Graduate Texts in Mathematics
From Wikipedia, the free encyclopedia
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.
[edit] 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, 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, 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, Frank W. Anderson, Kent R. 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, 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, 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, Edwin Hewitt, Karl 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, 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
- 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
- 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
- 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 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, 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, 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: 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)
- 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)