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。 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。大学院を目指す人向けの内容でもありうる。 Introduction to Axiomatic Set Theory, Gaisi Takeuti, Wilson M. Zaring (1982, 2nd ed., ISBN 978-1-4613-8170-9) 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) Topological Vector Spaces, H. H. Schaefer, M. P. Wolff (1999, 2nd ed., ISBN 978-0-387-98726-2) A Course in Homological Algebra, Peter Hilton, Urs Stammbach (1997, 2nd ed., ISBN 978-0-387-94823-2) Categories for the Working Mathematician, Saunders Mac Lane (1998, 2nd ed., 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 (1978, 2nd ed., 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, 2nd ed., 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, 3rd ed., 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 (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, 3rd ed., ISBN 978-0-387-98253-3) 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 C ∗ {\displaystyle C^{*}} -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, ISBN 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, 2nd ed., 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, 2nd ed., ISBN 978-0-387-96017-3) Cyclotomic Fields, Serge Lang (1978, ISBN 978-0-387-90307-1) Mathematical Methods of Classical Mechanics, V. I. Arnold, A. Weinstein, K. Vogtmann (1989, 2nd ed., ISBN 978-0-387-96890-2) Elements of Homotopy Theory, George W. Whitehead (1978, ISBN 978-0-387-90336-1) Fundamentals of the Theory of Groups, M. I. Kargapolov, J. I. Merzljakov (1979, ISBN 978-1-4612-9966-0) Graph Theory - An Introductory Course, Béla Bollobás (1979, ISBN 978-1-4612-9969-1) Fourier Series - A Modern Introduction Volume 1, R. E. Edwards (1979, 2nd ed., ISBN 978-1-4612-6210-7) Differential Analysis on Complex Manifolds, Raymond O. Wells, Jr. (2008, 3rd ed., ISBN 978-0-387-73891-8) Introduction to Affine Group Schemes, W. C. Waterhouse (1979, ISBN 978-1-4612-6219-0) Local Fields, Jean-Pierre Serre (1979, ISBN 978-0-387-90424-5) Linear Operators in Hilbert Spaces, Joachim Weidmann（） (1980, ISBN 978-1-4612-6029-5) Cyclotomic Fields II, Serge Lang (1980, ISBN 978-1-4684-0088-5) Singular Homology Theory, William S. Massey (1980, ISBN 978-1-4684-9233-0) Riemann Surfaces, Herschel Farkas（）, Irwin Kra (1992, 2nd ed., ISBN 978-0-387-97703-4) Classical Topology and Combinatorial Group Theory, John Stillwell (1980, 2ed 1993, ISBN 978-0-3879-7970-0) Algebra, Thomas W. Hungerford (1974, ISBN 978-0-387-90518-1) Multiplicative Number Theory, Harold Davenport, Hugh Montgomery (2000, 3rd ed., ISBN 978-0-387-95097-6) Basic Theory of Algebraic Groups and Lie Algebras, G. P. Hochschild (1981, ISBN 978-1-4613-8116-7) Algebraic Geometry - An Introduction to Birational Geometry of Algebraic Varieties, Shigeru Iitaka (1982, ISBN 978-1-4613-8121-1) Lectures on the Theory of Algebraic Numbers, E. T. Hecke (1981, ISBN 978-0-387-90595-2) A Course in Universal Algebra, Burris, Stanley and Sankappanavar, H. P. (Online) (1981 ISBN 978-0-3879-0578-5) An Introduction to Ergodic Theory, Peter Walters (1982, ISBN 978-0-387-95152-2) 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) Lectures on Riemann Surfaces, Otto Forster（） (1981, ISBN 978-0-387-90617-1) Differential Forms in Algebraic Topology, Raoul Bott, Loring W. Tu (1982, ISBN 978-0-387-90613-3) Introduction to Cyclotomic Fields, Lawrence C. Washington (1997, 2nd ed., ISBN 978-0-387-94762-4) A Classical Introduction to Modern Number Theory, Kenneth Ireland, Michael Rosen (1990, 2nd ed., ISBN 978-0-387-97329-6) Fourier Series - A Modern Introduction Volume 2, R. E. Edwards (1982, 2nd ed., ISBN 978-1-4613-8158-7) Introduction to Coding Theory, J. H. van Lint (3rd ed 1998, ISBN 3-540-64133-5) Cohomology of Groups, Kenneth S. Brown (1982, ISBN 978-1-4684-9329-0) Associative Algebras, R. S. Pierce (1982, ISBN 978-1-4757-0165-4) Introduction to Algebraic and Abelian Functions, Serge Lang (1982, 2nd ed., ISBN 978-0-387-90710-9) An Introduction to Convex Polytopes, Arne Brondsted (1983, ISBN 978-1-4612-1148-8) The Geometry of Discrete Groups, Alan F. Beardon（ドイツ語版） (1983, 2nd print 1995, ISBN 978-1-4612-7022-5) Sequences and Series in Banach Spaces, J. Diestel (1984, ISBN 978-1-4612-9734-5) 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) Foundations of Differentiable Manifolds and Lie Groups, Frank W. Warner (mathematician)（ドイツ語版） (1983, ISBN 978-0-387-90894-6) Probability-1, Albert N. Shiryaev (2016, 3rd ed., ISBN 978-0-387-72205-4) A Course in Functional Analysis, John B. Conway (2007, 2nd ed., ISBN 978-0-387-97245-9) Introduction to Elliptic Curves and Modular Forms, Neal I. Koblitz (1993, 2nd ed., ISBN 978-0-387-97966-3) Representations of Compact Lie Groups, Theodor Bröcker（）, Tammo tom Dieck (1985, ISBN 978-3-540-13678-1) Finite Reflection Groups, L.C. Grove, C.T. Benson (1985, 2nd ed., ISBN 978-0-387-96082-1) Harmonic Analysis on Semigroups - Theory of Positive Definite and Related Functions, Christian Berg, Jens Peter Reus Christensen, Paul Ressel (1984, ISBN 978-0-387-90925-7) Galois Theory, Harold M. Edwards (1984, ISBN 978-0-387-90980-6) Lie Groups, Lie Algebras, and Their Representations, V. S. Varadarajan (1984, ISBN 978-0-387-90969-1) Complex Analysis, Serge Lang (1999, 4th ed., ISBN 978-0-387-98592-3) 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) SL2(R), Serge Lang (1985, ISBN 978-0-387-96198-9) The Arithmetic of Elliptic Curves, Joseph H. Silverman (2009, 2nd ed., ISBN 978-0-387-09493-9) Applications of Lie Groups to Differential Equations, Peter J. Olver (2ed 1993, ISBN 978-1-4684-0276-6) Holomorphic Functions and Integral Representations in Several Complex Variables, R. Michael Range (1986, ISBN 978-0-387-96259-7) Univalent Functions and Teichmüller Spaces, O. Lehto (1987, ISBN 978-1-4613-8654-4) Algebraic Number Theory, Serge Lang (1994, 2nd ed., ISBN 978-0-387-94225-4) Elliptic Curves, Dale Husemöller（） (2004, 2nd ed., ISBN 978-0-387-95490-5) Elliptic Functions, Serge Lang (1987, 2nd ed., ISBN 978-0-387-96508-6) Brownian Motion and Stochastic Calculus, Ioannis Karatzas, Steven Shreve (2ed 2000, ISBN 978-0-387-97655-6) A Course in Number Theory and Cryptography, Neal Koblitz (2ed 1994, ISBN 978-1-4684-0312-1) Differential Geometry: Manifolds, Curves and Surfaces, Marcel Berger, Bernard Gostiaux (1988, ISBN 978-0-387-96626-7) Measure and Integral — Volume 1, John L. Kelley, T.P. Srinivasan (1988, ISBN 978-0-387-96633-5) Algebraic Groups and Class Fields, Jean-Pierre Serre (1988, ISBN 978-1-4612-6993-9) Analysis Now, Gert K. Pedersen (1989, ISBN 978-0-387-96788-2) An Introduction to Algebraic Topology, Joseph J. Rotman, (1988, ISBN 978-0-3879-6678-6) Weakly Differentiable Functions — Sobolev Spaces and Functions of Bounded Variation, William P. Ziemer (1989, ISBN 978-0-387-97017-2) Cyclotomic Fields I and II, Serge Lang (1990, Combined 2nd ed. ISBN 978-1-4612-6972-4) Theory of Complex Functions, Reinhold Remmert (1991, ISBN 978-0-387-97195-7) Numbers, Heinz-Dieter Ebbinghaus et al. (1990, ISBN 978-0-387-97497-2) 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) Complex Variables — An Introduction, Carlos A. Berenstein, Roger Gay (1991, ISBN 978-0-387-97349-4) Linear Algebraic Groups, Armand Borel (1991, ISBN 978-1-4612-6954-0) A Basic Course in Algebraic Topology, William S. Massey (1991, ISBN 978-0-3879-7430-9) Partial Differential Equations, Jeffrey Rauch (1991, ISBN 978-1-4612-6959-5) Representation Theory, William Fulton, Joe Harris (1991, ISBN 978-3-5400-0539-1) Tensor Geometry — The Geometric Viewpoint and its Uses, Christopher T. J. Dodson, Timothy Poston (1991, 2nd ed., ISBN 978-3-540-52018-4) A First Course in Noncommutative Rings, T. Y. Lam (2001, 2nd ed., ISBN 978-0-387-95183-6) Iteration of Rational Functions — Complex Analytic Dynamical Systems, Alan F. Beardon (1991, ISBN 978-0-387-95151-5) Algebraic Geometry, Joe Harris (1992, ISBN 978-0-387-97716-4) Coding and Information Theory, Steven Roman (1992, ISBN 978-0-387-97812-3) Advanced Linear Algebra, Steven Roman (2008, 3rd ed., ISBN 978-0-387-72828-5) Algebra — An Approach via Module Theory, William Adkins, Steven Weintraub (1992, ISBN 978-0-387-97839-0) Harmonic Function Theory, Sheldon Axler, Paul Bourdon, Wade Ramey (2001, 2nd ed., ISBN 978-0-387-95218-5) A Course in Computational Algebraic Number Theory, Henri Cohen (1996, ISBN 0-387-55640-0) Topology and Geometry, Glen E. Bredon (1993, ISBN 978-0-387-97926-7) Optima and Equilibria, Jean-Pierre Aubin (1998, ISBN 978-3-642-08446-1) Gröbner Bases — A Computational Approach to Commutative Algebra, Thomas Becker, Volker Weispfenning (1993, ISBN 978-0-387-97971-7) Real and Functional Analysis, Serge Lang (1993, 3rd ed., ISBN 978-0-387-94001-4) Measure Theory, J. L. Doob (1994, ISBN 978-0-387-94055-7) Noncommutative Algebra, Benson Farb, R. Keith Dennis (1993, ISBN 978-0-387-94057-1) Homology Theory — An Introduction to Algebraic Topology, James W. Vick (1994, 2nd ed., ISBN 978-0-387-94126-4) Computability — A Mathematical Sketchbook, Douglas S. Bridges (1994, ISBN 978-0-387-94174-5) Algebraic K-Theory and Its Applications, Jonathan Rosenberg (1994, ISBN 978-0-387-94248-3) An Introduction to the Theory of Groups, Joseph J. Rotman (1995, 4th ed., ISBN 978-0-387-94285-8) Foundations of Hyperbolic Manifolds, John G. Ratcliffe (2006, 2nd ed., ISBN 978-0-387-94348-0) Commutative Algebra — with a View Toward Algebraic Geometry, David Eisenbud (1995, ISBN 978-0-387-94269-8) Advanced Topics in the Arithmetic of Elliptic Curves, Joseph H. Silverman (1994, ISBN 978-0-387-94328-2) Lectures on Polytopes, Günter M. Ziegler (1995, ISBN 978-0-387-94365-7) Algebraic Topology — A First Course, William Fulton (1995, ISBN 978-0-387-94327-5) An Introduction to Analysis, Arlen Brown, Carl Pearcy (1995, ISBN 978-0-387-94369-5) Quantum Groups, Christian Kassel (1995, ISBN 978-0-387-94370-1) Classical Descriptive Set Theory, Alexander S. Kechris (1995, ISBN 978-0-387-94374-9) Integration and Probability, Paul Malliavin (1995, ISBN 978-0-387-94409-8) Field Theory, Steven Roman (2006, 2nd ed., ISBN 978-0-387-27677-9) Functions of One Complex Variable II, John B. Conway (1995, ISBN 978-0-387-94460-9) Differential and Riemannian Manifolds, Serge Lang (1995, ISBN 978-0-387-94338-1) Polynomials and Polynomial Inequalities, Peter Borwein, Tamas Erdelyi (1995, ISBN 978-0-387-94509-5) Groups and Representations, J. L. Alperin, Rowen B. Bell (1995, ISBN 978-0-387-94526-2) Permutation Groups, John D. Dixon, Brian Mortimer (1996, ISBN 978-0-387-94599-6) Additive Number Theory The Classical Bases, Melvyn B. Nathanson (1996, ISBN 978-0-387-94656-6) Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Melvyn B. Nathanson (1996, ISBN 978-0-387-94655-9) Differential Geometry — Cartan's Generalization of Klein's Erlangen Program, R. W. Sharpe (1997, ISBN 978-0-387-94732-7) Field and Galois Theory, Patrick Morandi (1996, ISBN 978-0-387-94753-2) Combinatorial Convexity and Algebraic Geometry, Guenter Ewald (1996, ISBN 978-1-4612-8476-5) Matrix Analysis, Rajendra Bhatia (1997, ISBN 978-0-387-94846-1) Sheaf Theory, Glen E. Bredon (1997, 2nd ed., ISBN 978-0-387-94905-5) Riemannian Geometry, Peter Petersen (2016, 3rd ed., ISBN 978-3-319-26652-7) Classical Topics in Complex Function Theory, Reinhold Remmert (1998, ISBN 978-0-387-98221-2) Graph Theory, Reinhard Diestel（） (2017, 5th ed., ISBN 978-3-662-53621-6) Foundations of Real and Abstract Analysis, Douglas S. Bridges (1998, ISBN 978-0-387-98239-7) An Introduction to Knot Theory, W. B. Raymond Lickorish (1997, ISBN 978-1-4612-6869-7) Introduction to Riemannian Manifolds, John M. Lee (2018, 2nd ed., ISBN 978-3-319-91754-2) Analytic Number Theory , Donald J. Newman (1998, ISBN 978-0-387-98308-0) Nonsmooth Analysis and Control Theory, Francis H. Clarke, Yuri S. Ledyaev, Ronald J. Stern, Peter R. Wolenski (1998, ISBN 978-0-387-98336-3) Banach Algebra Techniques in Operator Theory, Ronald G. Douglas (1998, 2nd ed., ISBN 978-0-387-98377-6) A Course on Borel Sets, S. M. Srivastava (1998, ISBN 978-0-387-98412-4) Numerical Analysis, Rainer Kress (1998, ISBN 978-0-387-98408-7) Ordinary Differential Equations, Wolfgang Walter (1998, ISBN 978-0-387-98459-9) An Introduction to Banach Space Theory, Robert E. Megginson (1998, ISBN 978-0-387-98431-5) Modern Graph Theory, Béla Bollobás (1998, ISBN 978-0-387-98488-9) Using Algebraic Geometry, David A. Cox, John Little, Donal O'Shea (2005, 2nd ed., ISBN 978-0-387-20706-3) Fourier Analysis on Number Fields, Dinakar Ramakrishnan, Robert J. Valenza (1999, ISBN 978-0-387-98436-0) Moduli of Curves, Joe Harris, Ian Morrison (1998, ISBN 978-0-387-98438-4) Lectures on the Hyperreals, Robert Goldblatt (1998, ISBN 978-1-4612-6841-3) Lectures on Modules and Rings, Tsit-Yuen Lam (1999, ISBN 978-0-387-98428-5) Problems in Algebraic Number Theory, M. Ram Murty, Jody Indigo Esmonde (2005, 2nd ed., ISBN 978-0-387-22182-3) Fundamentals of Differential Geometry, Serge Lang (1999, ISBN 978-0-387-98593-0) Elements of Functional Analysis, Francis Hirsch, Gilles Lacombe (1999, ISBN 978-0-387-98524-4) Advanced Topics in Computational Number Theory, Henri Cohen (2000, ISBN 0-387-98727-4) One-Parameter Semigroups for Linear Evolution Equations, Engel, Nagel (2000, ISBN 978-0-387-98463-6) Elementary Methods in Number Theory, Melvyn B. Nathanson (2000, ISBN 978-0-387-98912-9) Basic Homological Algebra, M. Scott Osborne (2000, ISBN 978-0-387-98934-1) The Geometry of Schemes, Eisenbud, Joe Harris (2000, ISBN 978-0-387-98638-8) A Course in p-adic Analysis, Alain M. Robert (2000, ISBN 978-0-387-98669-2) Theory of Bergman Spaces, Hakan Hedenmalm, Boris Korenblum, Kehe Zhu (2000, ISBN 978-0-387-98791-0) An Introduction to Riemann-Finsler Geometry, David Bao, Shiing-Shen Chern, Zhongmin Shen (2000, ISBN 978-1-4612-7070-6) Diophantine Geometry, Marc Hindry, Joseph H. Silverman (2000, ISBN 978-0-387-98975-4) Introduction to Topological Manifolds, John M. Lee (2011, 2nd ed., ISBN 978-1-4419-7939-1) The Symmetric Group — Representations, Combinatorial Algorithms, and Symmetric Functions, Bruce E. Sagan (2001, 2nd ed., ISBN 978-0-387-95067-9) Galois Theory, Jean-Pierre Escofier (2001, ISBN 978-0-387-98765-1) Rational Homotopy Theory, Yves Félix, Stephen Halperin, Jean-Claude Thomas (2000, ISBN 978-0-387-95068-6) Problems in Analytic Number Theory, M. Ram Murty (2007, 2nd ed., ISBN 978-0-387-95143-0) Algebraic Graph Theory, Chris Godsil, Gordon Royle (2001, ISBN 978-0-387-95241-3) Analysis for Applied Mathematics, Ward Cheney (2001, ISBN 978-0-387-95279-6) A Short Course on Spectral Theory, William Arveson (2002, ISBN 978-0-387-95300-7) Number Theory in Function Fields, Michael Rosen (2002, ISBN 978-0-387-95335-9) Algebra, Serge Lang (2002, Revised 3rd ed, ISBN 978-0-387-95385-4) Lectures on Discrete Geometry, Jiří Matoušek (2002, ISBN 978-0-387-95374-8) From Holomorphic Functions to Complex Manifolds, Klaus Fritzsche（）, Hans Grauert (2002, ISBN 978-0-387-95395-3) Partial Differential Equations, Jürgen Jost, (2013, 3rd ed., ISBN 978-1-4614-4808-2) Algebraic Functions and Projective Curves, David M. Goldschmidt, (2003, ISBN 978-0-387-95432-5) Matrices — Theory and Applications, Denis Serre, (2010, 2nd ed., ISBN 978-1-4419-7682-6) Model Theory: An Introduction, David Marker, (2002, ISBN 978-0-387-98760-6) Introduction to Smooth Manifolds, John M. Lee (2012, 2nd ed., ISBN 978-1-4419-9981-8) The Arithmetic of Hyperbolic 3-Manifolds, Colin Maclachlan, Alan W. Reid, (2003, ISBN 978-0-387-98386-8) Smooth Manifolds and Observables, Jet Nestruev, (2003, ISBN 978-0-387-95543-8 ) Convex Polytopes, Branko Grünbaum (2003, ISBN 0-387-00424-6) Lie Groups, Lie Algebras, and Representations - An Elementary Introduction, Brian C. Hall, (2015, 2nd ed., ISBN 978-3-319-13466-6) Fourier Analysis and its Applications, Anders Vretblad, (2003, ISBN 978-0-387-00836-3) Metric Structures in Differential Geometry, Walschap, G., (2004, ISBN 978-0-387-20430-7) Lie Groups, Daniel Bump, (2013, 2nd ed., ISBN 978-1-4614-8023-5) Spaces of Holomorphic Functions in the Unit Ball, Kehe Zhu, (2005, ISBN 978-0-387-22036-9) Combinatorial Commutative Algebra, Ezra Miller, Bernd Sturmfels, (2005, ISBN 978-0-387-22356-8) A First Course in Modular Forms, Fred Diamond, J. Shurman, (2006, ISBN 978-0-387-23229-4) The Geometry of Syzygies, David Eisenbud (2005, ISBN 978-0-387-22215-8) An Introduction to Markov Processes, Daniel W. Stroock, (2014, 2nd ed., ISBN 978-3-540-23499-9) Combinatorics of Coxeter Groups, Anders Björner, Francisco Brenti, (2005, ISBN 978-3-540-44238-7) An Introduction to Number Theory, Everest, Graham., Ward, T., (2005, ISBN 978-1-85233-917-3) Topics in Banach Space Theory, Albiac, F., Kalton, N. J., (2016, 2nd ed., ISBN 978-3-319-31555-3) Analysis and Probability — Wavelets, Signals, Fractals, Jorgensen, P. E. T., (2006, ISBN 978-0-387-29519-0) Compact Lie Groups, M. R. Sepanski, (2007, ISBN 978-0-387-30263-8) Bounded Analytic Functions, Garnett, J., (2007, ISBN 978-0-387-33621-3) An Introduction to Operators on the Hardy-Hilbert Space, Ruben A. Martinez-Avendano, Peter Rosenthal, (2007, ISBN 978-0-387-35418-7) A Course in Enumeration, Aigner, M., (2007, ISBN 978-3-540-39032-9) Number Theory — Volume I: Tools and Diophantine Equations, Cohen, H., (2007, ISBN 978-0-387-49922-2) Number Theory — Volume II: Analytic and Modern Tools, Cohen, H., (2007, ISBN 978-0-387-49893-5) The Arithmetic of Dynamical Systems, Joseph H. Silverman, (2007, ISBN 978-0-387-69903-5) Abstract Algebra, Grillet, Pierre Antoine, (2007, ISBN 978-0-387-71567-4) Topological Methods in Group Theory, Geoghegan, Ross, (2007, ISBN 978-0-387-74611-1) Graph Theory, Adrian Bondy, U.S.R. Murty, (2008, ISBN 978-1-84628-969-9) Complex Analysis: Introduced in the Spirit of Lipman Bers, Gilman, Jane P., Kra, Irwin, Rodriguez, Rubi E. (2007, ISBN 978-0-387-74714-9) A Course in Commutative Banach Algebras, Kaniuth, Eberhard, (2008, ISBN 978-0-387-72475-1) Braid Groups, Kassel, Christian, Turaev, Vladimir, (2008, ISBN 978-0-387-33841-5) Buildings Theory and Applications, Abramenko, Peter, Brown, Ken (2008, ISBN 978-0-387-78834-0) Classical Fourier Analysis, Loukas Grafakos (2014, 3rd ed., ISBN 978-1-4939-1193-6) Modern Fourier Analysis, Loukas Grafakos (2014, 3rd ed., ISBN 978-1-4939-1229-2) The Finite Simple Groups, Robert A. Wilson (2009, ISBN 978-1-84800-987-5) Distributions and Operators, Gerd Grubb, (2009, ISBN 978-0-387-84894-5) Elementary Functional Analysis, MacCluer, Barbara D., (2009, ISBN 978-0-387-85528-8) Algebraic Function Fields and Codes, Henning Stichtenoth（）, (2009, ISBN 978-3-540-76877-7) Symmetry, Representations, and Invariants, Goodman, Roe, Wallach, Nolan R., (2009, ISBN 978-0-387-79851-6) A Course in Commutative Algebra, Kemper, Gregor, (2010, ISBN 978-3-642-03544-9) Deformation Theory, Robin Hartshorne, (2010, ISBN 978-1-4419-1595-5) Foundations of Optimization in Finite Dimensions, Osman Guler, (2010, ISBN 978-0-387-34431-7) Ergodic Theory - with a view towards Number Theory, Thomas Ward, Manfred Einsiedler, (2011, ISBN 978-0-85729-020-5) Monomial Ideals, Jürgen Herzog, Hibi Takayuki(2010, ISBN 978-0-85729-105-9) Probability and Stochastics, Erhan Cinlar, (2011, ISBN 978-0-387-87858-4) Essentials of Integration Theory for Analysis, Daniel W. Stroock, (2012, ISBN 978-1-4614-1134-5) Analysis on Fock Spaces, Kehe Zhu, (2012, ISBN 978-1-4419-8800-3) Functional Analysis, Calculus of Variations and Optimal Control, Francis H. Clarke, (2013, ISBN 978-1-4471-4819-7) Unbounded Self-adjoint Operators on Hilbert Space, Konrad Schmüdgen, (2012, ISBN 978-94-007-4752-4) Calculus Without Derivatives, Jean-Paul Penot, (2012, ISBN 978-1-4614-4537-1) Quantum Theory for Mathematicians, Brian C. Hall, (2013, ISBN 978-1-4614-7115-8) Geometric Analysis of the Bergman Kernel and Metric, Krantz, Steven G., (2013, ISBN 978-1-4614-7923-9) Locally Convex Spaces, M Scott Osborne, (2014, ISBN 978-3-319-02044-0) Fundamentals of Algebraic Topology, Steven Weintraub, (2014, ISBN 978-1-4939-1843-0) Integer Programming, Michelangelo Conforti, Gérard P. Cornuéjols, Giacomo Zambelli, (2014, ISBN 978-3-319-11007-3) Operator Theoretic Aspects of Ergodic Theory, Tanja Eisner, Bálint Farkas, Markus Haase, Rainer Nagel, (2015, ISBN 978-3-319-16897-5) Homotopical Topology, Anatoly Fomenko, Dmitry Fuchs, (2016, 2nd ed., ISBN 978-3-319-23487-8) Brownian Motion, Martingales, and Stochastic Calculus, Jean-François Le Gall, (2016, ISBN 978-3-319-31088-6) Differential Geometry - Connections, Curvature, and Characteristic Classes, Loring W. Tu (2017, ISBN 978-3-319-55082-4) Functional Analysis, Spectral Theory, and Applications, Manfred Einsiedler, Thomas Ward (2017, ISBN 978-3-319-58539-0) The Moment Problem, Konrad Schmüdgen (2017, ISBN 978-3-319-64545-2) Modern Real Analysis, William P. Ziemer (2017, 2nd ed., ISBN 978-3-319-64628-2) Binomial Ideals, Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi (2018, ISBN 978-3-319-95347-2) Introduction to Real Analysis, Christopher Heil (2019, ISBN 978-3-030-26901-2) Intersection Homology & Perverse Sheaves with Applications to Singularities, Laurenţiu G. Maxim (2019, ISBN 978-3-030-27644-7) Measure, Integration & Real Analysis, Sheldon Axler (2020, ISBN 978-3-030-33143-6) Basic Representation Theory of Algebras, Ibrahim Assem, Flávio U Coelho (2020, ISBN 978-3-030-35117-5) Spectral Theory - Basic Concepts and Applications, David Borthwick (2020, ISBN 978-3-030-38001-4) An Invitation to Unbounded Representations of Algebras on Hilbert Space, Konrad Schmüdgen (2020, ISBN 978-3-030-46365-6) Lectures on Convex Geometry, Daniel Hug, Wolfgang Weilt (2020, ISBN 978-3-030-50179-2) Explorations in Complex Functions, Richard Beals, Roderick S. C. Wong (2020, ISBN 978-3-030-54532-1) Quaternion Algebras, John Voight (2020, ISBN 978-3-030-56692-0) Ergodic Dynamics - From Basic Theory to Applications, Jane M. Hawkins (2020, ISBN 978-3-030-59242-4) Lessons in Enumerative Combinatorics, Omer Egecioglu , Adriano Garsia (2021, ISBN 978-3-030-71249-5) Mathematical Logic, Heinz-Dieter Ebbinghaus, Jörg Flum, Wolfgang Thomas (2021, 3rd ed. ISBN 978-3-030-73839-6) Random Walk, Brownian Motion and Martingales, Rabi Bhattacharya, Edward C. Waymire (2021, ISBN 978-3-030-78939-8) Quaternion Algebras Stationary Processes and Discrete Parameter Markov Processes(予定) Measure Theory, Probability, and Stochastic Processes(予定) Partial Differential Equations(予定) Drinfeld Modules(予定) [脚注の使い方] ^ 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。 ^ Also published from Dover Publications as the second edition. (2015, ISBN 978-0-486-78608-7) ^ Note that this volume of the series with volume 69 were combined as volume 121. ^ Originally published as volumes 59 and 69 in this series. ^ A companion volume by the same authors: Complex Analysis and Special Topics in Harmonic Analysis (1995, ISBN 978-1-4613-8445-8). ^ This volume is subsequent to volume 106 in this series. ^ 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) ^ The first edition is Riemannian Manifolds: An Introduction to Curvature. Springer-Verlag's Summary of Graduate Texts in Mathematics