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

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

      

001. Calculus I
       Paul Dawkins | Lamar University
       Published in 2011, 586 pages

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

003. Real Variables: With Basic Metric Space Topology
       Robert B. Ash | Institute of Electrical & Electronics Engineering
       Published in 2007, 213 pages

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

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

006. Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
       M. Arnaudon, F. Barbaresco, L. Yang | arXiv
       Published in 2011, 48 pages

007. Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
       R. E. Showalter | American Mathematical Society
       Published in 1997, 278 pages

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

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

010. Lectures on Polyhedral Topology
       John R. Stallings | Tata Institute of Fundamental Research
       Published in 1967, 214 pages

011. An Introduction to Tensors for Students of Physics and Engineering
       Joseph C. Kolecki | Glenn Research Center
       Published in 2002, 29 pages

012. An Introduction to Good Old Fashioned Model Theory
       Harold Simmons | The University of Manchester
       Published in 2004, 180 pages

013. Numerical Analysis I
       Mark Embree | Rice University
       Published in 2012, 207 pages

014. Computational Statistics
       James E. Gentle | Springer
       Published in 2009, 729 pages

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

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

017. Robust Geometric Computation
       Kurt Mehlhorn, Chee Yap | New York University
       Published in 2004

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

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

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

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

022. Abstract Algebra: The Basic Graduate Year
       Robert B. Ash |
       Published in 2002

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

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

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

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

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

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

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

030. An Introduction to Measure Theory
       Terrence Tao | American Mathematical Society
       Published in 2011, 265 pages

031. Basic Concepts of Enriched Category Theory
       Max Kelly | Cambridge University Press
       Published in 2005, 143 pages

032. Think Bayes: Bayesian Statistics Made Simple
       Allen B. Downey | Green Tea Press
       Published in 2012, 77 pages

033. Interacting Particle Systems
       Stefan Grosskinsky | University of Warwick
       Published in 2009, 56 pages

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

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

036. Calculus for the Life Sciences: A Modeling Approach
       James L. Cornette, Ralph A. Ackerman | Iowa State University
       Published in 2013

037. Geometrical Theory of Dynamical Systems
       Nils Berglund | arXiv
       Published in 2001, 85 pages

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

039. Algebraic Logic
       H. Andreka, I. Nemeti, I. Sain |
       Published in 2003, 129 pages

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

041. Harmonic Analysis
       Russell Brown | University of Kentucky
       Published in 2009, 191 pages

042. Statistics for Health, Life and Social Sciences
       Denis Anthony | BookBoon
       Published in 2011, 292 pages

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

044. A Course of Modern Analysis
       E. T. Whittaker, G. N. Watson | Cambridge University Press
       Published in 1927, 616 pages

045. Mathematics under the Microscope
       Alexandre V. Borovik | American Mathematical Society
       Published in 2008, 293 pages

046. The World of Mathematics
       Philipp Legner | Mathigon
       Published in 2012

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

048. Learning Statistics with R
       Daniel Navarro | University of Adelaide
       Published in 2013, 542 pages

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

050. Complex and Adaptive Dynamical Systems: A Primer
       Claudius Gros | arXiv
       Published in 2008, 276 pages

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

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

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

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

055. Harmonic Function Theory
       Sheldon Axler, Paul Bourdon, Wade Ramey | Springer
       Published in 2001, 270 pages

056. Mathematical Physics II
       Boris Dubrovin | SISSA
       Published in 2008, 78 pages

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

058. Shadows of the Truth: Metamathematics of Elementary Mathematics
       Alexandre Borovik | American Mathematical Society
       Published in 2010, 293 pages

059. Geometry for Elementary School
        | Wikibooks
       Published in 2007, 72 pages

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

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

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

063. Noncompact Harmonic Manifolds
       Gerhard Knieper, Norbert Peyerimhoff | arXiv
       Published in 2013, 84 pages

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

065. Holomorphic Spaces
       S. Axler, J. McCarthy, D. Sarason | Cambridge University Press
       Published in 1998, 476 pages

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

067. Lectures on Stochastic Differential Equations and Malliavin Calculus
       S. Watanabe | Tata Institute of Fundamental Research
       Published in 1984, 113 pages

068. Linear Algebra
       Paul Dawkins | Lamar University
       Published in 2011, 331 pages

069. Statistics
        | Wikibooks
       Published in 2013, 236 pages

070. The Basics of Financial Mathematics
       Richard F. Bass |
       Published in 2003, 106 pages

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

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

073. Abstract Algebra I
       Marcel B. Finan | Arkansas Tech University
       Published in 2004

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

075. Lectures on Holomorphic Functions of Several Complex Variables
       Piotr Jakobczak, Marek Jarnicki | Jagiellonian University
       Published in 2001, 149 pages

076. 18 Lectures on K-Theory
       Ioannis P. Zois | arXiv
       Published in 2010, 137 pages

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

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

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

080. An Inquiry-Based Introduction to Proofs
       Jim Hefferon | Saint Michael's College
       Published in 2013, 23 pages

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

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

083. New Frontiers in Graph Theory
       Yagang Zhang (ed.) | InTech
       Published in 2012, 526 pages

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

085. Introduction to Commutative Algebra
       Thomas J. Haines | University of Maryland
       Published in 2005, 87 pages

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

087. Nonstandard Analysis in Topology
       Sergio Salbany, Todor Todorov | arXiv
       Published in 2011, 48 pages

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

089. Logic and Proof
       Lawrence C Paulson | University of Cambridge
       Published in 2002, 79 pages

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

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

092. Applied Combinatorics
       Mitchel T. Keller, William T. Trotter | Georgia Institute of Technology
       Published in 2013, 345 pages

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

094. Applied Combinatorics
       S. E. Payne | University of Colorado
       Published in 2003, 216 pages

095. Calculus
        | Wikibooks
       Published in 2011, 456 pages

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

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

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

099. Galois Theory
       Christopher Cooper | Macquarie University
       Published in 2009, 86 pages

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

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

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

103. Mathematics for Computer Science
       Eric Lehman, F Thomson Leighton, Albert R Meyer | MIT
       Published in 2010, 556 pages

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

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

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

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

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

109. A First Course in Mathematics Concepts for Elementary School Teachers
       Marcel B. Finan | Arkansas Tech University
       Published in 2006, 452 pages

110. Manifolds of Differentiable Mappings
       Peter W. Michor | Birkhauser
       Published in 1980, 165 pages

111. Researches on Curves of the Second Order
       George Whitehead Hearn | Project Gutenberg
       Published in 2005, 64 pages

112. Fundamentals of Geometry
       Oleg A. Belyaev | Moscow State University
       Published in 2007, 256 pages

113. Spectral Theory
       Leif Mejlbro | BookBoon
       Published in 2009, 80 pages

114. Integration and Differential Equations
       R.S. Johnson | BookBoon
       Published in 2012, 122 pages

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

116. Elementary Practical Statistics
       A. L. O'Toole | The MacMillan Company
       Published in 1964, 416 pages

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

118. An Introduction to Noncommutative Spaces and their Geometry
       Giovanni Landi | arXiv
       Published in 1997, 186 pages

119. The Handbook of Essential Mathematics
       John C. Sparks | Air Force Publication
       Published in 2006, 205 pages

120. First Course in the Theory of Equations
       Leonard E. Dickson | John Wiley & Sons
       Published in 1922, 207 pages

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

122. Advanced Algebra
       Arthur Schultze | The Macmillan Company
       Published in 1906, 588 pages

123. Difference Equations to Differential Equations - An introduction to calculus
       Dan Sloughter |
       Published in 2000, 599 pages

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

125. Vedic Mathematics
       W. B. Kandasamy, F. Smarandache | Automaton
       Published in 2006, 220 pages

126. Principles of Data Analysis
       Cappella Archive | Prasenjit Saha
       Published in 2003, 113 pages

127. A Scrap-Book of Elementary Mathematics
       William F. White | The Open Court Publishing Company
       Published in 1908, 234 pages

128. Advanced Algebra
       Herbert E. Hawkes | Ginn and Company
       Published in 1905, 314 pages

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

130. Introduction to Methods of Applied Mathematics
       Sean Mauch | Caltech
       Published in 2004, 2321 pages

131. Foundations of Descriptive and Inferential Statistics
       Henk van Elst | arXiv
       Published in 2013, 144 pages

132. A Manual of Intensional Logic
       Johan van Benthem | CSLI
       Published in 1988, 147 pages

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

134. Functional Analysis
       I. F. Wilde |
       Published in 2009, 84 pages

135. Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Forms
       Alfonso Romero, Young Jin Suh |
       Published in 2004, 60 pages

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

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

138. Notes on Discrete Mathematics
       Miguel A. Lerma |
       Published in 2005, 154 pages

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

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

141. Introduction to Differential Topology
       Uwe Kaiser | Boise State University
       Published in 2006, 110 pages

142. Stochastic Processes
       Leif Mejlbro | BookBoon
       Published in 2012, 263 pages

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

144. Exact Sequences in the Algebraic Theory of Surgery
       Andrew Ranicki | Princeton University Press
       Published in 1981, 881 pages

145. Dr. Vogel's Gallery of Calculus Pathologies
       Thomas I. Vogel |
       Published in 1997

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

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

148. Set Theoretic Real Analysis
       Krzysztof Ciesielski | Heldermann Verlag
       Published in 1997, 48 pages

149. Geometry of Surfaces
       Nigel Hitchin |
       Published in 2004

150. Practical Mathematics for Beginners
       Frank Castle | Macmillan and co
       Published in 1905, 366 pages

151. Introduction to Linear Bialgebra
       W.B.V. Kandasamy, F. Smarandache, K. Ilanthenral | arXiv
       Published in 2005, 238 pages

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

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

154. Mathematical Measures, Mathematical Pleasures, Mathematical Treasures
       Stephen Clark | Lulu.com
       Published in 2008, 48 pages

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

156. Supplementary Algebra
       Robert L. Short | D.C. Heath & Co.
       Published in 1905, 60 pages

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

158. Plane and Spherical Trigonometry
       Elmer A. Lyman, Edwin C. Goddard | Allyn and Bacon
       Published in 1900, 157 pages

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

160. Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra
       Ray M. Bowen, C.-C.Wang | Springer
       Published in 2008, 314 pages

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

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

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

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

165. Sets, Relations, Functions
       Ivo Düntsch, Günther Gediga | Methodos Publishers (UK)
       Published in 2000, 55 pages

166. Derivations of Applied Mathematics
       Thaddeus H. Black | Debian Project
       Published in 2008, 492 pages

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

168. Topics in dynamics I: Flows
       Edward Nelson | Princeton University Press
       Published in 1969, 122 pages

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

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

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

172. Distribution of Prime Numbers
       W W L Chen | Macquarie University
       Published in 2003

173. Statistics Done Wrong
       Alex Reinhart | refsmmat.com
       Published in 2013

174. Global Analysis: Functional Analysis Examples
       Leif Mejlbro | BookBoon
       Published in 2009, 78 pages

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

176. Differentiable Manifolds
       Nigel Hitchin |
       Published in 2003

177. Basic Analysis: Introduction to Real Analysis
       Jiri Lebl | Lulu.com
       Published in 2009, 161 pages

178. Pictures of Julia and Mandelbrot Sets
        | Wikibooks
       Published in 2010

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

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

181. Theory of Symmetry and Ornament
       Slavik V. Jablan | Matematicki Institut
       Published in 1995, 331 pages

182. Lectures on Commutative Algebra
       Sudhir R. Ghorpade | Indian Institute of Technology, Bombay
       Published in 2006, 64 pages

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

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

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

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

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

188. Clifford Algebra, Geometric Algebra, and Applications
       Douglas Lundholm, Lars Svensson | arXiv
       Published in 2009, 117 pages

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

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

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

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

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

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

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

196. Computational Mathematics for Differential Equations
       N. V. Kopchenova, I. A. Maron |
       Published in 1975

197. Introductory Statistics Notes
       Jamie DeCoster | University of Alabama
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258. Mirror Symmetry
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259. Lectures on Torus Embeddings and Applications
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260. A Short Introduction to Classical and Quantum Integrable Systems
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261. A Course in Riemannian Geometry
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264. Mathematical Methods for Physical Sciences II
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265. Mathematical Methods of Engineering Analysis
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266. Lectures on Scattering Resonances
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267. Higher Operads, Higher Categories
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268. Functional Analysis
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269. Magic Squares and Cubes
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271. Elementary Topology
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274. Basic Data Analysis and More: A Guided Tour Using Python
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275. A Concise Course in Algebraic Topology
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276. Periodic Solutions for Evolution Equations
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277. Experimental Design and Analysis
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278. Nonlinear Parameter Estimation: An Integrated System in Basic
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280. Probability, Random Processes, and Ergodic Properties
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281. Lectures on Moduli of Curves
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282. Galois Groups and Fundamental Groups
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283. Super Linear Algebra
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284. Basic Calculus Refresher
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285. Coordinate Geometry
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286. A Short Course on Approximation Theory
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287. A First Course in Topology: Continuity and Dimension
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288. Functional Differential Geometry
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289. Projective Differential Geometry Old and New
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290. Probabilistic Programming and Bayesian Methods for Hackers
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291. Discrete Optimization
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292. A Probability Course for the Actuaries
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293. Entropy of Compact Group Automorphisms
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294. Elementary Trigonometry
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295. Mathematics, Basic Math and Algebra
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296. Lectures on Algebraic Groups
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297. Elementary Number Theory
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298. Differential Geometry Course Notes
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299. An Introduction to Contemporary Mathematics
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300. Men of Mathematics
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301. Analytic Number Theory
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302. CDBooK: Introduction to Vassiliev Knot invariants
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303. Numerical Recipes in Fortran 90
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304. Ends of Complexes
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305. Geometry Formulas and Facts
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306. Digraphs: Theory, Algorithms and Applications
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307. Partial Differential Equations
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308. Numerical Methods for Large Eigenvalue Problems
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309. Galois Groups and Fundamental Groups
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310. Mathematical Computation
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311. Introduction to Stokes Structures
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312. An Introduction to Complex Algebraic Geometry
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313. Seminar on Triples and Categorical Homology Theory
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314. Lectures on Minimal Surface Theory
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315. Complex Variables: Second Edition
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316. Harmonic Analysis
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317. Differential Geometry in Physics
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318. Real Functions in One Variable: Examples of Integrals
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319. Notes on Galois Theory
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320. Mathematical Omnibus: Thirty Lectures on Classic Mathematics
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321. Higher-Dimensional Categories: an illustrated guide book
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322. First Course in Statistics
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323. Statistical Tools for Economists
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324. Basic Math Quick Reference Handbook
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325. CK-12 Algebra I
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326. Introduction to Shimura Varieties
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327. Algorithms in Real Algebraic Geometry
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328. Sets, Groups and Knots
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329. Smarandache Loops
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330. Lectures on Forms of Higher Degree
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331. The Geometry and Topology of Three-Manifolds
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332. Universal Algebra for Computer Science
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333. Jacobi Operators and Complete Integrable Nonlinear Lattices
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334. The CRing Project: a collaborative open source textbook on commutative algebra
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335. CK-12 Basic Probability and Statistics: A Short Course
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336. Introduction to Algebraic Geometry
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337. Introduction to Randomness and Statistics
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338. Elements of the Differential and Integral Calculus
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339. Introduction to the Basics of Heegaard Floer Homology
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340. Ordinary Differential Equations and Dynamical Systems
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341. An Introduction to Microlocal Analysis
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342. An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics
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343. Elements of Abstract and Linear Algebra
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344. Tea Time Numerical Analysis
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345. Matrices
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346. Differential Equations
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347. Banach Modules and Functors on Categories of Banach Spaces
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348. Quick Introduction to Tensor Analysis
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349. Linear Elliptic Equations of Second Order
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350. Synchronization and Linearity: An Algebra for Discrete Event Systems
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351. An Episodic History of Mathematics
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352. Manifold Theory
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353. Elliptic Curves over Function Fields
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354. Open Trigonometry: Basic to Advanced
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355. The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres
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356. Why the Boundary of a Round Drop Becomes a Curve of Order Four
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357. Why are Braids Orderable?
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358. Triangles, Rotation, a Theorem and the Jackpot
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359. Group Theory
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360. Hopf Algebras in General and in Combinatorial Physics: a practical introduction
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361. A Problem Course in Mathematical Logic
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362. Engineering Mathematics with Tables
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363. Hyperbolic Functions
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364. An Introduction to Group Theory: Applications to Mathematical Music Theory
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365. Elliptic Integrals
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366. Holonomy Groups in Riemannian Geometry
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367. Elementary Computer Mathematics
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368. Point-Set Topology: Course
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369. Lectures on Quadratic Forms
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370. History of Modern Mathematics
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371. Introduction to Probability
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372. Orbital Integrals on Reductive Lie Groups and Their Algebras
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373. Geometry and Group Theory
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374. Mathematics for the Physical Sciences
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375. The Eightfold Way: The Beauty of Klein's Quartic Curve
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376. Ordinary Differential Equations: A Systems Approach
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377. Elementary Number Theory
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378. The Air Force Brain Booster Book
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379. The Smarandache Function
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380. Engineering Statistics and Quality Control
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381. Introduction to Projective Varieties
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382. Notes on Basic 3-Manifold Topology
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383. Introduction to the Method of Multiple Scales
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384. Notes on the course Algebraic Topology
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385. Everything you wanted to know about Data Analysis and Fitting
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386. Lectures on The Riemann Zeta-Function
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387. Multivector Differential Calculus
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388. Model-Theoretic Logics
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389. Comments and topics on Smarandache notions and problems
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390. A Semester Course in Trigonometry
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391. Music: A Mathematical Offering
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392. Introduction to Logic
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393. Elementary Practical Mathematics
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394. Mathematical Analysis I
       Elias Zakon | The Trillia Group
       Published in 2004, 367 pages

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

396. Axiomatic Set Theory I
       A. C. Walczak-Typke |
       Published in 2009, 128 pages

397. A First Course on Time Series Analysis with SAS
       Michael Falk at al. | University of Wuerzburg
       Published in 2011, 364 pages

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

399. Combinatorial and Computational Geometry
       J. E. Goodman, J. Pach, E. Welzl | Cambridge University Press
       Published in 2007, 616 pages

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

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

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

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

404. Non-Euclidean Geometry
       Henry Manning | Ginn and Company
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405. Linear Systems Theory and Introductory Algebraic Geometry
       Robert Hermann | Math Sci Press
       Published in 1974, 282 pages

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

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

408. Tensor Analysis
       Edward Nelson | Princeton Univ Pr
       Published in 1974, 138 pages

409. Hilbert Spaces and Operators on Hilbert Spaces
       Leif Mejlbro | BookBoon
       Published in 2009, 109 pages

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

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

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

413. Lectures on Differential Equations
       Craig A. Tracy | University of California
       Published in 2011, 131 pages

414. The Algebra of Invariants
       J.H. Grace, A. Young | Cambridge, University Press
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415. Roots of a Compact Lie Group
       Kristopher Tapp | arXiv
       Published in 2009, 39 pages

416. Plane and Spherical Trigonometry in three parts
       Henry Bedingfield Goodwin | Longmans, Green, and Co.
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417. On 2D Inverse Problems
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418. Calculus of Differential Forms: Course
       Peter Saveliev | Intelligent Perception
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419. Lectures on Linear Logic
       A. S. Troelstra | CSLI
       Published in 1992, 215 pages

420. Interactive Real Analysis
       Bert G. Wachsmuth | Seton Hall University
       Published in 2007

421. Techniques of Applied Mathematics
       Andrew Fowler | University of Oxford
       Published in 2005, 141 pages

422. Mathematical Analysis II
       Elias Zakon | The TrilliaGroup
       Published in 2009, 436 pages

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

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

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

426. Lectures on Disintegration of Measures
       L. Schwartz | Tata Institute of Fundamental Research
       Published in 1976, 139 pages

427. Mathematics and Group Theory in Music
       Athanase Papadopoulos | arXiv
       Published in 2014, 33 pages

428. A Review of Algebra
       Romeyn Henry Rivenburg | American Book Company
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429. Elementary Algebra
       Denny Burzynski, Wade Ellis | Saunders College Publishing
       Published in 1989, 544 pages

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

431. Topics in Finite Geometry: Ovals, Ovoids and Generalized Quadrangles
       S. E. Payne | University of Colorado Denver
       Published in 2007, 945 pages

432. Theory and Applications of Finite Groups
       G. A. Miller, H. F. Blichfeldt, L. E. Dickson | J. Wiley
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433. Vector Analysis
       Gibbs, J. Willard | Yale University Press
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434. Lie Algebras
       Shlomo Sternberg |
       Published in 2004, 198 pages

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

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

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

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

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

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

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

442. Statistics for the Social and Behavioral Sciences
       David A. Kenny | Little, Brown
       Published in 1987, 407 pages

443. The Elements of Non-Euclidean Geometry
       D.M.Y. Sommerville | G.Bell & Sons Ltd.
       Published in 1914, 158 pages

444. Ricci-Hamilton Flow on Surfaces
       Li Ma | Tsinghua University
       Published in 2003, 128 pages

445. An Introduction to the Smarandache Function
       Charles Ashbacher | Erhus Univ Pr
       Published in 1995, 62 pages

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

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

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

449. Real Analysis
       Martin Smith-Martinez, et al. | Wikibooks
       Published in 2013

450. Linear Algebra Done Wrong
       Sergei Treil |
       Published in 2004, 222 pages

451. Discrete Distributions
       Leif Mejlbro | BookBoon
       Published in 2009, 72 pages

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

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

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

455. Theory of Groups of Finite Order
       William Burnside | Cambridge University Press
       Published in 1897, 456 pages

456. Dynamical Systems
       Shlomo Sternberg | OER Commons
       Published in 2000, 151 pages

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

458. Grassmann Algebra
       John Browne |
       Published in 2001

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

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

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

462. C*-algebras
       John Erdos | King's College, London
       Published in 2003, 51 pages

463. Analysis: An Introductory Course
       I. F. Wilde | King's College London
       Published in 2009, 130 pages

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

465. Topics in the Theory of Quadratic Residues
       Steve Wright | arXiv
       Published in 2014, 160 pages

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

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

468. Surfing on the ocean of numbers
       Henry Ibstedt | Erhus University Press
       Published in 1997, 76 pages

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

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

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

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

473. Introductory Treatise On Lie's Theory Of Finite Continuous Transformation Groups
       John Edward Campbell | Oxford Clarendon Press
       Published in 1903, 460 pages

474. Algebraic Number Theory
       J.S. Milne |
       Published in 2008, 163 pages

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

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

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

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

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

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

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

482. A Second Semester of Linear Algebra
       S. E. Payne | University of Colorado Denver
       Published in 2009, 270 pages

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

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

485. A Short History of Greek Mathematics
       James Gow | Cambridge University Press
       Published in 1884, 351 pages

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

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

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

489. Geometric Models for Noncommutative Algebra
       Ana Cannas da Silva, Alan Weinstein | University of California at Berkeley
       Published in 1998, 194 pages

490. Notes on Algebraic Structures
       Peter J. Cameron | Queen Mary, University of London
       Published in 2006, 102 pages

491. Manifolds and Differential Forms
       Reyer Sjamaar | Cornell University
       Published in 2006, 153 pages

492. Statistics 1
       Keijo Ruohonen | Tampere University of Technology
       Published in 2011, 97 pages

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

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

495. Fields and Galois Theory
       J. S. Milne |
       Published in 2008, 111 pages

496. Discrete Mathematics with Algorithms
       M. O. Albertson, J. P. Hutchinson | J. Wiley
       Published in 1988, 560 pages

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

498. Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists
       W. B. Vasantha Kandasamy, at al. | Automaton
       Published in 2007, 352 pages

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

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

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