GRADUATE TEXTS IN MATHEMATICS

'Graduate Texts in Mathematics (GTM)' is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. This particular series is easily identified by a white band at the top of the book.

Contents
List of books
External links

List of books



★ 1 ''Introduction to Axiomatic Set Theory'', Gaisi Takeuti, W. M. 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'', Peter Hilton, Urs 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'', Gaisi 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 ''Linear Topological Spaces'', Kelley, Namioka ''et al.''

★ 37 ''Mathematical Logic'', Monk

★ 38 ''Several Complex Variables'', Grauert, Fritzsche

★ 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'', Richard H. Crowell, Ralph H. Fox (1977, ISBN 978-0-387-90272-2)

★ 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'', Béla Bollobás

★ 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'', William S. Massey

★ 71 ''Riemann Surfaces'', Herschel Farkas, Irwin Kra

★ 72 ''Classical Topology and Combinatorial Group Theory'', John Stillwell

★ 73 ''Algebra'', Thomas W. Hungerford

★ 74 ''Multiplicative Number Theory'', Harold Davenport, Hugh 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'', Raoul Bott, Loring Tu

★ 83 ''Introduction to Cyclotomic Fields'', Lawrence C. Washington

★ 84 ''A Classical Introduction to Modern Number Theory'', Ireland, Rosen (1995, ISBN 0-387-97329-X)

★ 85 ''Fourier Series A Modern Introduction'', R. E. Edwards

★ 86 ''Introduction to Coding Theory'', J.H. van Lint (3rd ed 1998, ISBN 3-540-64133-5)

★ 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

★ 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 ''SL''2(''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'', Ioannis Karatzas, Steven 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 III'', B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Petrovich Novikov ''et al.'' (1990, ISBN 978-0-387-97271-8)

★ 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 (1996, ISBN 0-387-55640-0)

★ 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'', R.W. Sharpe, Shiing-Shen 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'', Béla Bollobás

★ 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 (2000, ISBN 0-387-98727-4)

★ 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'', David Bao, Shiing-Shen Chern, Zhongmin Shen

★ 201 ''Diophantine Geometry'', Hindry, Joseph H. Silverman (2000, ISBN 978-0-387-98975-4)

★ 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'', Yves Félix, Stephen Halperin, Jean-Claude Thomas (2000, ISBN 978-0-387-95068-0)

★ 206 ''Problems in Analytic Number Theory'', M. Ram Murty (2001, ISBN 978-0-387-95143-0)

★ 207 ''Algebraic Graph Theory'', Godsil, Royle (2001, ISBN 978-0-387-95241-3)

★ 208 ''Analysis for Applied Mathematics'', Ward Cheney (2001, ISBN 978-0-387-95279-6)

★ 209 ''A Short Course on Spectral Theory'', William Arveson (2002, ISBN 978-0-387-95300-7)

★ 210 ''Number Theory in Function Fields'', Michael Rosen (2002, ISBN 978-0-387-95335-9)

★ 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 (2003, ISBN 978-0-387-95448-6)

★ 219 ''The Arithmetic of Hyperbolic 3-Manifolds'', Maclachlan, Reid

★ 220 ''Smooth Manifolds and Observables'', Jet Nestruev

★ 221 ''Convex Polytopes'', Branko Grünbaum (2003, ISBN 0-387-00424-6)

★ 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'', Ezra Miller, Bernd Sturmfels, (2005, ISBN 978-0-387-22356-8)

★ 228 ''A First Course in Modular Forms'', Fred Diamond, J. Shurman, (2006, ISBN 978-0-387-23229-4)

★ 229 ''The Geometry of Syzygies'', David Eisenbud (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'', Anders Björner, Francisco Brenti, (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'', M. R. Sepanski, (2007, ISBN 978-0-387-30263-8)

★ 236 ''Bounded Analytic Functions'', Garnett, J., (2007, ISBN 978-0-387-33621-3)

★ 237 ''An Introduction to Operators on the Hardy-Hilbert Space'', Martinez-Avendano, R.A., Rosenthal, P., (2007, ISBN 978-0-387-35418-7)

★ 238 ''A Course in Enumeration'', Aigner, M., (2007, ISBN 978-3-540-39032-9)

★ 239 ''Number Theory - Volume I: Elementary and Algebraic Methods for Diophantine Equations'', Cohen, H., (2007, ISBN 978-0-387-49922-2)

★ 240 ''Number Theory - Volume II: Analytic and Modern Tools'', Cohen, H., (2007, ISBN 978-0-387-49893-5)

★ 241 ''The Arithmetic of Dynamical Systems'', Joseph H. Silverman, (2007, ISBN 978-0-387-69903-5)

★ 242 ''Abstract Algebra'', Grillet, Pierre Antoine, (2007, ISBN 978-0-387-71567-4)

★ 243 ''Topological Methods in Group Theory'', Geoghegan, Ross, (2007, ISBN 978-0-387-74611-1)

★ 244 ''Graph Theory'', Bondy, J.A., Murty, U.S.R., (2007, ISBN 978-1-84628-969-9)

★ 245 ''Complex Analysis: Introduced in the Spirit of Lipman Bers'',Gilman, Jane P., Kra, Irwin, Rodriguez, Rubi E. (2007, ISBN 978-0-387-74714-9)

★ 246 ''A Course in Commutative Banach Algebras'', Kaniuth, Eberhard, (2008, ISBN 978-0-387-72475-1)

External links



Springer-Verlag's Summary of Graduate Texts in Mathematics

The Springer GTM test - An online quiz

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