Graduate Texts in Mathematics

Graduate Texts in Mathematics (Grad. Texts in Math., GTM) (ISSN 0072-5285) は、Springer-Verlag により出版されている数学の graduate-level（院レベル）のテキストのシリーズである。

概要

いくつかは和訳され丸善出版より出版されている。このシリーズの本は、 Springer-Verlag の他の数学のシリーズと同様、標準的なサイズの黄色い本である（ページ数は様々）。（原著の）GTM シリーズは本の上部が白くなっており容易に識別できる。

このシリーズの本は類似の Undergraduate Texts in Mathematics (UTM) シリーズよりも進んだ内容が書かれる傾向にあるが、この2つのシリーズは内容や難易度についてかなりかぶる部分もあり、GTMは一概に大学院生向けとは言えない側面もある[注釈 1]。大学院を目指す人向けの内容でもありうる。

一覧

  1. Introduction to Axiomatic Set Theory, Gaisi Takeuti, Wilson M. Zaring (1982, 2nd ed., ISBN 978-1-4613-8170-9)
  2. Measure and Category - A Survey of the Analogies between Topological and Measure Spaces, John C. Oxtoby (1980, 2nd ed., ISBN 978-0-387-90508-2)
  3. Topological Vector Spaces, H. H. Schaefer, M. P. Wolff (1999, 2nd ed., ISBN 978-0-387-98726-2)
  4. A Course in Homological Algebra, Peter Hilton, Urs Stammbach (1997, 2nd ed., ISBN 978-0-387-94823-2)
  5. Categories for the Working Mathematician, Saunders Mac Lane (1998, 2nd ed., ISBN 978-0-387-98403-2)
  6. Projective Planes, Daniel R. Hughes, Fred C. Piper, (1982, ISBN 978-3-540-90043-6)
  7. A Course in Arithmetic, Jean-Pierre Serre (1996, ISBN 978-0-387-90040-7)
  8. Axiomatic Set Theory, Gaisi Takeuti, Wilson M. Zaring, (1973, ISBN 978-3-540-90050-4)
  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, Marshall. M. Cohen, (1973, ISBN 0-387-90056-X)
  11. Functions of One Complex Variable I, John B. Conway (1978, 2nd ed., ISBN 978-0-387-90328-6)
  12. Advanced Mathematical Analysis, Richard Beals (1973, ISBN 978-0-387-90065-0)
  13. Rings and Categories of Modules, Frank W. Anderson, Kent R. Fuller (1992, 2nd ed., ISBN 978-0-387-97845-1)
  14. Stable Mappings and Their Singularities, Martin Golubitsky, Victor Guillemin, (1974, ISBN 978-0-387-90072-8)
  15. Lectures in Functional Analysis and Operator Theory, Sterling K. Berberian, (1974, ISBN 978-0-387-90080-3)
  16. The Structure of Fields, David J. Winter, (1974, ISBN 978-3-540-90074-0)
  17. Random Processes, Murray Rosenblatt, (1974, ISBN 978-0-387-90085-8)
  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, 3rd ed., 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, Donald W. Barnes, John M. Mack (1975, ISBN 978-0-387-90109-1)
  23. Linear Algebra, Werner H. Greub (1981, ISBN 978-0-387-90110-7)
  24. Geometric Functional Analysis and Its Applications, Richard B. Holmes, (1975, ISBN 978-0-387-90136-7)
  25. Real and Abstract Analysis, Edwin Hewitt, Karl Stromberg (1975, ISBN 978-0-387-90138-1)
  26. Algebraic Theories, Ernest G. Manes, (1976, ISBN 978-3-540-90140-2)
  27. General Topology, John L. Kelley (1975, ISBN 978-0-387-90125-1)
  28. Commutative Algebra I, Oscar Zariski, Pierre Samuel (1975, ISBN 978-0-387-90089-6)
  29. Commutative Algebra II, Oscar Zariski, Pierre Samuel (1975, ISBN 978-0-387-90171-8)
  30. Lectures in Abstract Algebra I: Basic Concepts, Nathan Jacobson (1976, ISBN 978-0-387-90181-7)
  31. Lectures in Abstract Algebra II: Linear Algebra, Nathan Jacobson (1984, ISBN 978-0-387-90123-7)
  32. Lectures in Abstract Algebra III: Theory of Fields and Galois Theory, Nathan Jacobson (1976, ISBN 978-0-387-90168-8)
  33. Differential Topology, Morris W. Hirsch (1976, ISBN 978-0-387-90148-0)
  34. Principles of Random Walk, Frank Spitzer (2001, ISBN 978-0-387-95154-6)
  35. Several Complex Variables and Banach Algebras, Herbert Alexander, John Wermer (1998, 3rd ed., ISBN 978-0-387-98253-3)
  36. Linear Topological Spaces, John L. Kelley, Isaac Namioka (1982, ISBN 978-0-387-90169-5)
  37. Mathematical Logic, J. Donald Monk (1976, ISBN 978-0-387-90170-1)
  38. Several Complex Variables, H. Grauert, K. Fritzsche (1976, ISBN 978-0-387-90172-5)
  39. An Invitation to -Algebras, William Arveson (1976, ISBN 978-0-387-90176-3)
  40. Denumerable Markov Chains, John G. Kemeny, J. Laurie Snell, Anthony W. Knapp, D.S. Griffeath (1976, ISBN 978-0-387-90177-0)
  41. Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol (1989, 2nd ed., ISBN 978-0-387-97127-8)
  42. Linear Representations of Finite Groups, Jean-Pierre Serre, Leonhard L. Scott (1977, ISBN 978-0-387-90190-9)
  43. Rings of Continuous Functions, Leonard Gillman, Meyer Jerison (1976, ISBN 978-0-387-90198-5)
  44. Elementary Algebraic Geometry, Keith Kendig (1977, ISBN 978-0-387-90199-2)[1]
  45. Probability Theory I, M. Loève (1977, 4th ed, ISBN 978-0-387-90210-4)
  46. Probability Theory II, M. Loève (1978, 4th ed, ISBN 978-0-387-90262-3)
  47. Geometric Topology in Dimensions 2 and 3, Edwin E. Moise (1977, ISBN 978-0-387-90220-3)
  48. General Relativity for Mathematicians, R. K. Sachs, H. Wu (1983, ISBN 978-0-387-90218-0)
  49. Linear Geometry, K. W. Gruenberg, A. J. Weir (2010, ISBN 978-0-387-90227-2)
  50. Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory, Harold M. Edwards (2000, ISBN 978-0-387-90230-2)
  51. A Course in Differential Geometry, William Klingenberg, D. Hoffman (1983, ISBN 978-0-387-90255-5)
  52. Algebraic Geometry, Robin Hartshorne (2010, ISBN 978-1-4419-2807-8)
  53. A Course in Mathematical Logic for Mathematicians, Yu. I. Manin, Boris Zilber (2009, 2nd ed., ISBN 978-1-4419-0614-4)
  54. Combinatorics with Emphasis on the Theory of Graphs, Mark E. Watkins, Jack E. Graver (1977, ISBN 978-0-387-90245-6)
  55. Introduction to Operator Theory I: Elements of Functional Analysis, Arlen Brown, Carl Pearcy (1977, ISBN 978-0-387-90257-9)
  56. Algebraic Topology: An Introduction, William S. Massey (1977, ISBN 978-0-387-90271-5)
  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 (1984, 2nd ed., ISBN 978-0-387-96017-3)
  59. Cyclotomic Fields, Serge Lang (1978, ISBN 978-0-387-90307-1)[2]
  60. Mathematical Methods of Classical Mechanics, V. I. Arnold, A. Weinstein, K. Vogtmann (1989, 2nd ed., ISBN 978-0-387-96890-2)
  61. Elements of Homotopy Theory, George W. Whitehead (1978, ISBN 978-0-387-90336-1)
  62. Fundamentals of the Theory of Groups, M. I. Kargapolov, J. I. Merzljakov (1979, ISBN 978-1-4612-9966-0)
  63. Graph Theory - An Introductory Course, Béla Bollobás (1979, ISBN 978-1-4612-9969-1)
  64. Fourier Series - A Modern Introduction Volume 1, R. E. Edwards (1979, 2nd ed., ISBN 978-1-4612-6210-7)
  65. Differential Analysis on Complex Manifolds, Raymond O. Wells, Jr. (2008, 3rd ed., ISBN 978-0-387-73891-8)
  66. Introduction to Affine Group Schemes, W. C. Waterhouse (1979, ISBN 978-1-4612-6219-0)
  67. Local Fields, Jean-Pierre Serre (1979, ISBN 978-0-387-90424-5)
  68. Linear Operators in Hilbert Spaces, Joachim Weidmann（） (1980, ISBN 978-1-4612-6029-5)
  69. Cyclotomic Fields II, Serge Lang (1980, ISBN 978-1-4684-0088-5)
  70. Singular Homology Theory, William S. Massey (1980, ISBN 978-1-4684-9233-0)
  71. Riemann Surfaces, Herschel Farkas（）, Irwin Kra (1992, 2nd ed., ISBN 978-0-387-97703-4)
  72. Classical Topology and Combinatorial Group Theory, John Stillwell (1980, 2ed 1993, ISBN 978-0-3879-7970-0)
  73. Algebra, Thomas W. Hungerford (1974, ISBN 978-0-387-90518-1)
  74. Multiplicative Number Theory, Harold Davenport, Hugh Montgomery (2000, 3rd ed., ISBN 978-0-387-95097-6)
  75. Basic Theory of Algebraic Groups and Lie Algebras, G. P. Hochschild (1981, ISBN 978-1-4613-8116-7)
  76. Algebraic Geometry - An Introduction to Birational Geometry of Algebraic Varieties, Shigeru Iitaka (1982, ISBN 978-1-4613-8121-1)
  77. Lectures on the Theory of Algebraic Numbers, E. T. Hecke (1981, ISBN 978-0-387-90595-2)
  78. A Course in Universal Algebra, Burris, Stanley and Sankappanavar, H. P. (Online) (1981 ISBN 978-0-3879-0578-5)
  79. An Introduction to Ergodic Theory, Peter Walters (1982, ISBN 978-0-387-95152-2)
  80. A Course in the Theory of Groups, Derek J.S. Robinson（ドイツ語版） (1996, 2nd ed., ISBN 978-0-387-94461-6)
  81. Lectures on Riemann Surfaces, Otto Forster（） (1981, ISBN 978-0-387-90617-1)
  82. Differential Forms in Algebraic Topology, Raoul Bott, Loring W. Tu (1982, ISBN 978-0-387-90613-3)
  83. Introduction to Cyclotomic Fields, Lawrence C. Washington (1997, 2nd ed., ISBN 978-0-387-94762-4)
  84. A Classical Introduction to Modern Number Theory, Kenneth Ireland, Michael Rosen (1990, 2nd ed., ISBN 978-0-387-97329-6)
  85. Fourier Series - A Modern Introduction Volume 2, R. E. Edwards (1982, 2nd ed., ISBN 978-1-4613-8158-7)
  86. Introduction to Coding Theory, J. H. van Lint (3rd ed 1998, ISBN 3-540-64133-5)
  87. Cohomology of Groups, Kenneth S. Brown (1982, ISBN 978-1-4684-9329-0)
  88. Associative Algebras, R. S. Pierce (1982, ISBN 978-1-4757-0165-4)
  89. Introduction to Algebraic and Abelian Functions, Serge Lang (1982, 2nd ed., ISBN 978-0-387-90710-9)
  90. An Introduction to Convex Polytopes, Arne Brondsted (1983, ISBN 978-1-4612-1148-8)
  91. The Geometry of Discrete Groups, Alan F. Beardon（ドイツ語版） (1983, 2nd print 1995, ISBN 978-1-4612-7022-5)
  92. Sequences and Series in Banach Spaces, J. Diestel (1984, ISBN 978-1-4612-9734-5)
  93. Modern Geometry — Methods and Applications Part I: The Geometry of Surfaces, Transformation Groups, and Fields, B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Novikov (1992, 2nd ed., ISBN 978-0-387-97663-1)
  94. Foundations of Differentiable Manifolds and Lie Groups, Frank W. Warner (mathematician)（ドイツ語版） (1983, ISBN 978-0-387-90894-6)
  95. Probability-1, Albert N. Shiryaev (2016, 3rd ed., ISBN 978-0-387-72205-4)
  96. A Course in Functional Analysis, John B. Conway (2007, 2nd ed., ISBN 978-0-387-97245-9)
  97. Introduction to Elliptic Curves and Modular Forms, Neal I. Koblitz (1993, 2nd ed., ISBN 978-0-387-97966-3)
  98. Representations of Compact Lie Groups, Theodor Bröcker（）, Tammo tom Dieck (1985, ISBN 978-3-540-13678-1)
  99. Finite Reflection Groups, L.C. Grove, C.T. Benson (1985, 2nd ed., ISBN 978-0-387-96082-1)
  100. Harmonic Analysis on Semigroups - Theory of Positive Definite and Related Functions, Christian Berg, Jens Peter Reus Christensen, Paul Ressel (1984, ISBN 978-0-387-90925-7)
  101. Galois Theory, Harold M. Edwards (1984, ISBN 978-0-387-90980-6)
  102. Lie Groups, Lie Algebras, and Their Representations, V. S. Varadarajan (1984, ISBN 978-0-387-90969-1)
  103. Complex Analysis, Serge Lang (1999, 4th ed., ISBN 978-0-387-98592-3)
  104. Modern Geometry — Methods and Applications Part II: The Geometry and Topology of Manifolds, B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Novikov (1985, ISBN 978-0-387-96162-0)
  105. SL2(R), Serge Lang (1985, ISBN 978-0-387-96198-9)
  106. The Arithmetic of Elliptic Curves, Joseph H. Silverman (2009, 2nd ed., ISBN 978-0-387-09493-9)
  107. Applications of Lie Groups to Differential Equations, Peter J. Olver (2ed 1993, ISBN 978-1-4684-0276-6)
  108. Holomorphic Functions and Integral Representations in Several Complex Variables, R. Michael Range (1986, ISBN 978-0-387-96259-7)
  109. Univalent Functions and Teichmüller Spaces, O. Lehto (1987, ISBN 978-1-4613-8654-4)
  110. Algebraic Number Theory, Serge Lang (1994, 2nd ed., ISBN 978-0-387-94225-4)
  111. Elliptic Curves, Dale Husemöller（） (2004, 2nd ed., ISBN 978-0-387-95490-5)
  112. Elliptic Functions, Serge Lang (1987, 2nd ed., ISBN 978-0-387-96508-6)
  113. Brownian Motion and Stochastic Calculus, Ioannis Karatzas, Steven Shreve (2ed 2000, ISBN 978-0-387-97655-6)
  114. A Course in Number Theory and Cryptography, Neal Koblitz (2ed 1994, ISBN 978-1-4684-0312-1)
  115. Differential Geometry: Manifolds, Curves and Surfaces, Marcel Berger, Bernard Gostiaux (1988, ISBN 978-0-387-96626-7)
  116. Measure and Integral — Volume 1, John L. Kelley, T.P. Srinivasan (1988, ISBN 978-0-387-96633-5)
  117. Algebraic Groups and Class Fields, Jean-Pierre Serre (1988, ISBN 978-1-4612-6993-9)
  118. Analysis Now, Gert K. Pedersen (1989, ISBN 978-0-387-96788-2)
  119. An Introduction to Algebraic Topology, Joseph J. Rotman, (1988, ISBN 978-0-3879-6678-6)
  120. Weakly Differentiable Functions — Sobolev Spaces and Functions of Bounded Variation, William P. Ziemer (1989, ISBN 978-0-387-97017-2)
  121. Cyclotomic Fields I and II, Serge Lang (1990, Combined 2nd ed. ISBN 978-1-4612-6972-4)[3]
  122. Theory of Complex Functions, Reinhold Remmert (1991, ISBN 978-0-387-97195-7)
  123. Numbers, Heinz-Dieter Ebbinghaus et al. (1990, ISBN 978-0-387-97497-2)
  124. Modern Geometry — Methods and Applications Part III: Introduction to Homology Theory, B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Novikov (1990, ISBN 978-0-387-97271-8)
  125. Complex Variables — An Introduction, Carlos A. Berenstein, Roger Gay (1991, ISBN 978-0-387-97349-4)[4]
  126. Linear Algebraic Groups, Armand Borel (1991, ISBN 978-1-4612-6954-0)
  127. A Basic Course in Algebraic Topology, William S. Massey (1991, ISBN 978-0-3879-7430-9)
  128. Partial Differential Equations, Jeffrey Rauch (1991, ISBN 978-1-4612-6959-5)
  129. Representation Theory, William Fulton, Joe Harris (1991, ISBN 978-3-5400-0539-1)
  130. Tensor Geometry — The Geometric Viewpoint and its Uses, Christopher T. J. Dodson, Timothy Poston (1991, 2nd ed., ISBN 978-3-540-52018-4)
  131. A First Course in Noncommutative Rings, T. Y. Lam (2001, 2nd ed., ISBN 978-0-387-95183-6)
  132. Iteration of Rational Functions — Complex Analytic Dynamical Systems, Alan F. Beardon (1991, ISBN 978-0-387-95151-5)
  133. Algebraic Geometry, Joe Harris (1992, ISBN 978-0-387-97716-4)
  134. Coding and Information Theory, Steven Roman (1992, ISBN 978-0-387-97812-3)
  135. Advanced Linear Algebra, Steven Roman (2008, 3rd ed., ISBN 978-0-387-72828-5)
  136. Algebra — An Approach via Module Theory, William Adkins, Steven Weintraub (1992, ISBN 978-0-387-97839-0)
  137. Harmonic Function Theory, Sheldon Axler, Paul Bourdon, Wade Ramey (2001, 2nd ed., ISBN 978-0-387-95218-5)
  138. A Course in Computational Algebraic Number Theory, Henri Cohen (1996, ISBN 0-387-55640-0)
  139. Topology and Geometry, Glen E. Bredon (1993, ISBN 978-0-387-97926-7)
  140. Optima and Equilibria, Jean-Pierre Aubin (1998, ISBN 978-3-642-08446-1)
  141. Gröbner Bases — A Computational Approach to Commutative Algebra, Thomas Becker, Volker Weispfenning (1993, ISBN 978-0-387-97971-7)
  142. Real and Functional Analysis, Serge Lang (1993, 3rd ed., ISBN 978-0-387-94001-4)
  143. Measure Theory, J. L. Doob (1994, ISBN 978-0-387-94055-7)
  144. Noncommutative Algebra, Benson Farb, R. Keith Dennis (1993, ISBN 978-0-387-94057-1)
  145. Homology Theory — An Introduction to Algebraic Topology, James W. Vick (1994, 2nd ed., ISBN 978-0-387-94126-4)
  146. Computability — A Mathematical Sketchbook, Douglas S. Bridges (1994, ISBN 978-0-387-94174-5)
  147. Algebraic K-Theory and Its Applications, Jonathan Rosenberg (1994, ISBN 978-0-387-94248-3)
  148. An Introduction to the Theory of Groups, Joseph J. Rotman (1995, 4th ed., ISBN 978-0-387-94285-8)
  149. Foundations of Hyperbolic Manifolds, John G. Ratcliffe (2006, 2nd ed., ISBN 978-0-387-94348-0)
  150. Commutative Algebra — with a View Toward Algebraic Geometry, David Eisenbud (1995, ISBN 978-0-387-94269-8)
  151. Advanced Topics in the Arithmetic of Elliptic Curves, Joseph H. Silverman (1994, ISBN 978-0-387-94328-2)[5]
  152. Lectures on Polytopes, Günter M. Ziegler (1995, ISBN 978-0-387-94365-7)
  153. Algebraic Topology — A First Course, William Fulton (1995, ISBN 978-0-387-94327-5)
  154. An Introduction to Analysis, Arlen Brown, Carl Pearcy (1995, ISBN 978-0-387-94369-5)
  155. Quantum Groups, Christian Kassel (1995, ISBN 978-0-387-94370-1)
  156. Classical Descriptive Set Theory, Alexander S. Kechris (1995, ISBN 978-0-387-94374-9)
  157. Integration and Probability, Paul Malliavin (1995, ISBN 978-0-387-94409-8)[6]
  158. Field Theory, Steven Roman (2006, 2nd ed., ISBN 978-0-387-27677-9)
  159. Functions of One Complex Variable II, John B. Conway (1995, ISBN 978-0-387-94460-9)
  160. Differential and Riemannian Manifolds, Serge Lang (1995, ISBN 978-0-387-94338-1)
  161. Polynomials and Polynomial Inequalities, Peter Borwein, Tamas Erdelyi (1995, ISBN 978-0-387-94509-5)
  162. Groups and Representations, J. L. Alperin, Rowen B. Bell (1995, ISBN 978-0-387-94526-2)
  163. Permutation Groups, John D. Dixon, Brian Mortimer (1996, ISBN 978-0-387-94599-6)
  164. Additive Number Theory The Classical Bases, Melvyn B. Nathanson (1996, ISBN 978-0-387-94656-6)
  165. Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Melvyn B. Nathanson (1996, ISBN 978-0-387-94655-9)
  166. Differential Geometry — Cartan's Generalization of Klein's Erlangen Program, R. W. Sharpe (1997, ISBN 978-0-387-94732-7)
  167. Field and Galois Theory, Patrick Morandi (1996, ISBN 978-0-387-94753-2)
  168. Combinatorial Convexity and Algebraic Geometry, Guenter Ewald (1996, ISBN 978-1-4612-8476-5)
  169. Matrix Analysis, Rajendra Bhatia (1997, ISBN 978-0-387-94846-1)
  170. Sheaf Theory, Glen E. Bredon (1997, 2nd ed., ISBN 978-0-387-94905-5)
  171. Riemannian Geometry, Peter Petersen (2016, 3rd ed., ISBN 978-3-319-26652-7)
  172. Classical Topics in Complex Function Theory, Reinhold Remmert (1998, ISBN 978-0-387-98221-2)
  173. Graph Theory, Reinhard Diestel（） (2017, 5th ed., ISBN 978-3-662-53621-6)
  174. Foundations of Real and Abstract Analysis, Douglas S. Bridges (1998, ISBN 978-0-387-98239-7)
  175. An Introduction to Knot Theory, W. B. Raymond Lickorish (1997, ISBN 978-1-4612-6869-7)
  176. Introduction to Riemannian Manifolds, John M. Lee (2018, 2nd ed., ISBN 978-3-319-91754-2)[7]
  177. Analytic Number Theory , Donald J. Newman (1998, ISBN 978-0-387-98308-0)
  178. Nonsmooth Analysis and Control Theory, Francis H. Clarke, Yuri S. Ledyaev, Ronald J. Stern, Peter R. Wolenski (1998, ISBN 978-0-387-98336-3)
  179. Banach Algebra Techniques in Operator Theory, Ronald G. Douglas (1998, 2nd ed., ISBN 978-0-387-98377-6)
  180. A Course on Borel Sets, S. M. Srivastava (1998, ISBN 978-0-387-98412-4)
  181. Numerical Analysis, Rainer Kress (1998, ISBN 978-0-387-98408-7)
  182. Ordinary Differential Equations, Wolfgang Walter (1998, ISBN 978-0-387-98459-9)
  183. An Introduction to Banach Space Theory, Robert E. Megginson (1998, ISBN 978-0-387-98431-5)
  184. Modern Graph Theory, Béla Bollobás (1998, ISBN 978-0-387-98488-9)
  185. Using Algebraic Geometry, David A. Cox, John Little, Donal O'Shea (2005, 2nd ed., ISBN 978-0-387-20706-3)
  186. Fourier Analysis on Number Fields, Dinakar Ramakrishnan, Robert J. Valenza (1999, ISBN 978-0-387-98436-0)
  187. Moduli of Curves, Joe Harris, Ian Morrison (1998, ISBN 978-0-387-98438-4)
  188. Lectures on the Hyperreals, Robert Goldblatt (1998, ISBN 978-1-4612-6841-3)
  189. Lectures on Modules and Rings, Tsit-Yuen Lam (1999, ISBN 978-0-387-98428-5)
  190. Problems in Algebraic Number Theory, M. Ram Murty, Jody Indigo Esmonde (2005, 2nd ed., ISBN 978-0-387-22182-3)
  191. Fundamentals of Differential Geometry, Serge Lang (1999, ISBN 978-0-387-98593-0)
  192. Elements of Functional Analysis, Francis Hirsch, Gilles Lacombe (1999, ISBN 978-0-387-98524-4)
  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 (2000, ISBN 978-0-387-98463-6)
  195. Elementary Methods in Number Theory, Melvyn B. Nathanson (2000, ISBN 978-0-387-98912-9)
  196. Basic Homological Algebra, M. Scott Osborne (2000, ISBN 978-0-387-98934-1)
  197. The Geometry of Schemes, Eisenbud, Joe Harris (2000, ISBN 978-0-387-98638-8)
  198. A Course in p-adic Analysis, Alain M. Robert (2000, ISBN 978-0-387-98669-2)
  199. Theory of Bergman Spaces, Hakan Hedenmalm, Boris Korenblum, Kehe Zhu (2000, ISBN 978-0-387-98791-0)
  200. An Introduction to Riemann-Finsler Geometry, David Bao, Shiing-Shen Chern, Zhongmin Shen (2000, ISBN 978-1-4612-7070-6)
  201. Diophantine Geometry, Marc Hindry, Joseph H. Silverman (2000, ISBN 978-0-387-98975-4)
  202. Introduction to Topological Manifolds, John M. Lee (2011, 2nd ed., ISBN 978-1-4419-7939-1)
  203. The Symmetric Group — Representations, Combinatorial Algorithms, and Symmetric Functions, Bruce E. Sagan (2001, 2nd ed., ISBN 978-0-387-95067-9)
  204. Galois Theory, Jean-Pierre Escofier (2001, ISBN 978-0-387-98765-1)
  205. Rational Homotopy Theory, Yves Félix, Stephen Halperin, Jean-Claude Thomas (2000, ISBN 978-0-387-95068-6)
  206. Problems in Analytic Number Theory, M. Ram Murty (2007, 2nd ed., ISBN 978-0-387-95143-0)
  207. Algebraic Graph Theory, Chris Godsil, Gordon 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 (2002, Revised 3rd ed, ISBN 978-0-387-95385-4)
  212. Lectures on Discrete Geometry, Jiří Matoušek (2002, ISBN 978-0-387-95374-8)
  213. From Holomorphic Functions to Complex Manifolds, Klaus Fritzsche（）, Hans Grauert (2002, ISBN 978-0-387-95395-3)
  214. Partial Differential Equations, Jürgen Jost, (2013, 3rd ed., ISBN 978-1-4614-4808-2)
  215. Algebraic Functions and Projective Curves, David M. Goldschmidt, (2003, ISBN 978-0-387-95432-5)
  216. Matrices — Theory and Applications, Denis Serre, (2010, 2nd ed., ISBN 978-1-4419-7682-6)
  217. Model Theory: An Introduction, David Marker, (2002, ISBN 978-0-387-98760-6)
  218. Introduction to Smooth Manifolds, John M. Lee (2012, 2nd ed., ISBN 978-1-4419-9981-8)
  219. The Arithmetic of Hyperbolic 3-Manifolds, Colin Maclachlan, Alan W. Reid, (2003, ISBN 978-0-387-98386-8)
  220. Smooth Manifolds and Observables, Jet Nestruev, (2003, ISBN 978-0-387-95543-8 )
  221. Convex Polytopes, Branko Grünbaum (2003, ISBN 0-387-00424-6)
  222. Lie Groups, Lie Algebras, and Representations - An Elementary Introduction, Brian C. Hall, (2015, 2nd ed., ISBN 978-3-319-13466-6)
  223. Fourier Analysis and its Applications, Anders Vretblad, (2003, ISBN 978-0-387-00836-3)
  224. Metric Structures in Differential Geometry, Walschap, G., (2004, ISBN 978-0-387-20430-7)
  225. Lie Groups, Daniel Bump, (2013, 2nd ed., ISBN 978-1-4614-8023-5)
  226. Spaces of Holomorphic Functions in the Unit Ball, Kehe Zhu, (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, Daniel W. Stroock, (2014, 2nd ed., 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, Graham., Ward, T., (2005, ISBN 978-1-85233-917-3)
  233. Topics in Banach Space Theory, Albiac, F., Kalton, N. J., (2016, 2nd ed., ISBN 978-3-319-31555-3)
  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, Ruben A. Martinez-Avendano, Peter Rosenthal, (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: Tools and 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, Adrian Bondy, U.S.R. Murty, (2008, 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, Loukas Grafakos (2014, 3rd ed., ISBN 978-1-4939-1193-6)
  250. Modern Fourier Analysis, Loukas Grafakos (2014, 3rd ed., ISBN 978-1-4939-1229-2)
  251. The Finite Simple Groups, Robert A. Wilson (2009, ISBN 978-1-84800-987-5)
  252. Distributions and Operators, Gerd Grubb, (2009, ISBN 978-0-387-84894-5)
  253. Elementary Functional Analysis, MacCluer, Barbara D., (2009, ISBN 978-0-387-85528-8)
  254. Algebraic Function Fields and Codes, Henning Stichtenoth（）, (2009, ISBN 978-3-540-76877-7)
  255. Symmetry, Representations, and Invariants, Goodman, Roe, Wallach, Nolan R., (2009, ISBN 978-0-387-79851-6)
  256. A Course in Commutative Algebra, Kemper, Gregor, (2010, ISBN 978-3-642-03544-9)
  257. Deformation Theory, Robin Hartshorne, (2010, ISBN 978-1-4419-1595-5)
  258. Foundations of Optimization in Finite Dimensions, Osman Guler, (2010, ISBN 978-0-387-34431-7)
  259. Ergodic Theory - with a view towards Number Theory, Thomas Ward, Manfred Einsiedler, (2011, ISBN 978-0-85729-020-5)
  260. Monomial Ideals, Jürgen Herzog, Hibi Takayuki(2010, ISBN 978-0-85729-105-9)
  261. Probability and Stochastics, Erhan Cinlar, (2011, ISBN 978-0-387-87858-4)
  262. Essentials of Integration Theory for Analysis, Daniel W. Stroock, (2012, ISBN 978-1-4614-1134-5)
  263. Analysis on Fock Spaces, Kehe Zhu, (2012, ISBN 978-1-4419-8800-3)
  264. Functional Analysis, Calculus of Variations and Optimal Control, Francis H. Clarke, (2013, ISBN 978-1-4471-4819-7)
  265. Unbounded Self-adjoint Operators on Hilbert Space, Konrad Schmüdgen, (2012, ISBN 978-94-007-4752-4)
  266. Calculus Without Derivatives, Jean-Paul Penot, (2012, ISBN 978-1-4614-4537-1)
  267. Quantum Theory for Mathematicians, Brian C. Hall, (2013, ISBN 978-1-4614-7115-8)
  268. Geometric Analysis of the Bergman Kernel and Metric, Krantz, Steven G., (2013, ISBN 978-1-4614-7923-9)
  269. Locally Convex Spaces, M Scott Osborne, (2014, ISBN 978-3-319-02044-0)
  270. Fundamentals of Algebraic Topology, Steven Weintraub, (2014, ISBN 978-1-4939-1843-0)
  271. Integer Programming, Michelangelo Conforti, Gérard P. Cornuéjols, Giacomo Zambelli, (2014, ISBN 978-3-319-11007-3)
  272. Operator Theoretic Aspects of Ergodic Theory, Tanja Eisner, Bálint Farkas, Markus Haase, Rainer Nagel, (2015, ISBN 978-3-319-16897-5)
  273. Homotopical Topology, Anatoly Fomenko, Dmitry Fuchs, (2016, 2nd ed., ISBN 978-3-319-23487-8)
  274. Brownian Motion, Martingales, and Stochastic Calculus, Jean-François Le Gall, (2016, ISBN 978-3-319-31088-6)
  275. Differential Geometry - Connections, Curvature, and Characteristic Classes, Loring W. Tu (2017, ISBN 978-3-319-55082-4)
  276. Functional Analysis, Spectral Theory, and Applications, Manfred Einsiedler, Thomas Ward (2017, ISBN 978-3-319-58539-0)
  277. The Moment Problem, Konrad Schmüdgen (2017, ISBN 978-3-319-64545-2)
  278. Modern Real Analysis, William P. Ziemer (2017, 2nd ed., ISBN 978-3-319-64628-2)
  279. Binomial Ideals, Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi (2018, ISBN 978-3-319-95347-2)
  280. Introduction to Real Analysis, Christopher Heil (2019, ISBN 978-3-030-26901-2)
  281. Intersection Homology & Perverse Sheaves with Applications to Singularities, Laurenţiu G. Maxim (2019, ISBN 978-3-030-27644-7)
  282. Measure, Integration & Real Analysis, Sheldon Axler (2020, ISBN 978-3-030-33143-6)
  283. Basic Representation Theory of Algebras, Ibrahim Assem, Flávio U Coelho (2020, ISBN 978-3-030-35117-5)
  284. Spectral Theory - Basic Concepts and Applications, David Borthwick (2020, ISBN 978-3-030-38001-4)
  285. An Invitation to Unbounded Representations of Algebras on Hilbert Space, Konrad Schmüdgen (2020, ISBN 978-3-030-46365-6)
  286. Lectures on Convex Geometry, Daniel Hug, Wolfgang Weilt (2020, ISBN 978-3-030-50179-2)
  287. Explorations in Complex Functions, Richard Beals, Roderick S. C. Wong (2020, ISBN 978-3-030-54532-1)
  288. Quaternion Algebras, John Voight (2020, ISBN 978-3-030-56692-0)
  289. Ergodic Dynamics - From Basic Theory to Applications, Jane M. Hawkins (2020, ISBN 978-3-030-59242-4)
  290. Lessons in Enumerative Combinatorics, Omer Egecioglu , Adriano Garsia (2021, ISBN 978-3-030-71249-5)
  291. Mathematical Logic, Heinz-Dieter Ebbinghaus, Jörg Flum, Wolfgang Thomas (2021, 3rd ed. ISBN 978-3-030-73839-6)
  292. Random Walk, Brownian Motion and Martingales, Rabi Bhattacharya, Edward C. Waymire (2021, ISBN 978-3-030-78939-8)
  293. Quaternion Algebras
  294. Stationary Processes and Discrete Parameter Markov Processes(予定)
  295. Measure Theory, Probability, and Stochastic Processes(予定)
  296. Partial Differential Equations(予定)
  297. Drinfeld Modules(予定)

脚注

[脚注の使い方]

注釈

  1. ^ GTMを一人で読むといった所業が、大学学部の4年でできるのか大学院修士の1年でできるのか、教員によって見解が異なるため。

出典

  1. ^ Also published from Dover Publications as the second edition. (2015, ISBN 978-0-486-78608-7)
  2. ^ Note that this volume of the series with volume 69 were combined as volume 121.
  3. ^ Originally published as volumes 59 and 69 in this series.
  4. ^ A companion volume by the same authors: Complex Analysis and Special Topics in Harmonic Analysis (1995, ISBN 978-1-4613-8445-8).
  5. ^ This volume is subsequent to volume 106 in this series.
  6. ^ 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, ISBN 978-0-387-94421-0)
  7. ^ The first edition is Riemannian Manifolds: An Introduction to Curvature.

外部リンク