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. Finite Group Representations for the Pure Mathematician
       Peter Webb | University of Minnesota
       Published in 2007, 183 pages

002. Vector Calculus
       Michael Corral | Schoolcraft College
       Published in 2008, 222 pages

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

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

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

006. Elementary Theory of Numbers
       Waclaw Sierpinski | ICM
       Published in 1964, 516 pages

007. Hyperbolic Geometry
       J.W. Cannon, W.J. Floyd, R. Kenyon, W.R. Parry | MSRI
       Published in 1997, 57 pages

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

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

010. Interval Groupoids
       W. B. V. Kandasamy, F. Smarandache, M. K. Chetry | arXiv
       Published in 2010, 240 pages

011. Primary Mathematics
        | Wikibooks
       Published in 2012

012. Commutative Algebra
       Pete L. Clark | University of Georgia
       Published in 2011, 264 pages

013. Linear Algebra Review and Reference
       Zico Kolter | Stanford University
       Published in 2015, 26 pages

014. Lectures on Numerical Analysis
       Dennis Deturck, Herbert S. Wilf | University of Pennsylvania
       Published in 2002, 125 pages

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

016. Discrete Oscillation Theory
       Ravi P. Agarwal, at al. | Hindawi Publishing Corporation
       Published in 2005, 961 pages

017. Analytic Geometry and Principles of Algebra
       A. Ziwet, L.A. Hopkins, E.R. Hedrick | The Macmillan Company
       Published in 1913, 398 pages

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

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

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

021. An Introduction to Complex Algebraic Geometry
       Chris Peters | Institut Fourier Grenoble
       Published in 2004, 129 pages

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

023. Multiplication of Vectors and Structure of 3D Euclidean Space
       Miroslav Josipovic | viXra
       Published in 2016, 70 pages

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

025. Hyperbolic Functions
       James McMahon | John Wiley & Sons
       Published in 1906, 106 pages

026. Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems
       John William Withers | Open Court Publishing Co.
       Published in 1904, 214 pages

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

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

029. Traveling Wave Solutions of Parabolic Systems
       A. Volpert, V. Volpert, V. Volpert | American Mathematical Society
       Published in 2000, 448 pages

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

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

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

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

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

035. A Course in Riemannian Geometry
       David R. Wilkins | Trinity College, Dublin
       Published in 2005, 72 pages

036. Categorical Geometry
       Zhaohua Luo |
       Published in 1998

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

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

039. Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem
       J. Delsarte | Tata Institute of Fundamental Research
       Published in 1961, 151 pages

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

055. Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra
       A. T. Baraviera, R. Leplaideur, A. O. Lopes | arXiv
       Published in 2013, 106 pages

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

057. Algebra I
        | CK-12 Foundation
       Published in 2009, 992 pages

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

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

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

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

062. Introduction to Vectors and Tensors Volume 2: Vector and Tensor Analysis
       Ray M. Bowen, C.-C. Wang |
       Published in 2008, 246 pages

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

064. Topics in Random Matrix Theory
       Terence Tao |
       Published in 2011, 340 pages

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

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

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

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

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

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

071. Topics in Differential Geometry
       Peter W. Michor | American Mathematical Society
       Published in 2008, 429 pages

072. Random Matrix Models and Their Applications
       Pavel Bleher, Alexander Its | Cambridge University Press
       Published in 2001, 438 pages

073. Calculus for Beginners and Artists
       Daniel Kleitman | MIT
       Published in 2009

074. Geometry Formulas and Facts
       Silvio Levy | CRC Press
       Published in 1995

075. Curves and Surfaces in Geometric Modeling: Theory and Algorithms
       Jean Gallier | Morgan Kaufmann
       Published in 1999, 502 pages

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

077. Introduction to Representation Theory
       Pavel Etingof, at al. | MIT
       Published in 2009, 99 pages

078. Lectures on the Mean-Value and Omega Theorems for the Riemann Zeta-Function
       K. Ramachandra | Tata Institute of Fundamental Research
       Published in 1995, 190 pages

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

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

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

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

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

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

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

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

087. A Course in Universal Algebra
       S. Burris, H.P. Sankappanavar | Springer-Verlag
       Published in 1982, 331 pages

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

089. Applied Nonparametric Regression
       Wolfgang Härdle | Cambridge University Press
       Published in 1992, 433 pages

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

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

092. Sets, Groups and Knots
       Curtis T. McMullen | Harvard University
       Published in 2008, 56 pages

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

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

095. Linear Methods of Applied Mathematics
       Evans M. Harrell II, James V. Herod |
       Published in 2000

096. Lectures On Irregularities Of Distribution
       Wolfgang M. Schmidt | Tata Institute of Fundamental Research
       Published in 1977, 137 pages

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

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

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

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

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

102. Concepts and Applications of Inferential Statistics
       Richard Lowry |
       Published in 2008, 366 pages

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

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

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

106. Introduction to Bimatrices
       W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral | arXiv
       Published in 2005, 181 pages

107. Manifolds
       Neil Lambert | King's College London
       Published in 2011, 59 pages

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

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

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

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

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

113. Introduction to Partial Differential Equations
       John Douglas Moore | UCSB
       Published in 2003, 169 pages

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

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

116. Notes on the Atiyah-Singer Index Theorem
       Liviu I. Nicolaescu | University of Notre Dame
       Published in 2005, 135 pages

117. Heegner Points and Rankin L-Series
       Henri Darmon, Shou-Wu Zhang | Cambridge University Press
       Published in 2004, 382 pages

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

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

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

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

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

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

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

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

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

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

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

129. Complex Analysis
       C. McMullen | Harvard University
       Published in 2010, 106 pages

130. Lectures on Cyclic Homology
       D. Husemoller | Tata Institute of Fundamental Research
       Published in 1991, 114 pages

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

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

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

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

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

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

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

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

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

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

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

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

143. The Numerical Approximation of Functional Differential Equations
       Daniele Venturi | arXiv
       Published in 2016, 113 pages

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

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

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

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

148. Galois Lectures
       J. Douglas, P. Franklin, C.J. Keyser, L. Infeld | Morrill Press
       Published in 1941, 141 pages

149. Computing of the Complex Variable Functions
       Solomon I. Khmelnik, Inna S. Doubson | MiC
       Published in 2011, 46 pages

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

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

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

153. Special Functions and Their Symmetries: Postgraduate Course in Applied Analysis
       Vadim Kuznetsov, Vladimir Kisil | University of Leeds
       Published in 2003

154. Higher-Dimensional Categories: an illustrated guide book
       Eugenia Cheng, Aaron Lauda | University of Sheffield
       Published in 2004, 182 pages

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

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

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

158. 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

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

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

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

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

163. Topics in Discrete Mathematics
       A.F. Pixley | Harvey Mudd College
       Published in 2010, 173 pages

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

165. An Introduction to Group Theory: Applications to Mathematical Music Theory
       Flor Aceff-Sanchez, et al. | BookBoon
       Published in 2013, 165 pages

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

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

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

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

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

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

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

173. Basic Calculus Refresher
       Ismor Fischer | University of Wisconsin
       Published in 2008, 21 pages

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

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

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

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

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

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

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

181. Ordinary Differential Equations and Dynamical Systems
       Gerald Teschl | Universitaet Wien
       Published in 2009, 297 pages

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

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

184. Lectures on Etale Cohomology
       J. S. Milne |
       Published in 2008, 196 pages

185. Differential Calculus for Beginners
       Alfred Lodge | Deighton, Bell, & Co.
       Published in 1905, 322 pages

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

187. Math That Makes You Go Wow
       M. Boittin, E. Callahan, D. Goldberg, J. Remes | Ohio State University
       Published in 1998

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

189. Invitation to Dynamical Systems
       Edward R. Scheinerman | Prentice Hall College Div
       Published in 1995, 384 pages

190. Stability, Riemann Surfaces, Conformal Mappings: Complex Functions Theory a-3
       Leif Mejlbro | BookBoon
       Published in 2010, 115 pages

191. Lecture Notes on Free Probability
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303. H2 Mathematics Textbook
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306. Vector Calculus, with Applications to Physics
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312. Lie Algebras
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314. Introduction to Stochastic Analysis
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315. Symbolic Logic: A Second Course
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316. Trigonometry Notes
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317. Lectures on Optimization: Theory and Algorithms
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322. Banach Spaces of Analytic Functions
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323. Geometry for Elementary School
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324. Robust Optimization
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325. A Computational Introduction to Number Theory and Algebra
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326. An Introduction to Quantum Chaos
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335. The Elements Of Non-Euclidean Geometry
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343. Fundamentals of Mathematics
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344. Mathematics and Group Theory in Music
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345. An Elementary Course in Synthetic Projective Geometry
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346. Chaos: Classical and Quantum
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347. Elements of Abstract and Linear Algebra
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348. Greek Geometry from Thales to Euclid
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349. Current Topics in Complex Algebraic Geometry
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350. Difference Equations to Differential Equations - An introduction to calculus
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354. Harmonic Function Theory
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357. Set Linear Algebra and Set Fuzzy Linear Algebra
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358. Art Gallery Theorems and Algorithms
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360. Lectures on Lipschitz Analysis
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361. An Introduction to D-Modules
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362. Introduction to Analysis
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363. Varieties of Lattices
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365. A set of new Smarandache functions, sequences and conjectures in number theory
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366. Lectures on The Theory of Functions of Several Complex Variables
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367. Introduction to Algebraic Number Theory
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368. Polynomials and the Steenrod Algebra
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369. Lectures on Topics in Analysis
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374. Lectures on The Riemann Zeta-Function
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387. Problems with and Without ... Problems!
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389. Descriptive Set Theory
       Yiannis N. Moschovakis | American Mathematical Society
       Published in 2009, 516 pages

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

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

392. Advanced Algebra
       Anthony W. Knapp | Birkhäuser
       Published in 2016, 758 pages

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

394. Entropy of Compact Group Automorphisms
       Thomas Ward | University of East Anglia
       Published in 2001, 84 pages

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

396. Foundations of Analysis
       Joseph L. Taylor |
       Published in 2011, 415 pages

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

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

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

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

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

402. A Problem Course in Mathematical Logic
       Stefan Bilaniuk |
       Published in 2003, 166 pages

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

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

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

406. Recreational Mathematics
        | Wikipedia
       Published in 2014

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

408. Computer Algebra, Algorithms, Systems and Applications
       Richard Liska, at al. | Czech Technical University
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409. Advanced Algebra
       Herbert E. Hawkes | Ginn and Company
       Published in 1905, 314 pages

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

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

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

413. H Ring Spectra and Their Applications
       R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger | Springer
       Published in 1986, 400 pages

414. An Introduction to Probability and Random Processes
       Gian-Carlo Rota, Kenneth Baclawski |
       Published in 1979, 467 pages

415. Linear Complementarity, Linear and Nonlinear Programming
       Katta G. Murty |
       Published in 1997, 613 pages

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

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

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

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

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

421. Lectures on Minimal Surface Theory
       Brian White | arXiv
       Published in 2013, 46 pages

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

423. Grassmann Algebra
       John Browne |
       Published in 2001

424. Mathematics for Computer Scientists
       Gareth J. Janacek, Mark L. Close | BookBoon
       Published in 2008, 153 pages

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

426. Discrete Math for Computer Science Students
       Ken Bogart, Cliff Stein | Dartmouth College
       Published in 2003, 252 pages

427. Advanced Data Analysis from an Elementary Point of View
       Cosma Rohilla Shalizi | Cambridge University Press
       Published in 2013, 586 pages

428. Statistics Review: Including a probability theory background
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       Published in 2014

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

430. Graph Theory
       Reinhard Diestel | Springer
       Published in 2005, 422 pages

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

432. An Introduction to Algebraic Number Theory
       F. Oggier | Nanyang Technological University
       Published in 2010, 95 pages

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

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

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

436. Introduction to Real Analysis
       William F. Trench | Prentice Hall
       Published in 2003, 583 pages

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

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

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

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

441. Mathematics for the Physical Sciences
       Herbert S Wilf | Dover Publications
       Published in 1962, 298 pages

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

443. Combinatory Analysis
       Percy A. MacMahon | Cambridge University Press
       Published in 1915, 612 pages

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

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

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

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

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

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

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

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

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

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

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

455. Lectures on Deformations of Singularities
       Michael Artin | Tata Institute of Fundamental Research
       Published in 1976, 110 pages

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

457. Mathematics and Physics of Emerging Biomedical Imaging
       National Research Council | National Academies Press
       Published in 1996, 238 pages

458. Combinatorial Knot Theory
       Louis H. Kauffman | University of Illinois at Chicago
       Published in 2009, 159 pages

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

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

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

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

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

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

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

466. A Second Course in Elementary Ordinary Differential Equations
       Marcel B. Finan | Arkansas Tech University
       Published in 2006, 201 pages

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

468. Introduction to Representations of Real Semisimple Lie Groups
       Matvei Libine | arXiv
       Published in 2012, 132 pages

469. An Introduction to Real Analysis
       John K. Hunter | University of California Davis
       Published in 2014, 305 pages

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

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

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

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

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

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

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

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

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

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

480. Mathematics of Modality
       Robert Goldblatt | CSLI Publications
       Published in 1993, 288 pages

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

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

483. Lectures on the Algebraic Theory of Fields
       K.G. Ramanathan | Tata Institute of Fundamental Research
       Published in 1956, 228 pages

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

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

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

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

488. Geometry of Numbers with Applications to Number Theory
       Pete L. Clark | University of Georgia
       Published in 2013, 138 pages

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

490. Formal Logic
        | Wikibooks
       Published in 2009

491. Algorithms in Real Algebraic Geometry
       S. Basu, R. Pollack, M. Roy | Springer
       Published in 2009, 672 pages

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

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

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

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

496. Category Theory
        | Wikibooks
       Published in 2010

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

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

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

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

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