Graduate Texts in Mathematics

Graduate Texts in Mathematics (GTM) est une collection de manuels de mathématiques de niveau troisième cycle éditée par Springer-Verlag. Comme dans les autres collections mathématiques de Springer, ces livres sont jaunes et de format standard (avec un nombre de pages variable). Ils se distinguent par une bande blanche dans la partie supérieure de la couverture.

Les responsables éditoriaux sont Sheldon Axler et Kenneth Ribet.

Liste de volumes

1. Introduction to Axiomatic Set Theory, Gaisi Takeuti et Wilson M. Zaring, 1981 2. Measure and Category, John C. Oxtoby, 1980 3. Topological Vector Spaces, et M. P. Wolff, 1999 4. A Course in Homological Algebra, Peter Hilton et , 1997 5. Categories for the Working Mathematician, Saunders Mac Lane 6. Projective Planes, Daniel R. Hughes et Fred C. Piper, 1982 7. A Course in Arithmetic, Jean-Pierre Serre 8. Axiomatic Set Theory, Gaisi Takeuti et Wilson M. Zaring, 1973 9. Introduction to Lie Algebras and Representation Theory, James E. Humphreys, 1997 10. A Course in Simple-Homotopy Theory, Marshall M. Cohen, 1973 11. Functions of One Complex Variable I, , 1995 12. Advanced Mathematical Analysis, Richard Beals, 1973 13. Rings and Categories of Modules, Frank W. Anderson et Kent R. Fuller, 1992 14. Stable Mappings and Their Singularities, Marty Golubitsky et Victor Guillemin, 1974 15. Lectures in Functional Analysis and Operator Theory, Sterling K. Berberian, 1974 16. The Structure of Fields, David J. Winter, 1974 17. Random Processes, , 1974 18. Measure Theory, Paul R. Halmos, 1974 19. A Hilbert Space Problem Book, Paul R. Halmos, 1982 20. Fibre Bundles, , 1994 21. Linear Algebraic Groups, James E. Humphreys, 1998 22. An Algebraic Introduction to Mathematical Logic, Donald W. Barnes et John M. Mack, 1975 23. Linear Algebra, Werner H. Greub, 1981 24. Geometric Functional Analysis and Its Applications, Richard B. Holmes, 1975 25. Real and Abstract Analysis, Edwin Hewitt et Karl Stromberg, 1975 26. Algebraic Theories, Ernest G. Manes, 1976 27. General Topology, John L. Kelley, 1975 28. Commutative Algebra I, Oscar Zariski et Pierre Samuel, 1975 29. Commutative Algebra II, Oscar Zariski et Pierre Samuel, 1975 30. Lectures in Abstract Algebra I: Basic Concepts, Nathan Jacobson, 1976 31. Lectures in Abstract Algebra II: Linear Algebra, Nathan Jacobson, 1984 32. Lectures in Abstract Algebra III: Theory of Fields and Galois Theory, Nathan Jacobson, 1976 33. Differential Topology, Morris W. Hirsch 34. Principles of Random Walk, Frank Spitzer, 2001 35. Several Complex Variables and Banach Algebras, Herbert Alexander et John Wermer, 1998 36. Linear Topological Spaces, John L. Kelley et Isaac Namioka, 1982 37. Mathematical Logic, J. Donald Monk, 1976 38. Several Complex Variables, H. Grauert et K. Fritzsche, 1976 39. An Invitation to C*-Algebras, , 1976 40. Denumerable Markov Chains, John George Kemeny, , Anthony W. Knapp et D. S. Griffeath, 1976 41. Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol, 1989, éd. 42. Linear Representations of Finite Groups, Jean-Pierre Serre 43. Rings of Continuous Functions, et Meyer Jerison, 1976 44. Elementary Algebraic Geometry, Keith Kendig, 1977 45. Probability Theory I, M. Loève, 1977, éd. 46. Probability Theory II, M. Loève, 1978, éd. 47. Geometric Topology in Dimensions 2 and 3, Edwin E. Moise, 1977 48. General Relativity for Mathematicians, R. K. Sachs et H. Wu, 1983 49. Linear Geometry, K. W. Gruenberg et A. J. Weir, 2010 50. Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory, Harold M. Edwards, 2000 , 51. A Course in Differential Geometry, Wilhelm Klingenberg, 1983 52. , Robin Hartshorne 53. A Course in Mathematical Logic for Mathematicians, Yu. I. Manin et Boris Zilber, 2009 54. Combinatorics with Emphasis on the Theory of Graphs, Mark E. Watkins et Jack E. Graver, 1977 55. Introduction to Operator Theory I: Elements of Functional Analysis, Arlen Brown et Carl Pearcy, 1977 56. Algebraic Topology: An Introduction, William S. Massey, 1977 57. Introduction to Knot Theory, Richard H. Crowell et Ralph H. Fox, 1977 58. p-adic Numbers, p-adic Analysis, and Zeta-Functions, Neal Koblitz, 1984 59. Cyclotomic Fields, Serge Lang, 1978 60. Mathematical Methods of Classical Mechanics, V. I. Arnold, A. Weinstein et K. Vogtmann, 1989 61. Elements of Homotopy Theory, George W. Whitehead 62. Fundamentals of the Theory of Groups, M. Kargapolov et Yu. Merzliakov 63. Graph Theory, Béla Bollobás 64. Fourier Series – A Modern Introduction I, R. E. 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 68. Linear Operators on Hilbert Spaces, J. Weidmann 69. Cyclotomic Fields II, Serge Lang 70. Singular Homology Theory, William S. Massey 71. Riemann Surfaces, et Irwin Kra 72. Classical Topology and Combinatorial Group Theory, John Stillwell 73. Algebra, 74. Multiplicative Number Theory, Harold Davenport et Hugh Montgomery 75. Basic Theory of Algebraic Groups and Lie Algebras, G. P. Hochschild 76. Algebraic Geometry, S. Iitaka 77. Lectures on the Theory of Algebraic Numbers, Erich Hecke 78. A Course in Universal Algebra, Stanley Burris et H. P. Sankappanavar 79. An Introduction to Ergodic Theory, Peter Walters 80. A Course in the Theory of Groups, 81. Lectures on Riemann Surfaces, 82. Differential Forms in Algebraic Topology, Raoul Bott et Loring W. Tu 83. Introduction to Cyclotomic Fields, Lawrence C. Washington 84. A Classical Introduction to Modern Number Theory, Kenneth Ireland et Michael Rosen, 1982 ( éd. 1992) 85. Fourier Series – A Modern Introduction II, R. E. Edwards 86. Introduction to Coding Theory, J. H. van Lint, éd. 1998 87. Cohomology of Groups, Kenneth S. Brown 88. Associative Algebras, Richard 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 Frank Beardon 92. Sequences and Series in Banach Spaces, Joseph Diestel 93. Modern Geometry - Methods and Applications I, , A. T. Fomenko et S. P. Novikov 94. Foundations of Differentiable Manifolds and Lie Groups, 95. Probability, A. N. Shiryaev ; Probability-2, édition, 2019 96. A Course in Functional Analysis, John B. Conway, 1990, 97. Introduction to Elliptic Curves and Modular Forms, Neal Koblitz 98. Representations of Compact Lie Groups, Theodor Bröcker et Tammo tom Dieck 99. Finite Reflection Groups, L. C. Grove et C. T. Benson 100. Harmonic Analysis on Semigroups, Christian Berg, Jens Peter Reus Christensen et Paul Ressel 101. Galois Theory, Harold M. Edwards 102. Lie Groups, Lie Algebras, and Their Representations, Veeraualli Seshadri Varadarajan 103. Complex Analysis, Serge Lang 104. Modern Geometry - Methods and Applications II, B. A. Dubrovin, A. T. Fomenko et S. P. Novikov 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, Olli 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 et Steven E. Shreve 114. A Course in Number Theory and Cryptography, Neal Koblitz 115. Differential Geometry, Marcel Berger et Bernard Gostiaux 116. Measure and Integral, John L. Kelley et T. P. Srinivasan 117. Algebraic Groups and Class Fields, Jean-Pierre Serre 118. Analysis Now, Gert K. Pedersen 119. An Introduction to Algebraic Topology, , 120. Weakly Differentiable Functions, William P. Ziemer 121. Cyclotomic Fields I-II, Serge Lang et Karl Rubin 122. Theory of Complex Functions, Reinhold Remmert 123. Numbers, , , F. Hirzebruch et al. 124. Modern Geometry - Methods and Applications III, B. A. Dubrovin, A. T. Fomenko et S. P. Novikov, 1990 125. Complex Variables, Carlos A. Berenstein et Roger Gay 126. Linear Algebraic Groups, Armand Borel, 1991 127. A Basic Course in Algebraic Topology, William S. Massey, 1991 128. Partial Differential Equations, Jeffrey Rauch 129. Representation Theory, William Fulton et Joe Harris 130. Tensor Geometry, C. T. J. Dodson et 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, 135. Advanced Linear Algebra, Steven Roman 136. Algebra, William A. Adkins et Steven H. Weintraub 137. Harmonic Function Theory, Sheldon Axler, Paul Bourdon et Wade Ramey 138. A Course in Computational Algebraic Number Theory, Henri Cohen, 2013 ( éd. 1993) , 139. Topology and Geometry, 140. Optima and Equilibria, Jean-Pierre Aubin 141. Gröbner Bases, Thomas Becker et Volker Weispfenning 142. Real and Functional Analysis, Serge Lang, 1993 143. Measure Theory, J. L. Doob 144. Noncommutative Algebra, Benson Farb et R. Keith 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, édition 2019 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, Allen Brown et Carl Pearcy 155. Quantum Groups, Christian Kassel 156. Classical Descriptive Set Theory, Alexander S. Kechris 157. Integration and Probability, Paul Malliavin 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, Peter Borwein et Tamás Erdélyi 162. Groups and Representations, J. L. Alperin et Rowen B. Bell 163. Permutation Groups, John D. Dixon et Brian Mortimer 164. Additive Number Theory I, Melvyn B. Nathanson 165. Additive Number Theory II, Melvyn Nathanson 166. Differential Geometry, R. W. Sharpe et Shiing-Shen Chern 167. Field and Galois Theory, Patrick Morandi 168. Combinatorial Convexity and Algebraic Geometry, Günter Ewald 169. Matrix Analysis, Rajendra Bhatia 170. Sheaf Theory, Glen E. Bredon 171. Riemannian Geometry, Peter Petersen 172. Classical Topics in Complex Function Theory, Reinhold Remmert 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, Francis H. Clarke, Yu. S. Ledyaev, R. J. 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, 183. An Introduction to Banach Space Theory, Robert E. Megginson 184. Modern Graph Theory, Béla Bollobás 185. Using Algebraic Geometry, David A. Cox, John Little et Donal O'Shea 186. Fourier Analysis on Number Fields, Dinakar Ramakrishnan et Robert J. Valenza 187. Moduli of Curves, Joe Harris et Ian Morrison 188. Lectures on the Hyperreals, Robert Goldblatt 189. Lectures on Modules and Rings, T. Y. Lam 190. Problems in Algebraic Number Theory, M. Ram Murty et Jody Esmonde 191. Fundamentals of Differential Geometry, Serge Lang 192. Elements of Functional Analysis, Francis Hirsch et Gilles Lacombe