Graduate Texts in Mathematics

Graduate Texts in Mathematics (codice ISSN 0072-5285; abbreviazioni: Grad. Texts in Math., o GTM) è una collana editoriale di manuali universitari di livello avanzato su argomenti e temi della matematica. La serie è pubblicata dalla Springer-Verlag. I volumi di questa serie, come le altre collane matematiche dello stesso editore, hanno la copertina gialla e presentano dimensioni standard, eccetto per il numero di pagine, variabile da testo a testo. La serie è contraddistinta da una banda bianca orizzontale nella parte alta del libro.

Come recita il nome della collana, i libri della serie sono intesi per un utilizzo nella didattica universitaria graduate-level, vale a dire l'insegnamento rivolto a studenti che hanno già conseguito un titolo accademico di primo livello (laureati): la trattazione degli argomenti nei manuali GTM tende a essere, quindi, di livello più avanzato rispetto ai volumi della similare collana degli Undergraduate Texts in Mathematics, edita dello stesso editore, anche se vi è una discreta sovrapposizione tra le due serie per i materiali coperti e per i livelli di difficoltà dell'esposizione.

Volumi Introduction to Axiomatic Set Theory, Gaisi Takeuti, Wilson M. Zaring (1981, ISBN 978-0-387-90024-7) Measure and Category, John C. Oxtoby (1980, ISBN 978-0-387-90508-2) Topological Vector Spaces, Helmut H. Schaefer, M. P. Wolff (1999, ISBN 978-0-387-98726-2) A Course in Homological Algebra, Peter Hilton, Urs Stammbach (1997, ISBN 978-0-387-94823-2) Categories for the Working Mathematician, Saunders Mac Lane (1998, ISBN 978-0-387-98403-2) Projective Planes, Daniel R. Hughes, Fred C. Piper, (1982, ISBN 978-3-540-90043-6) A Course in Arithmetic, Jean-Pierre Serre (1996, ISBN 978-0-387-90040-7) Axiomatic Set Theory, Gaisi Takeuti, Wilson M. Zaring, (1973, ISBN 978-3-540-90050-4) Introduction to Lie Algebras and Representation Theory, James E. Humphreys (1997, ISBN 978-0-387-90053-7) A Course in Simple-Homotopy Theory, Marshall. M. Cohen, (1973, ISBN 0-387-90056-X) Functions of One Complex Variable I, John B. Conway (1995, ISBN 978-0-387-90328-6) Advanced Mathematical Analysis, Richard Beals (1973, ISBN 978-0-387-90065-0) Rings and Categories of Modules, Frank W. Anderson, Kent R. Fuller (1992, ISBN 978-0-387-97845-1) Stable Mappings and Their Singularities, Martin Golubitsky, Victor Guillemin, (1974, ISBN 978-0-387-90072-8) Lectures in Functional Analysis and Operator Theory, Sterling K. Berberian, (1974, ISBN 978-0-387-90080-3) The Structure of Fields, David J. Winter, (1974, ISBN 978-3-540-90074-0) Random Processes, Murray Rosenblatt, (1974, ISBN 978-0-387-90085-8) Measure Theory, Paul R. Halmos (1974, ISBN 978-0-387-90088-9) A Hilbert Space Problem Book, Paul R. Halmos (1982, ISBN 978-0-387-90685-0) Fibre Bundles, Dale Husemoller (1994, ISBN 978-0-387-94087-8) Linear Algebraic Groups, James E. Humphreys (1998, ISBN 978-0-387-90108-4) An Algebraic Introduction to Mathematical Logic, Donald W. Barnes, John M. Mack (1975, ISBN 978-0-387-90109-1) Linear Algebra, Werner H. Greub (1981, ISBN 978-0-387-90110-7) Geometric Functional Analysis and Its Applications, Richard B. Holmes, (1975, ISBN 978-0-387-90136-7) Real and Abstract Analysis, Edwin Hewitt, Karl Stromberg (1975, ISBN 978-0-387-90138-1) Algebraic Theories, Ernest G. Manes, (1976, ISBN 978-3-540-90140-2) General Topology, John L. Kelley (1975, ISBN 978-0-387-90125-1) Commutative Algebra I, Oscar Zariski, Pierre Samuel, Cohen (1975, ISBN 978-0-387-90089-6) Commutative Algebra II, Oscar Zariski, Pierre Samuel (1975, ISBN 978-0-387-90171-8) Lectures in Abstract Algebra I: Basic Concepts, Nathan Jacobson (1976, ISBN 978-0-387-90181-7) Lectures in Abstract Algebra II: Linear Algebra, Nathan Jacobson (1984, ISBN 978-0-387-90123-7) Lectures in Abstract Algebra III: Theory of Fields and Galois Theory, Nathan Jacobson (1976, ISBN 978-0-387-90168-8) Differential Topology, Morris W. Hirsch (1976, ISBN 978-0-387-90148-0) Principles of Random Walk, Frank Spitzer (2001, ISBN 978-0-387-95154-6) Several Complex Variables and Banach Algebras, Herbert Alexander, John Wermer (1998, ISBN 978-3-540-90160-0) Linear Topological Spaces, John L. Kelley, Isaac Namioka (1982, ISBN 978-0-387-90169-5) Mathematical Logic, J. Donald Monk (1976, ISBN 978-0-387-90170-1) Several Complex Variables, H. Grauert, K. Fritzsche (1976, ISBN 978-0-387-90172-5) An Invitation to -Algebras, William Arveson (1976, ISBN 978-0-387-90176-3) Denumerable Markov Chains, John G. Kemeny, J. Laurie Snell, Anthony W. Knapp, D.S. Griffeath (1976, ISBN 978-0-387-90177-0) Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol (1989, 2nd ed, ISBN 978-0-387-97127-8) Linear Representations of Finite Groups, Jean-Pierre Serre, Leonhard L. Scott (1977, 978-0-387-90190-9) Rings of Continuous Functions, Leonard Gillman, Meyer Jerison (1976, ISBN 978-0-387-90198-5) Elementary Algebraic Geometry, Keith Kendig (1977, ISBN 978-0-387-90199-2) Probability Theory I, M. Loève (1977, 4th ed, ISBN 978-0-387-90210-4) Probability Theory II, M. Loève (1978, 4th ed, ISBN 978-0-387-90262-3) Geometric Topology in Dimensions 2 and 3, Edwin E. Moise (1977, ISBN 978-0-387-90220-3) General Relativity for Mathematicians, R. K. Sachs, H. Wu (1983, ISBN 978-0-387-90218-0) Linear Geometry, K. W. 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 978-0-387-90230-2) A Course in Differential Geometry, William Klingenberg, D. Hoffman (1983, ISBN 978-0-387-90255-5) Algebraic Geometry, Robin Hartshorne (2010, ISBN 978-1-4419-2807-8) A Course in Mathematical Logic for Mathematicians, Yu. I. 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 978-0-387-90245-6) Introduction to Operator Theory I: Elements of Functional Analysis, Arlen Brown, Carl Pearcy (1977, ISBN 978-0-387-90257-9) Algebraic Topology: An Introduction, William S. Massey (1977, ISBN 978-0-387-90271-5) Introduction to Knot Theory, Richard H. Crowell, Ralph H. Fox (1977, ISBN 978-0-387-90272-2) p-adic Numbers, p-adic Analysis, and Zeta-Functions, Neal Koblitz (1984, ISBN 978-0-387-96017-3) Cyclotomic Fields, Serge Lang (1978, ISBN 978-0-387-90307-1) Mathematical Methods of Classical Mechanics, Vladimir Arnold, Alan Weinstein, Karen Vogtmann (1989, ISBN 978-0-387-96890-2) Elements of Homotopy Theory, George W. Whitehead (1978) Fundamentals of the Theory of Groups, Kargapolov, Merzljakov, Burns (1979) Graph Theory, An Introductory Course, Béla Bollobás (1979) Fourier Series, A Modern Introduction Vol 1, Edwards, R. E. (1979) Differential Analysis on Complex Manifolds, R.O. Wells Jr. (2008) Introduction to Affine Group Schemes, W. C. Waterhouse (1979) Local Fields, Jean-Pierre Serre, Greenberg (1980) Linear Operators in Hilbert Spaces, Weidmann, Szuecs (1980) Cyclotomic Fields II, Serge Lang (1980) Singular Homology Theory, William S. Massey (1980) Riemann Surfaces, Herschel Farkas, Irwin Kra (1980) Classical Topology and Combinatorial Group Theory, John Stillwell (1980, 2ed 1993) Algebra, Thomas W. Hungerford (1980) Multiplicative Number Theory, Harold Davenport, Hugh Montgomery (1980) Basic Theory of Algebraic Groups and Lie Algebras, G. P. Hochschild (1981) Algebraic Geometry, Iitaka (1982) Lectures on the Theory of Algebraic Numbers, Hecke, Brauer, Goldman et al. (1981) A Course in Universal Algebra, Burris, Stanley and Sankappanavar, H. P. (Online) (1981) An Introduction to Ergodic Theory, Peter Walters (1982) A Course in the Theory of Groups, Derek J.S. Robinson (1982) Lectures on Riemann Surfaces, Forster, Gilligan (1981) Differential Forms in Algebraic Topology, Raoul Bott, Loring Tu (1982) Introduction to Cyclotomic Fields, Lawrence C. Washington (1982) A Classical Introduction to Modern Number Theory, Ireland, Rosen (1995, ISBN 0-387-97329-X) Fourier Series. A Modern Introduction Vol 2, Edwards, R. E. (1982) Introduction to Coding Theory, J. H. van Lint (3rd ed 1998, ISBN 3-540-64133-5) Cohomology of Groups, Kenneth S. Brown (1982) Associative Algebras, R. S. Pierce (1982) Introduction to Algebraic and Abelian Functions, Serge Lang (1982) An Introduction to Convex Polytopes, Arne Brondsted (1983) The Geometry of Discrete Groups, Alan F. Beardon (1983, 2nd print 1995) Sequences and Series in Banach Spaces, J. Diestel (1984) Modern Geometry — Methods and Applications I, B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Novikov et al. (1984, 2ed 1992) Foundations of Differentiable Manifolds and Lie Groups, Frank W. Warner (1983) Probability, Albert Shiryaev (1984, 2ed 1996) A Course in Functional Analysis, John B. Conway (1985) Introduction to Elliptic Curves and Modular Forms, Neal Koblitz (1984) Representations of Compact Lie Groups, Broecker, Dieck (1985) Finite Reflection Groups, Grove, Benson (1985) Harmonic Analysis on Semigroups, Berg, Christensen, Ressel (1984) Galois Theory, Harold M. Edwards (1984) Lie Groups, Lie Algebras, and Their Representations, V. S. Varadarajan (1984) Complex Analysis, Serge Lang (4th ed 1999) Modern Geometry — Methods and Applications II, B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergej Petrovič Novikov et al. (1985) SL2(R), Serge Lang (1985) The Arithmetic of Elliptic Curves, Joseph H. Silverman (1986) Applications of Lie Groups to Differential Equations, Peter J. Olver (2ed 1993) Holomorphic Functions and Integral Representations in Several Complex Variables, R. Michael Range (1986) Univalent Functions and Teichmüller Spaces, O. Lehto (1987) Algebraic Number Theory, Serge Lang (1986, 2ed 1994) Elliptic Curves, Dale Husemöller (2ed 2004) Elliptic Functions, Serge Lang (1986) Brownian Motion and Stochastic Calculus, Ioannis Karatzas, Steven Shreve (1988) A Course in Number Theory and Cryptography, Neal Koblitz (2ed 1994) Differential Geometry: Manifolds, Curves and Surfaces, Berger, Gostiaux, Levy (1988) Measure and Integral VOl 1, John L. Kelley, Srinivasan (1988) Algebraic Groups and Class Fields, Jean-Pierre Serre (1988) Analysis Now, Gert K. Pedersen (1989) An Introduction to Algebraic Topology, Joseph J. Rotman (1988) Weakly Differentiable Functions, William P. Ziemer (1989) Cyclotomic Fields I and II (combined edition of the books previously published as Cyclotomic Fields, Vol. I and II), Serge Lang (1990) Theory of Complex Functions, Remmert, Burckel (1991, 4th print 1998) Numbers, Heinz-Dieter Ebbinghaus et al. (1990, ISBN 978-0-387-97497-2) Modern Geometry — Methods and Applications III, B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Novikov et al. (1990, ISBN 978-0-387-97271-8) Complex Variables, Berenstein, Gay (1991) Linear Algebraic Groups, Armand Borel (1991) A Basic Course in Algebraic Topology, William S. Massey (1991) Partial Differential Equations, Jeffrey Rauch (1991) Representation Theory, William Fulton, Joe Harris (1991) Tensor Geometry, C. T. J. Dodson, T. Poston (1991) A First Course in Noncommutative Rings, T. Y. Lam Iteration of Rational Functions, Alan F. Beardon Algebraic Geometry, Joe Harris Coding and Information Theory, Steven Roman Advanced Linear Algebra, Steven Roman Algebra: An Approach via Module Theory, Adkins, Weintraub Harmonic Function Theory, Axler, Bourdon, Ramey A Course in Computational Algebraic Number Theory, Henri Cohen (1996, ISBN 0-387-55640-0) Topology and Geometry, Glen E. Bredon Optima and Equilibria, Jean-Pierre Aubin Gröbner Bases, Becker, Weispfenning, Kredel Real and Functional Analysis, Serge Lang, (1993, ISBN 978-0-387-94001-4) Measure Theory, J. L. Doob Noncommutative Algebra, Farb, Dennis Homology Theory, James W. Vick Computability, Douglas S. Bridges Algebraic K-Theory and Its Applications, Jonathan Rosenberg