Graduate Texts in Mathematics

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Graduate Texts in Mathematics is a series of graduate-level textbooks in mathematics published by Springer-Verlag.

[edit] List of books

• 1 Introduction to Axiomatic Set Theory, Takeuti, Zaring
• 2 Measure and Category, John C. Oxtoby (1997, ISBN 978-0-387-90508-2)
• 3 Topological Vector Spaces, Schaefer, Wolff (1999, ISBN 978-0-387-98726-2)
• 4 A Course in Homological Algebra, Hilton, Stammbach (1997, ISBN 978-0-387-94823-2)
• 5 Categories for the Working Mathematician, Saunders Mac Lane (1998, ISBN 978-0-387-98403-2)
• 6 Projective Planes, Hughes, Piper
• 7 A Course in Arithmetic, Jean-Pierre Serre (1996, ISBN 978-0-387-90040-7)
• 8 Axiomatic Set Theory, Takeuti, Zaring
• 9 Introduction to Lie Algebras and Representation Theory, James E. Humphreys (1997, ISBN 978-0-387-90053-7)
• 10 A Course in Simple-Homotopy Theory, M. M. Cohen
• 11 Functions of One Complex Variable I, John B. Conway (1995, ISBN 978-0-387-90328-6)
• 12 Advanced Mathematical Analysis, R. Beals (1973, ISBN 978-0-387-90065-0)
• 13 Rings and Categories of Modules, Anderson, Fuller (1992, ISBN 978-0-387-97845-1)
• 14 Stable Mappings and Their Singularities, Golubitsky, Guillemin
• 15 Lectures in Functional Analysis and Operator Theory, S. K. Berberian
• 16 The Structure of Fields, D. Winter
• 17 Random Processes, M. Rosenblatt
• 18 Measure Theory, Paul R. Halmos (1974, ISBN 978-0-387-90088-9)
• 19 A Hilbert Space Problem Book, P. R. Halmos (1982, ISBN 978-0-387-90685-0)
• 20 Fibre Bundles, Dale Husemoller (1994, ISBN 978-0-387-94087-8)
• 21 Linear Algebraic Groups, James E. Humphreys (1998, ISBN 978-0-387-90108-4)
• 22 An Algebraic Introduction to Mathematical Logic, Barnes, Mack
• 23 Linear Algebra, Werner H. Greub (1981, ISBN 978-0-387-90110-7)
• 24 Geometric Functional Analysis and Its Applications, Holmes
• 25 Real and Abstract Analysis, Hewitt, Stromberg (1975, ISBN 978-0-387-90138-1)
• 26 Algebraic Theories, Manes
• 27 General Topology, John L. Kelley (1975, ISBN 978-0-387-90125-1)
• 28 Commutative Algebra I, Oscar Zariski, Pierre Samuel, Cohen (1975, ISBN 978-0-387-90089-6)
• 29 Commutative Algebra II, Oscar Zariski,Pierre Samuel
• 30 Lectures in Abstract Algebra I, Nathan Jacobson
• 31 Lectures in Abstract Algebra II, Nathan Jacobson
• 32 Lectures in Abstract Algebra III, Nathan Jacobson
• 33 Differential Topology, Morris W. Hirsch
• 34 Principles of Random Walk, Frank Spitzer
• 35 Several Complex Variables and Banach Algebras, Alexander, Wermer
• 36 A Course in Robust Control Theory, Dullerud, Paganini
• 37 Mathematical Logic, Monk
• 38 Geometric Methods and Applications, Jean Gallier
• 39 An Invitation to C^*-Algebras, William Arveson
• 40 Denumerable Markov Chains, John George Kemeny, Snell, Knapp et. al.
• 41 Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol
• 42 Linear Representations of Finite Groups, Jean-Pierre Serre, Scott
• 43 Rings of Continuous Functions, Gillman, Jerison
• 44 Elementary Algebraic Geometry, K. Kendig
• 45 Probability Theory I, I M. Loeve
• 46 Probability Theory II, I M. Loeve
• 47 Geometric Topology in Dimensions 2 and 3, Moise
• 48 General Relativity for Mathematicians, Sachs, Wu
• 49 Linear Geometry, Gruenberg, Weir
• 50 Fermat's Last Theorem, Harold M. Edwards
• 51 A Course in Differential Geometry, Klingenberg
• 52 Algebraic Geometry, Robin Hartshorne
• 53 A Course in Mathematical Logic, Yu. I. Manin, Neal Koblitz
• 54 Combinatorics with Emphasis on the Theory of Graphs, Graver, Watkins
• 55 Introduction to Operator Theory I, Brown, Pearcy
• 56 Algebraic Topology: An Introduction, William S. Massey
• 57 Introduction to Knot Theory, Crowell, Fox
• 58 P-adic Numbers, p-adic Analysis, and Zeta-Functions, Neal Koblitz
• 59 Cyclotomic Fields, Serge Lang
• 60 Mathematical Methods of Classical Mechanics, V. I. Arnold
• 61 Elements of Homotopy Theory, George W. Whitehead
• 62 Fundamentals of the Theory of Groups, Kargapolov, Merzljakov, Burns
• 63 Graph Theory, Bollobas
• 64 Fourier Series I, Edwards
• 65 Differential Analysis on Complex Manifolds, R.O. Wells Jr.
• 66 Introduction to Affine Group Schemes, W.C. Waterhouse
• 67 Local Fields, Jean-Pierre Serre, Greenberg
• 68 Linear Operators on Hilbert Spaces, Weidmann, Szuecs
• 69 Cyclotomic Fields II, Serge Lang
• 70 Singular Homology Theory, Massey
• 71 Riemann Surfaces, Farkas, Kra
• 72 Classical Topology and Combinatorial Group Theory. John Stillwell
• 73 Algebra, Thomas W. Hungerford
• 74 Multiplicative Number Theory, Davenport, Montgomery
• 75 Basic Theory of Algebraic Groups and Lie Algebras, G. P. Hochschild
• 76 Algebraic Geometry, Iitaka
• 77 Lectures on the Theory of Algebraic Numbers, Hecke, Brauer, Goldman et. al.
• 78 A Course in Universal Algebra, Burris, Sankappanavar (Online [[1]])
• 79 An Introduction to Ergodic Theory, Peter Walters
• 80 A Course in the Theory of Groups, Derek J.S. Robinson
• 81 Lectures on Riemann Surfaces, Forster, Gilligan
• 82 Differential Forms in Algebraic Topology, Bott, Tu
• 83 Introduction to Cyclotomic Fields, Lawrence C. Washington
• 84 A Classical Introduction to Modern Number Theory, Ireland, Rosen
• 85 Fourier Series A Modern Introduction, R. E. Edwards
• 86 Introduction to Coding Theory, J.H. van Lint
• 87 Cohomology of Groups, Kenneth S. Brown
• 88 Associative Algebras, R.S. Pierce
• 89 Introduction to Algebraic and Abelian Functions, Serge Lang
• 90 An Introduction to Convex Polytopes, Arne Brondsted
• 91 The Geometry of Discrete Groups, Alan F. Beardon, Beardon
• 92 Sequences and Series in Banach Spaces, J. Diestel
• 93 Modern Geometry - Methods and Applications I, Dubrovin, Fomenko, Novikov et. al.
• 94 Foundations of Differentiable Manifolds and Lie Groups, Frank W. Warner
• 95 Probability, Shiryaev, Boas
• 96 A Course in Functional Analysis, John B. Conway
• 97 Introduction to Elliptic Curves and Modular Forms, Neal Koblitz
• 98 Representations of Compact Lie Groups, Broecker, Dieck
• 99 Finite Reflection Groups, Grove, Benson
• 100 Harmonic Analysis on Semigroups, Berg, Christensen, Ressel
• 101 Galois Theory, Harold M. Edwards
• 102 Lie Groups, Lie Algebras, and Their Representations, V. S. Varadarajan
• 103 Complex Analysis, Serge Lang
• 104 Modern Geometry - Methods and Applications II, Dubrovin, Fomenko, Novikov et. al.
• 105 SL₂(R), Serge Lang
• 106 The Arithmetic of Elliptic Curves, Joseph H. Silverman
• 107 Applications of Lie Groups to Differential Equations, Peter J. Olver
• 108 Holomorphic Functions and Integral Representations in Several Complex Variables, R. Michael Range
• 109 Univalent Functions and Teichmüller Spaces, O. Lehto
• 110 Algebraic Number Theory, Serge Lang
• 111 Elliptic Curves, Dale Husemoeller
• 112 Elliptic Functions, Serge Lang
• 113 Brownian Motion and Stochastic Calculus, Karatzas, Shreve
• 114 A Course in Number Theory and Cryptography, Neal Koblitz
• 115 Differential Geometry Berger,,, Gostiaux, Levy
• 116 Measure and Integral, John L. Kelley, Srinivasan
• 117 Algebraic Groups and Class Fields, Jean-Pierre Serre
• 118 Analysis Now, Gert K. Pedersen
• 119 An Introduction to Algebraic Topology, Joseph J. Rotman
• 120 Weakly Differentiable Functions, William P. Ziemer
• 121 Cyclotomic Fields I-II, Serge Lang, Karl Rubin
• 122 Theory of Complex Functions, Remmert, Burckel
• 123 Numbers, Lamotke, Ewing, Ebbinghaus et. al.
• 124 Modern Geometry - Methods and Applications, Dubrovin, Fomenko, Novikov et. al.
• 125 Complex Variables, Berenstein, Gay
• 126 Linear Algebraic Groups, Armand Borel
• 127 A Basic Course in Algebraic Topology, William S. Massey
• 128 Partial Differential Equations, Jeffrey Rauch
• 129 Representation Theory, Fulton, Harris
• 130 Tensor Geometry, Dodson, Poston
• 131 A First Course in Noncommutative Rings, Tsi-Yuen Lam
• 132 Iteration of Rational Functions, Alan F. Beardon
• 133 Algebraic Geometry, Joe Harris
• 134 Coding and Information, Theory Steven Roman
• 135 Advanced Linear Algebra, Steven Roman
• 136 Algebra, Adkins, Weintraub
• 137 Harmonic Function Theory, Axler, Bourdon, Ramey
• 138 A Course in Computational Algebraic Number Theory, Henri Cohen
• 139 Topology and Geometry, Glen E. Bredon
• 140 Optima and Equilibria, Jean-Pierre Aubin
• 141 Gröbner Bases, Becker, Weispfenning, Kredel
• 142 Real and Functional Analysis, Serge Lang
• 143 Measure Theory, J.L. Doob
• 144 Noncommutative Algebra, Farb, Dennis
• 145 Homology Theory, James W. Vick
• 146 Computability, Douglas S. Bridges
• 147 Algebraic K-Theory and Its Applications, Jonathan Rosenberg
• 148 An Introduction to the Theory of Groups, Joseph J. Rotman
• 149 Foundations of Hyperbolic Manifolds, John G. Ratcliffe
• 150 Commutative Algebra with a View Toward Algebraic Geometry, David Eisenbud
• 151 Advanced Topics in the Arithmetic of Elliptic Curves, Joseph H. Silverman
• 152 Lectures on Polytopes, Guenter M. Ziegler
• 153 Algebraic Topology, William Fulton
• 154 An Introduction to Analysis, Brown, Pearcy
• 155 Quantum Groups, Christian Kassel
• 156 Classical Descriptive Set Theory, Alexander S. Kechris
• 157 Integration and Probability, Malliavin, Airault, Kay et. al.
• 158 Field Theory, Steven Roman
• 159 Functions of One Complex Variable II, John B. Conway
• 160 Differential and Riemannian Manifolds, Serge Lang
• 161 Polynomials and Polynomial Inequalities, Borwein, Erdelyi
• 162 Groups and Representations, Alperin, Bell
• 163 Permutation Groups, Dixon, Mortimer
• 164 Additive Number Theory I, Melvyn B. Nathanson
• 165 Additive Number Theory II, Melvyn B. Nathanson
• 166 Differential Geometry, Sharpe, Chern
• 167 Field and Galois Theory, Patrick Morandi
• 168 Combinatorial Convexity and Algebraic Geometry, Guenter Ewald
• 169 Matrix Analysis, Rajendra Bhatia
• 170 Sheaf Theory, Glen E. Bredon
• 171 Riemannian Geometry, Peter Petersen
• 172 Classical Topics in Complex Function Theory, Remmert, Kay
• 173 Graph Theory, Reinhard Diestel
• 174 Foundations of Real and Abstract Analysis, Douglas S. Bridges
• 175 An Introduction to Knot Theory, W.B.Raymond Lickorish
• 176 Riemannian Manifolds, John M. Lee
• 177 Analytic Number Theory ,Donald J. Newman
• 178 Nonsmooth Analysis and Control Theory, Clarke, Ledyaev, Stern et. al
• 179 Banach Algebra Techniques in Operator Theory, Ronald G. Douglas
• 180 A Course on Borel Sets, S.M. Srivastava
• 181 Numerical Analysis, Rainer Kress
• 182 Ordinary Differential Equations, Walter, Thompson
• 183 An Introduction to Banach Space Theory, Robert E. Megginson
• 184 Modern Graph Theory, Bela Bollobas
• 185 Using Algebraic Geometry, Cox, Little, O Shea
• 186 Fourier Analysis on Number Fields, Ramakrishnan, Valenza
• 187 Moduli of Curves, Harris, Morrison
• 188 Lectures on the Hyperreals, Robert Goldblatt
• 189 Lectures on Modules and Rings, Tsit-Yuen Lam
• 190 Problems in Algebraic Number Theory, Esmonde, Murty
• 191 Fundamentals of Differential Geometry, Serge Lang
• 192 Elements of Functional Analysis Hirsch, Lacombe, Levy
• 193 Advanced Topics in Computational Number Theory, Henri Cohen
• 194 One-Parameter Semigroups for Linear Evolution Equations, Engel, Nagel
• 195 Elementary Methods in Number Theory, Melvyn B. Nathanson
• 196 Basic Homological Algebra, M. Scott Osborne
• 197 The Geometry of Schemes, Eisenbud, Harris
• 198 A Course in p-adic Analysis, Alain Robert
• 199 Theory of Bergman Spaces, Hedenmalm, Korenblum, Zhu
• 200 An Introduction to Riemann-Finsler Geometry, Bao, Chern, Shen
• 201 Diophantine Geometry, Hindry, Joseph H. Silverman
• 202 Introduction to Topological Manifolds, John M. Lee
• 203 The Symmetric Group, Bruce E. Sagan
• 204 Galois Theory, Jean-Pierre Escofier
• 205 Rational Homotopy Theory, Felix, Halperin, Thomas
• 206 Problems in Analytic Number Theory, M. Ram Murty
• 207 Algebraic Graph Theory, Godsil, Royle
• 208 Analysis for Applied Mathematics, Ward Cheney
• 209 A Short Course on Spectral Theory, William Arveson
• 210 Number Theory in Function Fields, Michael Rosen
• 211 Algebra, Serge Lang
• 212 Lectures on Discrete Geometry, Jiri Matousek
• 213 From Holomorphic Functions to Complex Manifolds, Fritzsche, Grauert
• 214 Partial Differential Equations, Juergen Jost
• 215 Algebraic Functions and Projective Curves, David Goldschmidt
• 216 Matrices, Denis Serre
• 217 Model Theory: An Introduction, David Marker
• 218 Introduction to Smooth Manifolds, John M. Lee
• 219 The Arithmetic of Hyperbolic 3-Manifolds, Maclachlan, Reid
• 220 Smooth Manifolds and Observables, Jet Nestruev
• 221 Convex Polytopes, Branko Gruenbaum
• 222 Lie Groups, Lie Algebras, and Representations, Brian C. Hall
• 223 Fourier Analysis and its Applications, Anders Vretblad
• 224 Metric Structures in Differential Geometry, Walschap, G., (2004, ISBN 978-0-387-20430-7)
• 225 Lie Groups, Bump, D., (2004, ISBN 978-0-387-21154-1)
• 226 Spaces of Holomorphic Functions in the Unit Ball, Zhu, K., (2005, ISBN 978-0-387-22036-9)
• 227 Combinatorial Commutative Algebra, Miller, E., Sturmfels, B., (2005, ISBN 978-0-387-22356-8)
• 228 A First Course in Modular Forms, Diamond, F., Shurman, J., (2006, ISBN 978-0-387-23229-4)
• 229 The Geometry of Syzygies, Eisenbud, D., (2005, ISBN 978-0-387-22215-8)
• 230 An Introduction to Markov Processes, Stroock, D.W., (2005, ISBN 978-3-540-23499-9)
• 231 Combinatorics of Coxeter Groups, Björner, A., Brenti, F., (2005, ISBN 978-3-540-44238-7)
• 232 An Introduction to Number Theory, Everest, G., Ward, T., (2005, ISBN 978-1-85233-917-3)
• 233 Topics in Banach Space Theory, Albiac, F., Kalton, N.J., (2006, ISBN 978-0-387-28141-4)
• 234 Analysis and Probability · Wavelets, Signals, Fractals, Jorgensen, P.E.T., (2006, ISBN 978-0-387-29519-0)
• 235 Compact Lie Groups, Sepanski, M.R., (2007, ISBN 978-0-387-30263-8)
• 236 Bounded Analytic Functions, Garnett, J., (2007, ISBN 978-0-387-33621-3)