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.

List of books

• 1 Introduction to Axiomatic Set Theory, Gaisi Takeuti, Wilson. M. Zaring (ISBN 978-0-387-90024-7)
• 2 Measure and Category, John C. Oxtoby (1997, ISBN 978-0-387-90508-2)
• 3 Topological Vector Spaces, H.H. Schaefer, M.P. 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, Daniel R. Hughes, Fred C. Piper, (1982, ISBN 978-3-540-90043-6)
• 7 A Course in Arithmetic, Jean-Pierre Serre (1996, ISBN 978-0-387-90040-7)
• 8 Axiomatic Set Theory, Gaisi Takeuti, Wilson. M. Zaring, (1973, ISBN 9783540900504)
• 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, Marshall. M. Cohen, (1973, ISBN 0-38790056-X)
• 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, Frank W. Anderson, Kent R. Fuller (1992, ISBN 978-0-387-97845-1)
• 14 Stable Mappings and Their Singularities, Martin Golubitsky, Victor Guillemin, (1974, ISBN 0387900721)
• 15 Lectures in Functional Analysis and Operator Theory, Sterling. K. Berberian, (1974, ISBN 0-387-90080-2)
• 16 The Structure of Fields, David J. Winter, (1974, ISBN 0-387-90074-8)
• 17 Random Processes, Murry Rosenblatt, (1974, ISBN 0-387-90085-3)
• 18 Measure Theory, Paul R. Halmos (1974, ISBN 978-0-387-90088-9)
• 19 A Hilbert Space Problem Book, Paul 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, Donald W. Barnes, John M. Mack (1975, ISBN 978-0387901091)
• 23 Linear Algebra, Werner H. Greub (1981, ISBN 978-0-387-90110-7)
• 24 Geometric Functional Analysis and Its Applications, Richard B. Holmes, (1975, ISBN 9780387901367)
• 25 Real and Abstract Analysis, Edwin Hewitt, Karl Stromberg (1975, ISBN 978-0-387-90138-1)
• 26 Algebraic Theories, Ernest G. Manes, (1976, ISBN 9783540901402)
• 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, Herbert Alexander, John Wermer
• 36 Linear Topological Spaces, John L. Kelley, Isaac Namioka
• 37 Mathematical Logic, J. Donald 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 (ISBN 978-0-387-97127-8)
• 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, M. Loève
• 46 Probability Theory II, M. Loève
• 47 Geometric Topology in Dimensions 2 and 3, Edwin E. Moise
• 48 General Relativity for Mathematicians, R.K. Sachs, H. Wu
• 49 Linear Geometry, K.W. Gruenberg, A.J. Weir (ISBN 978-0-387-90227-2)
• 50 Fermat's Last Theorem, Harold M. Edwards (ISBN 978-0-387-90230-2)
• 51 A Course in Differential Geometry, Klingenberg
• 52 Algebraic Geometry, Robin Hartshorne
• 53 A Course in Mathematical Logic for Mathematicians, Yu. I. Manin, Boris Zilber, (2009, ISBN 978-1-4419-0614-4)
• 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 (1980)
• 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 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 Husemöller
• 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, William Fulton, Joe Harris
• 130 Tensor Geometry, C.T.J. Dodson, T. Poston
• 131 A First Course in Noncommutative Rings, T.Y. 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, (1993, ISBN 978-0387940014)
• 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, Günter 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, J. L. Alperin, Bell
• 163 Permutation Groups, Dixon, Mortimer
• 164 Additive Number Theory I, Melvyn B. Nathanson (ISBN 0-387-94656-X)
• 165 Additive Number Theory II, Melvyn B. Nathanson (ISBN 0-387-94655-1)
• 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, Joe 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, Joe 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, Jiří Matoušek
• 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, Daniel Bump, (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: Tools and 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)
• 247 Braid Groups, Kassel, Christian, Turaev, Vladimir, (2008, ISBN 978-0-387-33841-5)
• 248 Buildings Theory and Applications, Abramenko, Peter, Brown, Ken (2008, ISBN 978-0-387-78834-0)
• 249 Classical Fourier Analysis, Grafakos, Loukas, (2008, ISBN 978-0-387-09431-1)
• 250 Modern Fourier Analysis, Grafakos, Loukas, (2008, ISBN 978-0-387-09433-5)
• 251 The Finite Simple Groups, Wilson, Christopher W. Parker (2009, ISBN 978-1-84800-987-5)
• 252 Distributions and Operators, Grubb, Gerd, (2009, ISBN 978-0-387-84894-5)
• 253 Elementary Functional Analysis, MacCluer, Barbara D., (2009, ISBN 978-0-387-85528-8)
• 254 Algebraic Function Fields and Codes, Stichtenoth, Henning, (2009, ISBN 978-3-540-76877-7)
• 255 Symmetry, Representations, and Invariants, Goodman, Roe, Wallach, Nolan R., (2009, ISBN 978-0-387-79851-6)
• 256 A Course in Commutative Algebra, Kemper, Gregor, (2010, ISBN 978-3-642-03544-9)
• 257 Deformation Theory, Robin Hartshorne, (2010, ISBN 978-1-4419-1595-5)

External links

• Springer-Verlag's Summary of Graduate Texts in Mathematics