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. Basic Category Theory
       Jaap van Oosten | University of Utrecht
       Published in 2007, 88 pages

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

003. Category Theory for Scientists
       David I. Spivak | arXiv
       Published in 2013, 261 pages

004. Algebraic and Geometric Methods in Enumerative Combinatorics
       Federico Ardila | arXiv
       Published in 2014, 143 pages

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

006. Basic Linear Algebra
       Andrew Baker | University of Glasgow
       Published in 2008, 73 pages

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

008. Random Graphs and Complex Networks
       Remco van der Hofstad | Eindhoven University of Technology
       Published in 2010, 363 pages

009. Introduction to Algebraic Geometry
       Sudhir R. Ghorpade | Indian Institute of Technology Bombay
       Published in 2007, 20 pages

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

011. Model Theory, Algebra and Geometry
       D. Haskell, A. Pillay, C. Steinhorn | Cambridge University Press
       Published in 2000, 227 pages

012. Armstrong Calculus
       Jared Schlieper, Michael Tiemeyer | GALILEO, University System of Georgia
       Published in 2015, 110 pages

013. Algebraic and Geometric Topology
       Andrew Ranicki, Norman Levitt, Frank Quinn | Springer
       Published in 1985, 436 pages

014. On Some of Smarandache's Problems
       Krassimir Atanassov | Erhus Univ Pr
       Published in 1999, 89 pages

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

016. Quasi-Projective Moduli for Polarized Manifolds
       Eckart Viehweg | Springer
       Published in 1995, 326 pages

017. Lectures on Topics in Algebraic Number Theory
       Sudhir R. Ghorpade | Indian Institute of Technology, Bombay
       Published in 2002, 83 pages

018. Lectures on Modular Functions of One Complex Variable
       H. Maass | Tata institute of Fundamental Research
       Published in 1983, 242 pages

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

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

021. Beginning and Intermediate Algebra
       Tyler Wallace | Lulu.com
       Published in 2010, 489 pages

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

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

024. Geometric Wave Equations
       Stefan Waldmann | arXiv
       Published in 2012, 279 pages

025. Graphical Calculus
       Arthur Henry Barker | Longmans, Green, and Co.
       Published in 1896, 188 pages

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

027. Commutative Algebra
        | Wikibooks
       Published in 2016, 204 pages

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

029. Notes on Differential Geometry and Lie Groups
       Jean Gallier | University of Pennsylvania
       Published in 2010

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

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

032. Fundamentals of Practical Mathematics
       George Wentworth | Ginn and Co.
       Published in 1922, 220 pages

033. Algebraic Geometry over the Complex Numbers
       Donu Arapura | Purdue University
       Published in 2009, 234 pages

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

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

036. Algorithms for Modular Elliptic Curves
       J. E. Cremona | Cambridge University Press
       Published in 1992, 351 pages

037. Lectures on Topics In One-Parameter Bifurcation Problems
       P. Rabier | Tata Institute of Fundamental Research
       Published in 1985, 238 pages

038. Lectures on Numerical Methods for Non-Linear Variational Problems
       R. Glowinski | Tata Institute of Fundamental Research
       Published in 1980, 265 pages

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

040. Higher Elementary Geometry
       Venugopal |
       Published in 1958, 135 pages

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

042. Basic Analysis Gently Done: Topological Vector Spaces
       Ivan F. Wilde | King's College, London
       Published in 2010, 129 pages

043. Revealing Statistical Principles
       J.K. Lindsey | Hodder Education Publishers
       Published in 1999, 225 pages

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

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

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

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

048. The Calculus for Engineers
       John Perry | E. Arnold
       Published in 1897, 408 pages

049. Introduction to Differential Topology, de Rham Theory and Morse Theory
       Michael Muger | Radboud University
       Published in 2005, 80 pages

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

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

052. Semi-classical analysis
       Victor Guillemin, Shlomo Sternberg | Harvard University
       Published in 2012, 488 pages

053. A First Course in Linear Algebra: Study Guide for the Undergraduate Linear Algebra Course
       Mohammed Kaabar |
       Published in 2015, 130 pages

054. An Introductory Single Variable Real Analysis
       Marcel B. Finan | Arkansas Tech University
       Published in 2009, 179 pages

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

056. A Summary of Calculus
       Karl Heinz Dovermann | University of Hawaii
       Published in 2003, 164 pages

057. Monotone Dynamical Systems
       M.W. Hirsch, Hal Smith |
       Published in 2004, 136 pages

058. Logic for Computer Science
        | Wikibooks
       Published in 2010

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

060. Synchronization and Linearity: An Algebra for Discrete Event Systems
       F. Baccelli, G. Cohen, G. J. Olsder, J. Quadrat | John Wiley & Sons
       Published in 1993, 501 pages

061. Plane Geometry
       George Wentworth, David E. Smith | Ginn and Company
       Published in 1913, 304 pages

062. Frobenius Splitting in Commutative Algebra
       Karen E. Smith, Wenliang Zhang | arXiv
       Published in 2014, 53 pages

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

064. Discrete Mathematics
        | Wikibooks
       Published in 2012

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

066. A Geometric Approach to Differential Forms
       David Bachman | arXiv
       Published in 2003, 106 pages

067. Differential Calculus
       Pierre Schapira | Université Paris VI
       Published in 2011, 60 pages

068. Principles of Differential Geometry
       Taha Sochi | viXra
       Published in 2016, 161 pages

069. Elementary Functions and Applications
       Arthur Sullivan Gale, Charles William Watkeys | H. Holt & Co.
       Published in 1920, 459 pages

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

071. Introductory Mathematical Analysis
       W.P. Webber, L.C. Plant | John Wiley & sons
       Published in 1919, 332 pages

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

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

074. An Introductory Course in Elementary Number Theory
       Wissam Raji | The Saylor Foundation
       Published in 2013, 171 pages

075. Introduction to Fortran 95 and Numerical Computing
       Adrian Sandu | Virginia Tech
       Published in 2001, 215 pages

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

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

078. Hack, Hack, Who's There? A Gentle Introduction to Model Theory
       David Reid | Smashwords
       Published in 2016, 273 pages

079. The Pythagorean Theorem: Crown Jewel of Mathematics
       John C. Sparks | AuthorHouse
       Published in 2008, 190 pages

080. Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations
       K. Yosida | Tata Institute of Fundamental Research
       Published in 1957, 160 pages

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

082. Discrepancy Theory
       William Chen | Macquarie University
       Published in 2012, 99 pages

083. Probability Theory
       Curtis T. McMullen | Harvard University
       Published in 2011, 98 pages

084. A Course in Combinatorial Optimization
       Alexander Schrijver | University of Amsterdam
       Published in 2012, 221 pages

085. Formal Logic
        | Wikibooks
       Published in 2009

086. Semi-Riemann Geometry and General Relativity
       Shlomo Sternberg |
       Published in 2003, 251 pages

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

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

089. Synthetic Geometry of Manifolds
       Anders Kock | University of Aarhus
       Published in 2009, 314 pages

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

091. Calculus and Linear Algebra. Vol. 1
       Wilfred Kaplan, Donald J. Lewis | University of Michigan Library
       Published in 2007, 712 pages

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

093. Basic Concepts of Mathematics
       Elias Zakon | The Trillia Group
       Published in 2007, 208 pages

094. An Introduction to Semialgebraic Geometry
       Michel Coste | Universite de Rennes
       Published in 2002, 78 pages

095. Iterative Methods for Sparse Linear Systems
       Yousef Saad | PWS
       Published in 1996

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

097. An Introduction to the Algebra of Quantics
       E.B. Elliott | The Clarendon Press
       Published in 1913, 444 pages

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

099. Categorical Geometry
       Zhaohua Luo |
       Published in 1998

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

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

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

103. Algebraic L-theory and Topological Manifolds
       A. A. Ranicki | Cambridge University Press
       Published in 2011, 365 pages

104. Holonomy Groups in Riemannian Geometry
       Andrew Clarke, Bianca Santoro | arXiv
       Published in 2012, 124 pages

105. Lectures on Linear Algebra and Matrices
       G. Donald Allen | Texas A&M University
       Published in 2003, 238 pages

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

107. Topics in Geometry
       John O'Connor | University of St Andrews
       Published in 2003

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

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

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

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

112. Probability and Mathematical Statistics
       Prasanna Sahoo | University of Louisville
       Published in 2013, 712 pages

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

114. Language, Proof and Logic
       Jon Barwise, John Etchemendy | Center for the Study of Language
       Published in 2002, 598 pages

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

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

117. Introductory Maths for Chemists
       J. E. Parker | Bookboon
       Published in 2013, 136 pages

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

119. Operator Algebras and Quantum Statistical Mechanics
       Ola Bratteli, Derek W. Robinson | Springer
       Published in 2003, 505 pages

120. Partial Differential Equations with Maple
       Robert Piche, Keijo Ruohonen | Tampere University of Technology
       Published in 1997, 131 pages

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

122. A Computational Introduction to Number Theory and Algebra
       Victor Shoup | Cambridge University Press
       Published in 2005, 534 pages

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

124. Residuals and Influence in Regression
       R. Dennis Cook, Sanford Weisberg | Chapman & Hall
       Published in 1982, 240 pages

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

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

127. Smooth Numbers: Computational Number Theory and Beyond
       Andrew Granville | Universite de Montreal
       Published in 2008, 58 pages

128. Current Developments in Algebraic Geometry
       Lucia Caporaso, et al. | Cambridge University Press
       Published in 2012, 438 pages

129. Irrational Numbers and Their Representation by Sequences and Series
       Henry Parker Manning | J. Wiley & sons
       Published in 1906, 156 pages

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

131. Notes on Set Theory
       Michael Makkai | McGill University
       Published in 2000

132. Introduction to Non-Linear Algebra
       V. Dolotin, A. Morozov | arXiv
       Published in 2008, 141 pages

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

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

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

136. A Problem Text in Advanced Calculus
       John M. Erdman | Portland State University
       Published in 2008, 377 pages

137. Notes on Numerical Linear Algebra
       George Benthien |
       Published in 2006, 72 pages

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

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

140. Everything you wanted to know about Data Analysis and Fitting
       Peter Young | arXiv
       Published in 2012, 55 pages

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

142. Introduction to Stochastic Processes
       Gordan Žitković | The University of Texas at Austin
       Published in 2010, 107 pages

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

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

145. Topology
       David Wilkins | Trinity College, Dublin
       Published in 2001

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

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

148. Natural Topology
       Frank Waaldijk | arXiv
       Published in 2012, 174 pages

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

150. Advanced Geometry for High Schools: Synthetic and Analytical
       A.H. McDougall | Copp, Clark
       Published in 1919, 236 pages

151. Mathematical Analysis I
       Elias Zakon | The Trillia Group
       Published in 2004, 367 pages

152. Lectures on Cauchy Problem
       Sigeru Mizohata | Tata Institute of Fundamental Research
       Published in 1965, 191 pages

153. Just the Maths
       A. J. Hobson |
       Published in 2002, 1296 pages

154. A History of the Progress of the Calculus of Variations during the Nineteenth Century
       Isaac Todhunter | Adamant Media Corporation
       Published in 2005, 549 pages

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

156. Lectures on Statistics
       Robert B. Ash | University of Illinois
       Published in 2007

157. Temporal Networks
       Petter Holme, Jari Saramäki | arXiv
       Published in 2011, 25 pages

158. Spherical Trigonometry
       I. Todhunter | Macmillan and co
       Published in 1886, 189 pages

159. Markov Chains and Mixing Times
       D. A. Levin, Y. Peres, E. L. Wilmer | American Mathematical Society
       Published in 2008, 387 pages

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

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

162. Real Functions in One Variable: Calculus 1a
       Leif Mejlbro | BookBoon
       Published in 2006, 146 pages

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

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

165. Why the Boundary of a Round Drop Becomes a Curve of Order Four
       A. N. Varchenko, P. I. Etingof | American Mathematical Society
       Published in 1992, 72 pages

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

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

168. Abstract Algebra Done Concretely
       Donu Arapura | Purdue University
       Published in 2004, 103 pages

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

170. Lectures on Meromorphic Functions
       W.K. Hayman | Tata Institue of Fundamental Research
       Published in 1959, 119 pages

171. Introduction to the Theory of Infinite-Dimensional Dissipative Systems
       Constantin I. Chueshov | ACTA
       Published in 2002, 419 pages

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

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

174. The Mathemagician and Pied Puzzler: A Collection in Tribute to Martin Gardner
       Martin Gardner, at al. | AK Peters
       Published in 1999, 252 pages

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

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

177. Lectures on The Theory of Functions of Several Complex Variables
       B. Malgrange | Tata Institute of Fundamental Research
       Published in 1958, 138 pages

178. Symmetry and Separation of Variables
       Willard Miller | Addison-Wesley
       Published in 1977, 318 pages

179. Stacks Project
       Johan de Jong, et al. |
       Published in 2012, 3428 pages

180. Point-Set Topology: Course
       Peter Saveliev | Intelligent Perception
       Published in 2014

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

182. Linear Mathematics In Infinite Dimensions
       U. H. Gerlach | The Ohio State University
       Published in 2015, 507 pages

183. An Introduction to Mathematical Reasoning
       Peter J. Eccles | Cambridge University Press
       Published in 2007, 364 pages

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

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

186. Gauge Theory for Fiber Bundles
       Peter W. Michor | Universitaet Wien
       Published in 1991, 106 pages

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

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

189. A Tour of Triangle Geometry
       Paul Yiu | Florida Atlantic University
       Published in 2005, 52 pages

190. Algebraic Invariants
       Leonard E. Dickson | J. Wiley & Sons
       Published in 1914, 122 pages

191. Strange Attractors: Creating Patterns in Chaos
       Julien C. Sprott | M & T Books
       Published in 2000, 591 pages

192. Mathematical Methods for Physical Sciences II
       Christoph Kirsch | University of North Carolina
       Published in 2011, 209 pages

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

194. Class Field Theory
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207. Mathematical Computation
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208. Introduction to Probability Theory and Statistics for Linguistics
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209. Optimization Algorithms: Methods and Applications
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210. Statistics
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211. Higher-Dimensional Categories: an illustrated guide book
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212. Fundamentals of Mathematics
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213. Lectures on Harmonic Analysis
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216. Foundations of Descriptive and Inferential Statistics
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226. Flavors of Geometry
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232. Lectures on An Introduction to Grothendieck's Theory of the Fundamental Group
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247. An Introduction to Microlocal Analysis
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248. Lectures on Differential Geometry
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249. The Foundations of Analysis
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256. Algebraic Methods
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258. Numerical Analysis I
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259. Tea Time Numerical Analysis
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260. Functional Analysis Lecture Notes
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261. Spherical Harmonics in p Dimensions
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262. Noncommutative Rings
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263. Lectures on Riemann Matrices
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264. Magic Squares and Cubes
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265. Introduction to Algebraic Number Theory
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266. Lectures On Approximation By Polynomials
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267. Introduction to the Basics of Heegaard Floer Homology
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270. Deformations of Algebras in Noncommutative Geometry
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271. Lectures on Exterior Differential Systems
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274. Lectures on Some Aspects of p-Adic Analysis
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275. Lecture Notes in Discrete Mathematics
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276. Coordinate Geometry
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277. Aesthetics for the Working Mathematician
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278. Cook-Book Of Mathematics
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279. Basic Analysis: Introduction to Real Analysis
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280. Special Functions and Their Symmetries: Postgraduate Course in Applied Analysis
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281. Solid Geometry, with Problems and Applications
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282. Abstract Algebra
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283. The Octonions
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284. Notes on Categories and Groupoids
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285. Introduction to Analytic Number Theory
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286. Discrete Math for Computer Science Students
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287. Quick Notes - Statistics
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288. Logic For Everyone
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289. Dynamic Programming and Bayesian Inference: Concepts and Applications
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290. Advanced Data Analysis from an Elementary Point of View
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291. Lectures on Disintegration of Measures
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292. Partial Differential Equations
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293. Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
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294. Differential Equations and Linear Algebra
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295. Distribution Theory (Generalized Functions)
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296. Encyclopaedia of Mathematics
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297. Lectures on Noise Sensitivity and Percolation
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298. Elementary Number Theory
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299. Graph Theory With Applications
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300. Convex Geometric Analysis
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301. Multivariable Calculus
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302. An Elementary Treatise On Differential Equations And Their Applications
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303. Commutative Algebra
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304. Lectures on Elliptic Partial Differential Equations
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305. Symbolic Logic: A First Course
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306. An Introduction to the Theory of Numbers
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307. Trigonometry Notes
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308. An Introduction to Higher Mathematics
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309. Riemannian Geometry
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310. Probability Course
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311. Sets, Relations, Functions
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312. Geometry of Four Dimensions
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313. A Scrap-Book of Elementary Mathematics
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314. Proof Theory and Philosophy
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315. Topics in Discrete Mathematics
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316. Scientific Computing
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317. Riemannian Geometry
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318. Music: A Mathematical Offering
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319. Applied Multivariate Statistical Analysis
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320. Calculus of Differential Forms: Course
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321. Riemannian Geometry
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322. Notes on Discrete Mathematics
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323. Advanced Algebra
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324. Algorithmic Algebra
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325. An Introduction to Probability and Random Processes
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326. A Gentle Introduction to Category Theory: the calculational approach
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327. Elliptic Integrals
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328. Non-Euclidean Geometry
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329. Probability, Statistics and Stochastic Processes
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330. Model Theory
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331. Algebraic Number Theory
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332. Discrete Distributions
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333. Lectures on Forms of Higher Degree
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334. Probability Theory
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335. Hyperbolic Functions
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336. A History of Greek Mathematics
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337. Understanding Algebra
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338. Mathematical Methods for Economic Theory: a tutorial
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339. Fundamentals of Geometry
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340. Lectures on Algebraic Groups
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341. The Hopf Bifurcation and Its Applications
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342. Introduction to Methods of Applied Mathematics
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343. Practical Mathematics
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344. Lectures on Geodesics in Riemannian Geometry
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345. Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics
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346. The Calculus for Engineers and Physicists
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347. Lecture Notes on Embedded Contact Homology
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348. First Course in the Theory of Equations
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349. General Topology
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350. Lecture Notes on Differentiable Manifolds
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351. The First Six Books of the Elements of Euclid
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352. College Algebra
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353. Clifford Algebra, Geometric Algebra, and Applications
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354. A Sampler of Riemann-Finsler Geometry
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355. Projective Differential Geometry Old and New
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356. Lectures on Mean Periodic Functions
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357. Advanced High School Statistics
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358. Introduction to Real Analysis
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359. The Handbook of Essential Mathematics
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360. Harmonic Analysis
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361. Topology
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362. Unfolding the Labyrinth: Open Problems in Mathematics, Physics, Astrophysics, and Other Areas of Science
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363. Grassmann Algebra
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364. The Geometry of Iterated Loop Spaces
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365. Mathematical Principals of Dynamic Systems and the Foundations of Quantum Physics
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366. A set of new Smarandache functions, sequences and conjectures in number theory
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367. Optimal Stopping and Applications
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368. Lie Algebras
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369. Projective Geometry
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370. General Topology
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371. Elliptic Curves over Function Fields
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372. Linear Algebra C-2: Geometrical Vectors, Vector Spaces and Linear Maps
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373. Nonstandard Analysis in Topology
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374. Applied Discrete Structures
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375. Introduction to Representation Theory
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376. Basic Algebra
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377. An Introduction to Category Theory in Four Easy Movements
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378. Notes on Optimization
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379. Lie Groups in Physics
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380. Combinatorial and Computational Geometry
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381. Set Linear Algebra and Set Fuzzy Linear Algebra
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382. Topics in Differential Geometry
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383. A Treatise on the Theory of Invariants
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384. CDBooK: Introduction to Vassiliev Knot invariants
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385. Discrete Structures
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386. Discrete Differential Geometry: An Applied Introduction
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387. A Probability Course for the Actuaries
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388. Generic Polynomials: Constructive Aspects of the Inverse Galois Problem
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389. Statistics for the Social and Behavioral Sciences
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390. Advanced Topics in Probability
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391. 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

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

393. An Introduction to High Dimensional Knots
       Eiji Ogasa | arXiv
       Published in 2013, 92 pages

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

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

396. Complex Geometry of Nature and General Relativity
       Giampiero Esposito | arXiv
       Published in 1999, 229 pages

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

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

399. The Life of Pi: From Archimedes to Eniac and Beyond
       Jonathan M. Borwein | DocServer
       Published in 2010, 29 pages

400. Multivariable Calculus: Applications and Theory
       Kenneth Kuttler | Brigham Young University
       Published in 2011, 466 pages

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

402. Lectures on Partial Differential Equations
       G.B. Folland | Tata Institute of Fundamental Research
       Published in 1983, 145 pages

403. Basics of Algebra and Analysis For Computer Science
       Jean Gallier |
       Published in 2007, 254 pages

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

405. Differential Equations with YouTube Examples
       Jeffrey R. Chasnov | BookBoon
       Published in 2014, 57 pages

406. Preparing for College Physics
       David Murdock | TTU
       Published in 2002, 64 pages

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

408. Basic Probability Theory
       Robert B. Ash | Dover Publications
       Published in 2008, 352 pages

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

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

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

412. Functional Analysis
       Gerald Teschl | University of Vienna
       Published in 2009, 142 pages

413. Indian Mathematics
       G. R. Kaye | Thacker, Spink & Co.
       Published in 1915, 102 pages

414. Axiom: The Scientific Computation System
       Richard D. Jenks, Robert S. Sutor | axiom-developer.org
       Published in 2003, 1200 pages

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

416. Lectures on Shimura Varieties
       A. Genestier, B.C. Ngo |
       Published in 2006, 50 pages

417. Statistics
        | Wikibooks
       Published in 2013, 236 pages

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

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

420. Topology Without Tears
       Sidney A. Morris |
       Published in 2007, 373 pages

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

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

423. Categories and Modules
       Takahiro Kato | viXra.org
       Published in 2015, 323 pages

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

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

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

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

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

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

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

431. Noncommutative Localization in Algebra and Topology
       Andrew Ranicki | Cambridge University Press
       Published in 2002, 323 pages

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

433. Theory and Applications of Finite Groups
       G. A. Miller, H. F. Blichfeldt, L. E. Dickson | J. Wiley
       Published in 1916, 424 pages

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

435. The Geometry of Vector Calculus
       Tevian Dray, Corinne A. Manogue | Oregon State University
       Published in 2012, 325 pages

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

437. Real Analysis for Graduate Students: Measure and Integration Theory
       Richard F. Bass | CreateSpace
       Published in 2011, 206 pages

438. Special Course in Functional Analysis: (Non-)Commutative Topology
       Ville Turunen | Aalto TKK
       Published in 2008, 83 pages

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

440. Mathematics under the Microscope
       Alexandre V. Borovik | American Mathematical Society
       Published in 2008, 373 pages

441. Vector Analysis and the Theory of Relativity
       Francis Dominic Murnaghan | Johns Hopkins press
       Published in 1922, 156 pages

442. Cribbage: A Strategy Guide for Beginners
       Jake Magnum | Smashwords
       Published in 2016, 122 pages

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

444. Lecture Notes on Graph Theory
       Tero Harju | University of Turku
       Published in 2011, 100 pages

445. An Infinitely Large Napkin
       Evan Chen | MIT
       Published in 2016, 615 pages

446. Lectures on Complex Analytic Manifolds
       L. Schwartz | Tata Institute of Fundamental Research
       Published in 1955, 163 pages

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

448. Operators on Hilbert Space
       John Erdos | King's College London
       Published in 2004, 52 pages

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

450. Elementary Mathematical Analysis
       J.W. Young, F.M. Morgan | The Macmillan Company
       Published in 1917, 586 pages

451. Convex Bodies and Algebraic Geometry
       Tadao Oda | Springer
       Published in 1988, 219 pages

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

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

454. Basic Real Analysis
       Anthony W. Knapp | Birkhäuser
       Published in 2016, 840 pages

455. Iterative Methods in Combinatorial Optimization
       Lap Chi Lau, R. Ravi, M. Singh | Cambridge University Press
       Published in 2011, 229 pages

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

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

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

459. An Introduction to Stochastic Differential Equations
       Lawrence C. Evans | UC Berkeley
       Published in 2006, 139 pages

460. Introduction to Matrix Algebra
       Autar K Kaw | University of South Florida
       Published in 2002

461. Statistics Review: Including a probability theory background
        | Wikipedia
       Published in 2014

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

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

464. Basic Concepts in Modal Logic
       Edward N. Zalta | Stanford University
       Published in 2011, 92 pages

465. Algebraic General Topology
       Victor Porton | Mathematics21.org
       Published in 2015, 349 pages

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

467. First Book in Arithmetic
        | W.W. Shannon
       Published in 1905, 268 pages

468. Groups and Semigroups: Connections and Contrasts
       John Meakin | University of Nebraska-Lincoln
       Published in 2005, 40 pages

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

470. Understanding Calculus
       Faraz Hussain |
       Published in 2008

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

472. Notes on Basic 3-Manifold Topology
       Allen Hatcher |
       Published in 2000, 61 pages

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

474. Dynamical Systems
       Jose A. Tenreiro Machado (ed.) | MDPI AG
       Published in 2014, 553 pages

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

476. Calculus III
       Paul Dawkins | Lamar University
       Published in 2011, 287 pages

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

478. Ordinary Differential Equations: A Systems Approach
       Bruce P. Conrad |
       Published in 2010, 1125 pages

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

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

481. Prerequisites in Algebraic Topology
       Bjorn Ian Dundas | NTNU
       Published in 2005, 55 pages

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

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

484. Combinatorics Through Guided Discovery
       Kenneth P. Bogart | Dartmouth College
       Published in 2004, 202 pages

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

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

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

488. Convex Optimization
       Stephen Boyd, Lieven Vandenberghe | Cambridge University Press
       Published in 2004, 730 pages

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

490. Differential and Integral Equations: Boundary Value Problems and Adjoints
       S. Schwabik, M. Tvrdy, O. Vejvoda | Academia Praha
       Published in 1979, 246 pages

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

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

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

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

495. Calculus and Linear Algebra. Vol. 2
       Wilfred Kaplan, Donald J. Lewis | University of Michigan Library
       Published in 2007, 606 pages

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

497. Differential Equations From The Algebraic Standpoint
       Joseph Fels Ritt | The American Mathematical Society
       Published in 1932, 201 pages

498. Contributions to Fourier Analysis
       A. Zygmund, et al. | Princeton University Press
       Published in 1950, 207 pages

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

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

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