Graduate Texts in Mathematics

Graduate Texts in Mathematics (GTM) (ou "Textos de Pós-Graduação em Matemática", diferem de "Undergraduate Texts in Mathematics", "Textos de Graduação em Matemática" ) é uma série de livros texto de Pós-graduação em matemática publicados pela Springer-Verlag. Esta série em particular é facilmente identificada por uma faixa branca no topo do livro.

Lista de livros Introduction to Axiomatic Set Theory, Gaisi Takeuti, Wilson M. Zaring (1982, 2nd ed., ) Measure and Category - A Survey of the Analogies between Topological and Measure Spaces, John C. Oxtoby (1980, 2nd ed., ) Topological Vector Spaces, H. H. Schaefer, M. P. Wolff (1999, 2nd ed., ) A Course in Homological Algebra, Peter Hilton, Urs Stammbach (1997, 2nd ed., ) Categories for the Working Mathematician, Saunders Mac Lane (1998, 2nd ed., ) Projective Planes, Daniel R. Hughes, Fred C. Piper, (1982, ) A Course in Arithmetic, Jean-Pierre Serre (1996, ) Axiomatic Set Theory, Gaisi Takeuti, Wilson M. Zaring, (1973, ) Introduction to Lie Algebras and Representation Theory, James E. Humphreys (1997, ) A Course in Simple-Homotopy Theory, Marshall. M. Cohen, (1973, ) Functions of One Complex Variable I, John B. Conway (1978, 2nd ed., ) Advanced Mathematical Analysis, Richard Beals (1973, ) Rings and Categories of Modules, Frank W. Anderson, Kent R. Fuller (1992, 2nd ed., ) Stable Mappings and Their Singularities, Marty Golubitsky, Victor Guillemin, (1974, ) Lectures in Functional Analysis and Operator Theory, Sterling K. Berberian, (1974, ) The Structure of Fields, David J. Winter, (1974, ) Random Processes, Murray Rosenblatt, (1974, ) Measure Theory, Paul R. Halmos (1974, ) A Hilbert Space Problem Book, Paul R. Halmos (1982, ) Fibre Bundles, Dale Husemöller (1994, 3rd ed., ) Linear Algebraic Groups, James Edward Humphreys (1998, ) An Algebraic Introduction to Mathematical Logic, Donald W. Barnes, John M. Mack (1975, ) Linear Algebra, Werner H. Greub (1981, ) Geometric Functional Analysis and Its Applications, Richard B. Holmes, (1975, ) Real and Abstract Analysis, Edwin Hewitt, Karl Stromberg (1975, ) Algebraic Theories, Ernest G. Manes, (1976, ) General Topology, John L. Kelley (1975, ) Commutative Algebra I, Oscar Zariski, Pierre Samuel (1975, ) Commutative Algebra II, Oscar Zariski, Pierre Samuel (1975, ) Lectures in Abstract Algebra I: Basic Concepts, Nathan Jacobson (1976, ) Lectures in Abstract Algebra II: Linear Algebra, Nathan Jacobson (1984, ) Lectures in Abstract Algebra III: Theory of Fields and Galois Theory, Nathan Jacobson (1976, ) Differential Topology, Morris W. Hirsch (1976, ) Principles of Random Walk, Frank Spitzer (2001, ) Several Complex Variables and Banach Algebras, Herbert Alexander, John Wermer (1998, 3rd ed., ) Linear Topological Spaces, John L. Kelley, Isaac Namioka (1982, ) Mathematical Logic, J. Donald Monk (1976, ) Several Complex Variables, H. Grauert, K. Fritzsche (1976, ) An Invitation to -Algebras, William Arveson (1976, ) Denumerable Markov Chains, John G. Kemeny, J. Laurie Snell, Anthony W. Knapp, D.S. Griffeath (1976, ) Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol (1989, 2nd ed., ) Linear Representations of Finite Groups, Jean-Pierre Serre, Leonhard L. Scott (1977, ) Rings of Continuous Functions, Leonard Gillman, Meyer Jerison (1976, ) Elementary Algebraic Geometry, Keith Kendig (1977, )Also published from Dover Publications as the second edition. (2015, ) Probability Theory I, M. Loève (1977, 4th ed, ) Probability Theory II, M. Loève (1978, 4th ed, ) Geometric Topology in Dimensions 2 and 3, Edwin Moise (1977, ) General Relativity for Mathematicians, R. K. Sachs, H. Wu (1983, ) Linear Geometry, K. W. Gruenberg, A. J. Weir (2010, ) Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory, Harold M. Edwards (2000, ) A Course in Differential Geometry, William Klingenberg, D. Hoffman (1983, ) Algebraic Geometry, Robin Hartshorne (2010, ) A Course in Mathematical Logic for Mathematicians, Yu. I. Manin, Boris Zilber (2009, 2nd ed., ) Combinatorics with Emphasis on the Theory of Graphs, Mark E. Watkins, Jack E. Graver (1977, ) Introduction to Operator Theory I: Elements of Functional Analysis, Arlen Brown, Carl Pearcy (1977, ) Algebraic Topology: An Introduction, William S. Massey (1977, ) Introduction to Knot Theory, Richard H. Crowell, Ralph H. Fox (1977, ) p-adic Numbers, p-adic Analysis, and Zeta-Functions, Neal Koblitz (1984, 2nd ed., ) Cyclotomic Fields, Serge Lang (1978, )Note that this volume of the series with volume 69 were combined as volume 121. Mathematical Methods of Classical Mechanics, V. I. Arnold, A. Weinstein, K. Vogtmann (1989, 2nd ed., ) Elements of Homotopy Theory, George W. Whitehead (1978, ) Fundamentals of the Theory of Groups, M. I. Kargapolov, J. I. Merzljakov (1979, ) Graph Theory - An Introductory Course, Béla Bollobás (1979, ) Fourier Series - A Modern Introduction Volume 1, R. E. Edwards (1979, 2nd ed., ) Differential Analysis on Complex Manifolds, Raymond O. Wells, Jr. (2008, 3rd ed., ) Introduction to Affine Group Schemes, William Charles Waterhouse (1979, ) Local Fields, Jean-Pierre Serre (1979, ) Linear Operators in Hilbert Spaces, Joachim Weidmann (1980, ) Cyclotomic Fields II, Serge Lang (1980, ) Singular Homology Theory, William Schumacher Massey (1980, ) Riemann Surfaces, Hershel Farkas, Irwin Kra (1992, 2nd ed., ) Classical Topology and Combinatorial Group Theory, John Stillwell (1980, 2ed 1993, ) Algebra, homas William Hungerford (1974, ) Multiplicative Number Theory, Harold Davenport, Hugh Montgomery (2000, 3rd ed., ) Basic Theory of Algebraic Groups and Lie Algebras, G. P. Hochschild (1981, ) Algebraic Geometry - An Introduction to Birational Geometry of Algebraic Varieties, Shigeru Iitaka (1982, ) Lectures on the Theory of Algebraic Numbers, E. T. Hecke (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 John Scott Robinson (1996, 2nd ed., ) Lectures on Riemann Surfaces, Otto Forster (1981, ) Differential Forms in Algebraic Topology, Raoul Bott, Loring W. Tu (1982, ) Introduction to Cyclotomic Fields, Lawrence Clinton Washington (1997, 2nd ed., ) A Classical Introduction to Modern Number Theory, Kenneth Ireland, Michael Rosen (1990, 2nd ed., ) Fourier Series - A Modern Introduction Volume 2, R. E. Edwards (1982, 2nd ed., ) Introduction to Coding Theory, Jack van Lint (3rd ed 1998, ) Cohomology of Groups, Kenneth Stephen Brown (1982, ) Associative Algebras, R. S. Pierce (1982, ) Introduction to Algebraic and Abelian Functions, Serge Lang (1982, 2nd ed., ) An Introduction to Convex Polytopes, Arne Brondsted (1983, ) The Geometry of Discrete Groups, Alan Beardon (1983, 2nd print 1995, ) Sequences and Series in Banach Spaces, J. Diestel (1984, ) Modern Geometry — Methods and Applications Part I: The Geometry of Surfaces, Transformation Groups, and Fields, B. A. Dubrovin, Anatoli Fomenko, Sergei Novikov (1992, 2nd ed., ) Foundations of Differentiable Manifolds and Lie Groups, Frank Wilson Warner (1983, ) Probability-1, Albert Shiryaev (2016, 3rd ed., ) A Course in Functional Analysis, John Bligh Conway (2007, 2nd ed., ) Introduction to Elliptic Curves and Modular Forms, Neal Koblitz (1993, 2nd ed., ) Representations of Compact Lie Groups, Theodor Bröcker, Tammo tom Dieck (1985, ) Finite Reflection Groups, L.C. Grove, C.T. Benson (1985, 2nd ed., ) Harmonic Analysis on Semigroups - Theory of Positive Definite and Related Functions, Christian Berg, Jens Peter Reus Christensen, Paul Ressel (1984, ) Galois Theory, Harold Edwards (1984, ) Lie Groups, Lie Algebras, and Their Representations, V. S. Varadarajan (1984, ) Complex Analysis, Serge Lang (1999, 4th ed., ) Modern Geometry — Methods and Applications Part II: The Geometry and Topology of Manifolds, B. A. Dubrovin, Anatoli Fomenko, Sergei Novikov (1985, ) SL2(R), Serge Lang (1985, ) The Arithmetic of Elliptic Curves, Joseph Hillel Silverman (2009, 2nd ed., ) Applications of Lie Groups to Differential Equations, Peter 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 (1994, 2nd ed., ) Elliptic Curves, Dale Husemöller (2004, 2nd ed., ) Elliptic Functions, Serge Lang (1987, 2nd ed., ) Brownian Motion and Stochastic Calculus, Ioannis Karatzas, Steven Shreve (2nd ed. 2000, ) A Course in Number Theory and Cryptography, Neal Koblitz (2ed 1994, ) Differential Geometry: Manifolds, Curves and Surfaces, Marcel Berger, Bernard Gostiaux (1988, ) Measure and Integral — Volume 1, John Leroy Kelley, T.P. 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 — Sobolev Spaces and Functions of Bounded Variation, William P. Ziemer (1989, ) Cyclotomic Fields I and II, Serge Lang (1990, Combined 2nd ed. )Originally published as volumes 59 and 69 in this series. Theory of Complex Functions, Reinhold Remmert (1991, ) Numbers, Heinz-Dieter Ebbinghaus et al. (1990, ) Modern Geometry — Methods and Applications Part III: Introduction to Homology Theory, B. A. Dubrovin, Anatoli Fomenko, Sergei Novikov (1990, ) Complex Variables — An Introduction, Carlos A. Berenstein, Roger Gay (1991, )A companion volume by the same authors: Complex Analysis and Special Topics in Harmonic Analysis (1995, ). Linear Algebraic Groups, Armand Borel (1991, ) A Basic Course in Algebraic Topology, William Schumacher Massey (1991, ) Partial Differential Equations, Jeffrey Rauch (1991, ) Representation Theory, William Fulton, Joe Harris (1991, ) Tensor Geometry — The Geometric Viewpoint and its Uses, Christopher T. J. Dodson, Timothy Poston (1991, 2nd ed., ) A First Course in Noncommutative Rings, Tsit Yuen Lam (2001, 2nd ed., ) Iteration of Rational Functions — Complex Analytic Dynamical Systems, Alan F. Beardon (1991, ) Algebraic Geometry, Joe Harris (1992, ) Coding and Information Theory, Steven Roman (1992, ) Advanced Linear Algebra, Steven Roman (2008, 3rd ed., ) Algebra — An Approach via Module Theory, William Adkins, Steven Weintraub (1992, ) Harmonic Function Theory, Sheldon Axler, Paul Bourdon, Wade Ramey (2001, 2nd ed., ) A Course in Computational Algebraic Number Theory, Henri Cohen (1996, ) Topology and Geometry, Glen Bredon (1993, ) Optima and Equilibria, Jean-Pierre Aubin (1998, ) Gröbner Bases — A Computational Approach to Commutative Algebra, Thomas Becker, Volker Weispfenning (1993, ) Real and Functional Analysis, Serge Lang (1993, 3rd ed., ) Measure Theory, J. L. Doob (1994, ) Noncommutative Algebra, Benson Farb, R. Keith Dennis (1993, ) Homology Theory — An Introduction to Algebraic Topology, James W. Vick (1994, 2nd ed., ) Computability — A Mathematical Sketchbook, Douglas S. Bridges (1994, ) Algebraic K-Theory and Its Applications, Jonathan Rosenberg (1994, ) An Introduction to the Theory of Groups, Joseph J. Rotman (1995, 4th ed., ) Foundations of Hyperbolic Manifolds, John G. Ratcliffe (2006, 2nd ed., ) Commutative Algebra — with a View Toward Algebraic Geometry, David Eisenbud (1995, ) Advanced Topics in the Arithmetic of Elliptic Curves, Joseph Hillel Silverman (1994, )This volume is subsequent to volume 106 in this series. Lectures on Polytopes, Günter M. Ziegler (1995, ) Algebraic Topology — A First Course, William Fulton (1995, ) An Introduction to Analysis, Arlen Brown, Carl Pearcy (1995, ) Quantum Groups, Christian Kassel (1995, ) Classical Descriptive Set Theory, Alexander S. Kechris (1995, ) Integration and Probability, Paul Malliavin (1995, )The problems and worked-out solutions book for all the exercises: Exercises and Solutions Manual for Integration and Probability by Paul Malliavin, Gerard Letac (1995, )