Graduate Texts in Mathematics (GTM) () ist eine englischsprachige Lehrbuchreihe im Springer Verlag. Wie der Name sagt ist sie für Studenten im Master-Studium – früher: nach dem Vordiplom – (Graduate School) bestimmt, für Undergraduates gibt es eine eigene Reihe bei Springer (Undergraduate Texts in Mathematics). Sie erscheint seit 1971. Gegenwärtige Herausgeber sind Sheldon Axler und Kenneth Ribet. Erster Managing Editor war Paul Halmos und weitere Herausgeber unter ihm John H. Ewing und Frederick Gehring.Angaben in Graduate Texts in Mathematics Nr. 33 (Hirsch Differential Topology)
Verzeichnis der Titel Bei den Erscheinungsdaten stehen auch die Daten von Neuauflagen. Die Nummerierung der Liste entspricht der Folge.
Introduction to Axiomatic Set Theory. Gaisi Takeuti, Wilson M. Zaring (1971, 1982, ISBN 1-4613-8170-3) Measure and Category – A Survey of the Analogies between Topological and Measure Spaces. John C. Oxtoby (1980, ISBN 0-387-90508-1) Topological Vector Spaces. Helmut H. Schaefer (1999, ISBN 0-387-98726-6) A Course in Homological Algebra. Peter Hilton, Urs Stammbach (1997, ISBN 0-387-94823-6) Categories for the Working Mathematician. Saunders Mac Lane (1998, ISBN 0-387-98403-8) Projective Planes. Daniel R. Hughes, Fred C. Piper (1982, ISBN 3-540-90043-8) A Course in Arithmetic. Jean-Pierre Serre (1996, ISBN 0-387-90040-3) Axiomatic Set Theory. Gaisi Takeuti, Wilson M. Zaring (1973, ISBN 3-540-90050-0) Introduction to Lie Algebras and Representation Theory. James E. Humphreys (1997, ISBN 0-387-90053-5) A Course in Simple-Homotopy Theory. Marshall. M. Cohen (1973, ISBN 0-387-90056-X) Functions of One Complex Variable I. John B. Conway (1978, ISBN 0-387-90328-3) Advanced Mathematical Analysis. Richard Beals (1973, ISBN 0-387-90065-9) Rings and Categories of Modules. Frank W. Anderson, Kent R. Fuller (1992, ISBN 0-387-97845-3) Stable Mappings and Their Singularities. Martin Golubitsky, Victor Guillemin (1974, ISBN 0-387-90072-1) Lectures in Functional Analysis and Operator Theory. Sterling K. Berberian (1974, ISBN 0-387-90080-2) The Structure of Fields. David J. Winter (1974, ISBN 3-540-90074-8) Random Processes. Murray Rosenblatt (1974, ISBN 0-387-90085-3) Measure Theory. Paul R. Halmos (1974, ISBN 0-387-90088-8) A Hilbert Space Problem Book. Paul R. Halmos (1982, ISBN 0-387-90685-1) Fibre Bundles. Dale Husemoller (1994, ISBN 0-387-94087-1) Linear Algebraic Groups. James E. Humphreys (1998, ISBN 0-387-90108-6) An Algebraic Introduction to Mathematical Logic. Donald W. Barnes, John M. Mack (1975, ISBN 0-387-90109-4) Linear Algebra. Werner H. Greub (1981, ISBN 0-387-90110-8) Geometric Functional Analysis and Its Applications. Richard B. Holmes (1975, ISBN 0-387-90136-1) Real and Abstract Analysis. Edwin Hewitt, Karl Stromberg (1975, ISBN 0-387-90138-8) Algebraic Theories. Ernest G. Manes (1976, ISBN 3-540-90140-X) General Topology. John L. Kelley (1975, ISBN 0-387-90125-6) Commutative Algebra I. Oscar Zariski, Pierre Samuel (1975, ISBN 0-387-90089-6) Commutative Algebra II. Oscar Zariski, Pierre Samuel (1975, ISBN 0-387-90171-X) Lectures in Abstract Algebra I: Basic Concepts. Nathan Jacobson (1976, ISBN 0-387-90181-7) Lectures in Abstract Algebra II: Linear Algebra. Nathan Jacobson (1984, ISBN 0-387-90123-X) Lectures in Abstract Algebra III: Theory of Fields and Galois Theory. Nathan Jacobson (1976, ISBN 0-387-90168-X) Differential Topology. Morris W. Hirsch (1976, ISBN 0-387-90148-5) Principles of Random Walk. Frank Spitzer (2001, ISBN 0-387-95154-7) Several Complex Variables and Banach Algebras. Herbert Alexander, John Wermer (1998, ISBN 0-387-98253-1) Linear Topological Spaces. John L. Kelley, Isaac Namioka (1982, ISBN 0-387-90169-8) Mathematical Logic. J. Donald Monk (1976, ISBN 0-387-90170-1) Several Complex Variables. Hans Grauert, Klaus Fritzsche (1976, ISBN 0-387-90172-8) An Invitation to -Algebras. William Arveson (1976, ISBN 0-387-90176-0) Denumerable Markov Chains. John G. Kemeny, J. Laurie Snell, Anthony W. Knapp (1976, ISBN 0-387-90177-9) Modular Functions and Dirichlet Series in Number Theory. Tom M. Apostol (1989, ISBN 0-387-97127-0) Linear Representations of Finite Groups. Jean-Pierre Serre (1977, ISBN 0-387-90190-6) Rings of Continuous Functions. Leonard Gillman, Meyer Jerison (1976, ISBN 0-387-90198-1) Elementary Algebraic Geometry. Keith Kendig (1977, ISBN 0-387-90199-X) (die 2. Auflage erschien bei Dover, 2015, ISBN 978-0-486-78608-7) Probability Theory I. Michel Loève (1977, ISBN 0-387-90210-4) Probability Theory II. Michel Loève (1978, ISBN 0-387-90262-7) Geometric Topology in Dimensions 2 and 3. Edwin E. Moise (1977, ISBN 0-387-90220-1) General Relativity for Mathematicians. Rainer K. Sachs, H. Wu (1983, ISBN 0-387-90218-X) Linear Geometry. Karl Gruenberg, A. J. Weir (2010, ISBN 978-0-387-90227-2) Fermat’s Last Theorem: A Genetic Introduction to Algebraic Number Theory. Harold M. Edwards (2000, ISBN 0-387-90230-9) A Course in Differential Geometry. Wilhelm Klingenberg, David Allen Hoffman (1983, ISBN 0-387-90255-4) Algebraic Geometry. Robin Hartshorne (2010, ISBN 978-1-4419-2807-8) A Course in Mathematical Logic for Mathematicians. Yuri Manin, Boris Zilber (2009, ISBN 978-1-4419-0614-4) Combinatorics with Emphasis on the Theory of Graphs. Mark E. Watkins, Jack E. Graver (1977, ISBN 0-387-90245-7) Introduction to Operator Theory I: Elements of Functional Analysis. Arlen Brown, Carl Pearcy (1977, ISBN 0-387-90257-0) Algebraic Topology: An Introduction. William S. Massey (1977, ISBN 0-387-90271-6) Introduction to Knot Theory. Richard H. Crowell, Ralph H. Fox (1977, ISBN 0-387-90272-4) p-adic Numbers, p-adic Analysis, and Zeta-Functions. Neal Koblitz (1984, ISBN 0-387-96017-1) Cyclotomic Fields. Serge Lang (1978, ISBN 0-387-90307-0) Mathematical Methods of Classical Mechanics. V. I. Arnold, A. Weinstein, K. Vogtmann (1989, ISBN 0-387-96890-3) Elements of Homotopy Theory. George W. Whitehead (1978, ISBN 0-387-90336-4) Fundamentals of the Theory of Groups. M. I. Kargapolov, J. I. Merzljakov (1979, ISBN 1-4612-9966-7) Graph Theory – An Introductory Course. Béla Bollobás (1979, ISBN 1-4612-9969-1) Fourier Series – A Modern Introduction Volume 1. Robert Edmund Edwards (1979, ISBN 1-4612-6210-0) Differential Analysis on Complex Manifolds. Raymond O. Wells (2008, ISBN 978-0-387-73891-8) Introduction to Affine Group Schemes. William C. Waterhouse (1979, ISBN 1-4612-6219-4) Local Fields. Jean-Pierre Serre (1979, ISBN 0-387-90424-7) Linear Operators in Hilbert Spaces. Joachim Weidmann (1980, ISBN 1-4612-6029-9) Cyclotomic Fields II. Serge Lang (1980, ISBN 1-4684-0088-6) Singular Homology Theory. William S. Massey (1980, ISBN 1-4684-9233-0) Riemann Surfaces. Hershel Farkas, Irwin Kra (1992, ISBN 0-387-97703-1) Classical Topology and Combinatorial Group Theory. John Stillwell (1980, 1993, ISBN 0-387-97970-0) Algebra. Thomas W. Hungerford (1974, ISBN 0-387-90518-9) Multiplicative Number Theory. Harold Davenport, Hugh Montgomery (2000, ISBN 0-387-95097-4) Basic Theory of Algebraic Groups and Lie Algebras. Gerhard Hochschild (1981, ISBN 1-4613-8116-9) Algebraic Geometry – An Introduction to Birational Geometry of Algebraic Varieties. Shigeru Iitaka (1982, ISBN 1-4613-8121-5) Lectures on the Theory of Algebraic Numbers. Erich Hecke (1981, ISBN 0-387-90595-2) A Course in Universal Algebra. Stanley Burris, H. P. Sankappanavar) (1981 ISBN 0-387-90578-2) An Introduction to Ergodic Theory. Peter Walters (1982, ISBN 0-387-95152-0) A Course in the Theory of Groups. Derek J. S. Robinson (1996, ISBN 0-387-94461-3) Lectures on Riemann Surfaces. Otto Forster (1981, ISBN 0-387-90617-7) Differential Forms in Algebraic Topology. Raoul Bott, Loring W. Tu (1982, ISBN 0-387-90613-4) Introduction to Cyclotomic Fields. Lawrence C. Washington (1997, ISBN 0-387-94762-0) A Classical Introduction to Modern Number Theory. Kenneth Ireland, Michael Rosen (1990, ISBN 0-387-97329-X) Fourier Series – A Modern Introduction Volume 2. Robert Edmund Edwards (1982, ISBN 1-4613-8158-4) Introduction to Coding Theory. Jacobus van Lint (1998, ISBN 3-540-64133-5) Cohomology of Groups. Kenneth Stephen Brown (1982, ISBN 1-4684-9329-9) Associative Algebras. Richard S. Pierce (1982, ISBN 1-4757-0165-9) Introduction to Algebraic and Abelian Functions. Serge Lang (1982, ISBN 0-387-90710-6) An Introduction to Convex Polytopes. Arne Brondsted (1983, ISBN 1-4612-1148-4) The Geometry of Discrete Groups. Alan Beardon (1983, 1995, ISBN 1-4612-7022-7) Sequences and Series in Banach Spaces. Joseph Diestel (1984, ISBN 1-4612-9734-6) Modern Geometry – Methods and Applications Part I: The Geometry of Surfaces, Transformation Groups, and Fields. Boris Anatoljewitsch Dubrowin, Anatoli Timofejewitsch Fomenko, Sergei Petrowitsch Nowikow (1992, ISBN 0-387-97663-9) Foundations of Differentiable Manifolds and Lie Groups. Frank W. Warner (1983, ISBN 0-387-90894-3) Band 95 ist aufgeteilt in zwei Bücher, basierend auf der zweibändigen russischen Ausgabe von 2007: Probability-1. Albert Shiryaev (2016, ISBN 978-0-387-72205-4) Probability-2. Albert Shiryaev (2021, ISBN 978-1-07-161829-5) A Course in Functional Analysis. John B. Conway (2007, ISBN 978-0-387-97245-9) Introduction to Elliptic Curves and Modular Forms. Neal Koblitz (1993, ISBN 0-387-97966-2) Representations of Compact Lie Groups. Theodor Bröcker, Tammo tom Dieck (1985, ISBN 3-540-13678-9) Finite Reflection Groups. Larry C. Grove, Clark T. Benson (1985, ISBN 0-387-96082-1) Harmonic Analysis on Semigroups – Theory of Positive Definite and Related Functions. Christian Berg, Jens Peter Reus Christensen, Paul Ressel (1984, ISBN 0-387-90925-7) Galois Theory. Harold M. Edwards (1984, ISBN 0-387-90980-X) Lie Groups, Lie Algebras, and Their Representations. V. S. Varadarajan (1984, ISBN 0-387-90969-9) Complex Analysis. Serge Lang (1999, ISBN 0-387-98592-1) Modern Geometry – Methods and Applications Part II: The Geometry and Topology of Manifolds. B. A. Dubrovin, A. Fomenko, S. P. Novikov (1985, ISBN 0-387-96162-3) . Serge Lang (1985, ISBN 0-387-96198-4) The Arithmetic of Elliptic Curves. Joseph H. Silverman (2009, ISBN 978-0-387-09493-9) Applications of Lie Groups to Differential Equations. Peter J. Olver (1993, ISBN 1-4684-0276-5) Holomorphic Functions and Integral Representations in Several Complex Variables. R. Michael Range (1986, ISBN 0-387-96259-X) Univalent Functions and Teichmüller Spaces. Olli Lehto (1987, ISBN 1-4613-8654-3) Algebraic Number Theory. Serge Lang (1994, ISBN 0-387-94225-4) Elliptic Curves. Dale Husemöller (2004, ISBN 0-387-95490-2) Elliptic Functions. Serge Lang (1987, ISBN 0-387-96508-4) Brownian Motion and Stochastic Calculus. Ioannis Karatzas, Steven E. Shreve (2000, ISBN 0-387-97655-8) A Course in Number Theory and Cryptography. Neal Koblitz ( 1994, ISBN 1-4684-0312-5) Differential Geometry: Manifolds, Curves and Surfaces. Marcel Berger, Bernard Gostiaux (1988, ISBN 0-387-96626-9) Measure and Integral – Volume 1. John L. Kelley, T.P. Srinivasan (1988, ISBN 0-387-96633-1) Algebraic Groups and Class Fields. Jean-Pierre Serre (1988, ISBN 1-4612-6993-8) Analysis Now. Gert K. Pedersen (1989, ISBN 0-387-96788-5) An Introduction to Algebraic Topology. Joseph J. Rotman (1988, ISBN 0-387-96678-1) Weakly Differentiable Functions – Sobolev Spaces and Functions of Bounded Variation. William P. Ziemer (1989, ISBN 0-387-97017-7) Cyclotomic Fields I and II. Serge Lang (1990, Ausgabe in einem Band. ISBN 1-4612-6972-5) (ursprünglich in zwei Bänden) Theory of Complex Functions. Reinhold Remmert (1991, ISBN 0-387-97195-5) Numbers. Heinz-Dieter Ebbinghaus, Reinhold Remmert, Friedrich Hirzebruch, Max Koecher, Hans Hermes u. a. (1990, ISBN 0-387-97497-0) Modern Geometry – Methods and Applications Part III: Introduction to Homology Theory. B. A. Dubrovin, A. Fomenko, S. P. Novikov (1990, ISBN 0-387-97271-4)