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)

[edit] External links