published in 2013, 257 pages

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

165. Lectures on Discrete Subgroups of Lie Groups
       G.D. Mostow | Tata Institute of Fundamental Research
       Published in 1969, 86 pages

166. An Introduction to the Theory of Numbers
       Leo Moser | The Trillia Group
       Published in 2007, 95 pages

167. Modern Geometry
       Robert Sharpley | University of South Carolina
       Published in 2008, 230 pages

168. Markov Chains and Stochastic Stability
       S.P. Meyn, R.L. Tweedie | Springer
       Published in 2005, 567 pages

169. Enumerative Combinatorics: Volume 1
       Richard P. Stanley | MIT
       Published in 2011, 725 pages

170. Notes on Differential Geometry
       Noel J. Hicks | Van Nostrand
       Published in 1965, 183 pages

171. Real Numbers and Fascinating Fractions
       N. M. Beskin |
       Published in 1986

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

173. Vector Analysis
       Gibbs, J. Willard | Yale University Press
       Published in 1929, 432 pages

174. Engineering Mathematics with Tables
       M.A. Keasey, G.A. Kline, D.A. McIlhatten | The Blakiston company
       Published in 1940, 376 pages

175. Topology and Physics: A Historical Essay
       C. Nash | arXiv
       Published in 1997, 60 pages

176. Digraphs: Theory, Algorithms and Applications
       Jorgen Bang-Jensen, Gregory Gutin | Springer
       Published in 2002, 772 pages

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

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

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

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

181. 18 Lectures on K-Theory
       Ioannis P. Zois | arXiv
       Published in 2010, 137 pages

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

183. Street-Fighting Mathematics
       Sanjoy Mahajan | The MIT Press
       Published in 2010, 153 pages

184. Commutative Algebra
       Jacob Lurie, Akhil Mathew | Harvard University
       Published in 2010, 172 pages

185. Undergraduate Analysis Tools
       Bruce K. Driver | University of California, San Diego
       Published in 2013, 186 pages

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

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

188. Active Calculus
       Matt Boelkins | Grand Valley State University
       Published in 2013, 525 pages

189. Fractional Dynamics
       Carlo Cattani, et al. | De Gruyter Open Ltd
       Published in 2016, 408 pages

190. Introduction to Categories and Categorical Logic
       Samson Abramsky, Nikos Tzevelekos | arXiv
       Published in 2011, 101 pages

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

192. Introduction to Algebraic Number Theory
       William Stein | University of Washington
       Published in 2005, 140 pages

193. Virtual Polyhedra: The Encyclopedia of Polyhedra
       George W. Hart |
       Published in 2000

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

195. History of Modern Mathematics
       David Eugene Smith | Columbia University
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199. A Gentle Introduction to the Art of Mathematics
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209. Linearization via the Lie Derivative
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210. Art Gallery Theorems and Algorithms
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221. A Summary of Calculus
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255. Notes on Differential Geometry and Lie Groups
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256. Introduction to Probability Theory and Statistics for Linguistics
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260. Strange Attractors: Creating Patterns in Chaos
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261. Encyclopedia of Dynamical Systems
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268. A Computational Introduction to Number Theory and Algebra
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271. The Theory of Matrices
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275. Mathematical Methods of Engineering Analysis
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282. Partial Differential Equations for Finance
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283. Combinatorial Maps: Tutorial
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284. A First Course in Topology: Continuity and Dimension
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285. Algorithmic Mathematics
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288. Mathematical Logic
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289. Derivations of Applied Mathematics
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293. Jordan Operator Algebras
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294. A History Of The Mathematical Theory Of Probability
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296. Notes on Classical Groups
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298. Algebraic Groups, Lie Groups, and their Arithmetic Subgroups
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299. Interacting Particle Systems
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300. Categories and Modules
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301. Euclid's Elements
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302. Complex Multiplication
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303. Practical Mathematics for Beginners
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305. Lectures on Symplectic Geometry
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306. Special Fuzzy Matrices for Social Scientists
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308. Mathematical Illustrations: A Manual of Geometry and PostScript
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309. A Spiral Workbook for Discrete Mathematics
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310. Algebraic and Geometric Surgery
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311. Discrete Mathematics with Algorithms
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312. An Introduction to the Algebra of Quantics
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313. Introduction to Vectors and Tensors Volume 2: Vector and Tensor Analysis
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314. Lectures on Differential Geometry
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315. Theoretic Arithmetic
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316. An Introduction to Real Analysis
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317. A Short Course on Approximation Theory
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318. Essentials of Statistics: Exercises
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319. Differential Geometry: Lecture Notes
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320. Cusps of Gauss Mappings
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322. Introduction to Algebraic Geometry
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323. An Infinitely Large Napkin
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324. Armstrong Calculus
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325. Plane Trigonometry and Numerical Computation
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326. Introduction to Symplectic Field Theory
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327. Several Complex Variables
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328. The Calculus Integral
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329. Surreal Numbers: An Introduction
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330. A Primer of Commutative Algebra
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331. The Contraction Mapping Principle and Some Applications
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333. Fundamental Numerical Methods and Data Analysis
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334. CK-12 Single Variable Calculus
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335. Combinatorial Geometry with Application to Field Theory
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336. Introduction to Partial Differential Equations
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337. Practical Trigonometry
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338. College Algebra
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339. Linear Algebra
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340. Sets, Groups and Knots
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341. Advanced Stochastic Processes
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342. Basic Category Theory
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343. Applied Nonparametric Regression
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344. Advanced High-School Mathematics
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345. Lectures On Approximation By Polynomials
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346. Lectures on Deformations of Singularities
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347. Lectures on Forms of Higher Degree
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348. Axiomatic Set Theory
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349. Smooth Numbers: Computational Number Theory and Beyond
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350. Combinatorial Optimization: Exact and Approximate Algorithms
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351. forall x: An Introduction to Formal Logic
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352. Mathematics and Music
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353. Handbook of Modal Logic
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354. Hopf Algebras in General and in Combinatorial Physics: a practical introduction
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355. Basics of Algebra and Analysis For Computer Science
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356. Algebraic Topology
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357. A Second Course in Mathematics Concepts for Elementary Teachers
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358. Advanced Calculus and Analysis
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359. Current Developments in Algebraic Geometry
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360. Mathematical Statistics
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361. A Reform Approach to Business Calculus
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362. Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Forms
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363. A Probability Course for the Actuaries
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364. Introduction to Statistical Thinking
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365. Abstract Algebra for Polynomial Operations
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366. Holomorphic Spaces
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367. An Introduction to Asymptotic Analysis
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368. Computer Algebra, Algorithms, Systems and Applications
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369. Theory and Applications of Finite Groups
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370. Floer Homology, Gauge Theory, and Low Dimensional Topology
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371. Isabelle/HOL: A Proof Assistant for Higher-Order Logic
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372. Introduction to Proof Theory
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373. Transmutations and Applications: a survey
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374. Introduction to Representation Theory
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375. Calculus with Analytic Geometry
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376. CK-12 Trigonometry
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377. A First Course in Elementary Differential Equations
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378. Mathematical Tools for Physics
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379. Functional Analysis Lecture Notes
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380. Notes on Operator Algebras
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381. Supplementary Algebra
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382. Geometric Topology: Localization, Periodicity and Galois Symmetry
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383. Notes on the course Algebraic Topology
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384. Handbook of Mathematics for Engineers
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385. Elements of Abstract and Linear Algebra
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386. Intersection Graphs: An Introduction
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387. Riemann Surfaces, Dynamics and Geometry
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388. A Review of Algebra
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389. Notes on Basic 3-Manifold Topology
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390. Numerical Analysis for Engineering
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391. Special Functions, a Review
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392. A Second Course in Elementary Ordinary Differential Equations
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393. Graphical Calculus
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394. Elementary Mathematical Analysis
       J.W. Young, F.M. Morgan | The Macmillan Company
       Published in 1917, 586 pages

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

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

397. The Theory of Numbers
       R. D. Carmichael | John Wiley & Sons
       Published in 1914, 85 pages

398. Applied Mathematical Programming Using Algebraic Systems
       Bruce A. McCarl, Thomas H. Spreen | Texas A&M University
       Published in 2011, 567 pages

399. Problems in Mathematical Analysis
       B. P. Demidovich | MIR Publishers
       , 511 pages

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

401. Introduction to Functional Analysis
       Vladimir V. Kisil | University of Leeds
       Published in 2010, 111 pages

402. A First Course in Linear Algebra
       Ken Kuttler | Lyryx
       Published in 2014, 424 pages

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

404. An Introduction to Riemannian Geometry with Applications to Mechanics and Relativity
       Leonor Godinho, Jose Natario |
       Published in 2004, 272 pages

405. Engineering Statistics and Quality Control
       Irving W. Burr | McGraw-Hill
       Published in 1953

406. Robust Optimization
       A. Ben-Tal, L. El Ghaoui, A. Nemirovski | Princeton University Press
       Published in 2009, 564 pages

407. A Cultural Paradox: Fun in Mathematics
       Jeff Zilahy | Feedbooks
       Published in 2010, 75 pages

408. Tilings and Patterns
       E O Harriss | Mathematicians.org.uk
       Published in 2008, 43 pages

409. Categorical Geometry
       Zhaohua Luo |
       Published in 1998

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

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

412. Advanced High School Statistics
       David M Diez, et al. | OpenIntro
       Published in 2017, 458 pages

413. Geometry and Topology
       Christopher Cooper | Macquarie University
       Published in 2008

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

415. The Elements of Non-Euclidean Plane Geometry and Trigonometry
       Horatio Scott Carslaw | Longmans, Green and co.
       Published in 1916, 202 pages

416. Notes on Measure and Integration
       John Franks | arXiv
       Published in 2009, 118 pages

417. Calculus
       Benjamin Crowell |
       Published in 2007, 138 pages

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

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

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

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

422. Functions Modeling Change: A Precalculus Course
       Marcel B. Finan | Arkansas Tech University
       Published in 2003, 239 pages

423. Local Theory of Holomorphic Foliations and Vector Fields
       Julio C. Rebelo, Helena Reis | arXiv
       Published in 2011, 115 pages

424. The Solution of the Pyramid Problem
       Robert Ballard | John Wiley & Sons Ltd.
       Published in 1882, 109 pages

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

426. Fractional Graph Theory: A Rational Approach to the Theory of Graphs
       Daniel Ullman, Edward Scheinerman | Wiley
       Published in 2008, 167 pages

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

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

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

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

431. A First Course In Mathematical Statistics
       C.E. Weatherburn | Cambridge University Press
       Published in 1961, 302 pages

432. CK-12 Algebra I
       Andrew Gloag, Anne Gloag | CK-12 Basic Algebra Concepts
       Published in 2010, 825 pages

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

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

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

436. Practical Mathematics
       Cargill Gilston Knott | Chambers
       Published in 1914, 652 pages

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

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

439. Implementing Mathematics with The Nuprl Proof Development System
       R. L. Constable, at al. | Prentice Hall
       Published in 1986

440. Lectures on Moduli of Curves
       D. Gieseker | Tata Institute of Fundamental Research
       Published in 1982, 88 pages

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

442. Analytic Number Theory: A Tribute to Gauss and Dirichlet
       William Duke, Yuri Tschinkel | American Mathematical Society
       Published in 2007, 266 pages

443. Modular Forms, Hecke Operators, and Modular Abelian Varieties
       Kenneth A. Ribet, William A. Stein | University of Washington
       Published in 2003, 154 pages

444. The Canterbury Puzzles and Other Curious Problems
       Henry Ernest Dudeney | Nelson
       Published in 1919, 257 pages

445. Scientific Computing
       Jeffrey R. Chasnov | Harvey Mudd College
       Published in 2013, 152 pages

446. Lectures on Singular Stochastic PDEs
       M. Gubinelli, N. Perkowski | arXiv
       Published in 2015, 67 pages

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

448. Introductory Statistics: Concepts, Models, and Applications
       David W. Stockburger | Missouri State University
       Published in 1996

449. Calculus II
       Paul Dawkins | Lamar University
       Published in 2011, 380 pages

450. Fourier Series and Systems of Differential Equations and Eigenvalue Problems
       Leif Mejlbro | BookBoon
       Published in 2007, 125 pages

451. Arimaa
        | Wikibooks
       Published in 2011

452. Notes on Galois Theory
       Mark Reeder | Boston College
       Published in 2012, 66 pages

453. Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations
       Lloyd N. Trefethen | Cornell University
       Published in 1996

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

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

456. Introduction to Real Analysis
       Lee Larson | University of Louisville
       Published in 2014, 184 pages

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

458. Introduction to Topology
       Alex Kuronya |
       Published in 2010, 102 pages

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

460. A Concise Introduction to Mathematical Logic
       Wolfgang Rautenberg | Springer
       Published in 2009, 131 pages

461. Graduate Algebra
       Leonard Evens | Northwestern University
       Published in 1999, 160 pages

462. Bernoulli Polynomials and Applications
       Omran Kouba | arXiv
       Published in 2013, 48 pages

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

464. Immersive Linear Algebra
       J. Strom, K. Astrom, T. Akenine-Moller | immersivemath
       Published in 2017, 205 pages

465. Lectures on Fibre Bundles and Differential Geometry
       J.L. Koszul | Tata Institute of Fundamental Research
       Published in 1960, 105 pages

466. Diophantine Analysis
       R. D. Carmichael | John Wiley & Sons
       Published in 1915, 120 pages

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

468. APEX Calculus
       Gregory Hartman, et al. | APEXcalculus.com
       Published in 2015, 874 pages

469. A Course Of Differential Geometry
       John Edward Campbell | Clarendon Press
       Published in 1926, 288 pages

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

471. Category Theory
        | Wikibooks
       Published in 2010

472. Integral Operators
       Leif Mejlbro | BookBoon
       Published in 2009, 66 pages

473. Vector Analysis Notes
       Matthew Hutton | matthewhutton.com
       Published in 2006, 63 pages

474. Differential Topology and Morse Theory
       Dirk Schuetz | University of Sheffield
       Published in 2009, 96 pages

475. Lectures on Numerical Methods in Bifurcation Problems
       H.B. Keller | Tata Institute Of Fundamental Research
       Published in 1986, 140 pages

476. A History of Mathematics
       Florian Cajori | The MacMillan Company
       Published in 1909, 556 pages

477. Differential and Integral Calculus
       Virgil Snyder | American book company
       Published in 1902, 348 pages

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

479. Trigonometry Notes
       Steven Sy | Michigan State University
       Published in 2008, 448 pages

480. Nonstandard Analysis
       J. Ponstein |
       Published in 2002, 147 pages

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

482. A Practical Arithmetic
       Frank Lincoln Stevens | C. Scribner's sons
       Published in 1910, 404 pages

483. Quantum Physics, Relativity, and Complex Spacetime
       Gerald Kaiser | University of Massachusetts at Lowell
       Published in 2003, 252 pages

484. Multivariable Calculus
       George Cain, James Herod |
       Published in 1997

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

486. Categories and Homological Algebra
       Pierre Schapira | UPMC
       Published in 2011, 125 pages

487. Differential Equations
       H. B. Phillips | John Wiley & Sons
       Published in 1922, 84 pages

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

489. Distribution of Prime Numbers
       W W L Chen | Macquarie University
       Published in 2003, 134 pages

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

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

492. Model Theory
       C. Ward Henson | University of South Carolina
       Published in 2010, 122 pages

493. What is Mathematics: Gödel's Theorem and Around
       Karlis Podnieks | University of Latvia
       Published in 2013, 239 pages

494. Geometry: From Ancient to Modern
       Wong Yan Loi | National University of Singapore
       Published in 1999, 52 pages

495. An Introduction to Lie Group Integrators
       E. Celledoni, H. Marthinsen, B. Owren | arXiv
       Published in 2012, 28 pages

496. Complex Analysis
       George Cain |
       Published in 2001

497. Lectures on Lipschitz Analysis
       Juha Heinonen |
       Published in 2005, 77 pages

498. Smarandache Rings
       W. B. Vasantha Kandasamy | American Research Press
       Published in 2002, 222 pages

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

500. Lectures on Scattering Resonances
       Maciej Zworski | UC Berkeley
       Published in 2011, 127 pages

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