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
- 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 ( -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))[1]
- (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))[2]
- 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) (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) (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)) (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))[3]
- 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))[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))[5]
- 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))[6]
- 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))[7]
- 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
注釈
- ^ 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
- ^ 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.
外部リンク
- Springer-Verlag's Summary of Graduate Texts in Mathematics