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{{NoteTA |1=zh-cn:研究生院; zh-hk:研究院; zh-tw:研究所; }} '''數學研究生教材'''（{{lang-en|Graduate Texts in Mathematics}}，簡稱'''GTM'''）是由[[施普林格科學+商業媒體|施普林格]]出版的一系統[[研究所]]程度之[[數學]][[教科書]]。這一系列的書與施普林格其他數學系列的書一樣，都是具相同尺寸的黃色封面書籍。GTM系列的書在封面上端都會有一段白底黃字的字樣，標示著「Graduate Texts in Mathematics」。 這一系列的書會偏向於寫成較性質相似的[[數學大學生教材]]（{{lang-en|Undergraduate Texts in Mathematics}}）系列還要困難，雖然這兩個系列有許多部分重疊，不論是在其所涉及之材料，或是在其難易程度。 ==书目列表== #''Introduction to [[Axiomatic Set Theory]]'', [[Gaisi Takeuti]], Wilson M. Zaring (1982, 2nd ed., {{ISBN|978-1-4613-8170-9}}) #''[[Measure (mathematics)|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 space|Topological Vector Spaces]]'', [[Helmut H. Schaefer|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 plane|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 Algebra]]s 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 (mathematician)|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 [[Field (mathematics)|Fields]]'', David J. Winter, (1974, {{ISBN|978-3-540-90074-0}}) #''[[Random processes|Random Processes]]'', [[Murray Rosenblatt]], (1974, {{ISBN|978-0-387-90085-8}}) #''[[Measure theory|Measure Theory]]'', [[Paul R. Halmos]] (1974, {{ISBN|978-0-387-90088-9}}) #''A [[Hilbert space|Hilbert Space]] Problem Book'', [[Paul R. Halmos]] (1982, 2nd ed., {{ISBN|978-0-387-90685-0}}) #''[[Fiber bundle|Fibre Bundles]]'', [[Dale Husemoller]] (1994, 3rd ed., {{ISBN|978-0-387-94087-8}}) #''[[Linear algebraic group|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 analysis|Geometric]] [[Functional Analysis]] and Its Applications'', Richard B. Holmes, (1975, {{ISBN|978-0-387-90136-7}}) #''[[Real Analysis|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|General Topology]]'', [[John L. Kelley]] (1975, {{ISBN|978-0-387-90125-1}}) #''[[Commutative Algebra]] I'', [[Oscar Zariski]], [[Pierre Samuel]], Cohen (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 [[Field (mathematics)|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|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 space|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|Several Complex Variables]]'', [[Hans Grauert|H. Grauert]], K. Fritzsche (1976, {{ISBN|978-0-387-90172-5}}) #''An Invitation to [[C*-algebra|<math>C^*</math>-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 function|Modular Functions]] and [[Dirichlet Series]] in Number Theory'', [[Tom M. Apostol]] (1989, 2nd ed., {{ISBN|978-0-387-97127-8}}) #''[[Linear representations|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}})<ref>Also published from Dover Publications as the second edition. (2015, {{ISBN|978-0-486-78608-7}})</ref> #''[[Probability Theory]] I'', [[Michel Loève|M. Loève]] (1977, 4th ed, {{ISBN|978-0-387-90210-4}}) #''[[Probability Theory]] II'', [[Michel Loève|M. Loève]] (1978, 4th ed, {{ISBN|978-0-387-90262-3}}) #''[[General topology|Geometric Topology]] in Dimensions 2 and 3'', [[Edwin E. Moise]] (1977, {{ISBN|978-0-387-90220-3}}) #''[[General Relativity]] for Mathematicians'', [[Rainer K. Sachs|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 number|p-adic Numbers]], [[p-adic analysis|p-adic Analysis]], and Zeta-Functions'', [[Neal Koblitz]] (1984, 2nd ed., {{ISBN|978-0-387-96017-3}}) #''[[Cyclotomic field|Cyclotomic Fields]]'', [[Serge Lang]] (1978, {{ISBN|978-0-387-90307-1}})<ref>Note that this volume of the series with volume 69 were combined as volume 121.</ref> #''Mathematical Methods of [[Classical Mechanics]]'', [[Vladimir Arnold|V. I. Arnold]], [[Alan Weinstein|A. Weinstein]], [[Karen Vogtmann|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'', [[Robert Edmund Edwards|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 scheme|Group Schemes]]'', [[W. C. Waterhouse]] (1979, {{ISBN|978-1-4612-6219-0}}) #''[[Local Fields (book)|Local Fields]]'', [[Jean-Pierre Serre]] (1979, {{ISBN|978-0-387-90424-5}}) #''Linear Operators in Hilbert Spaces'', {{Interlanguage link multi|Joachim Weidmann|de}} (1980, {{ISBN|978-1-4612-6029-5}}) #''[[Cyclotomic field|Cyclotomic Fields]] II'', [[Serge Lang]] (1980, {{ISBN|978-1-4684-0088-5}}) #''[[Singular homology|Singular Homology Theory]]'', [[William S. Massey]] (1980, {{ISBN|978-1-4684-9233-0}}) #''Riemann Surfaces'', {{Interlanguage link multi|Herschel Farkas|de}}, [[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 (mathematician)|Hugh Montgomery]] (2000, 3rd ed., {{ISBN|978-0-387-95097-6}}) #''Basic Theory of [[Algebraic group|Algebraic Groups]] and [[Lie algebra|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'', [[Erich Hecke|E. T. Hecke]] (1981, {{ISBN|978-0-387-90595-2}}) #''A Course in [[Universal Algebra]]'', Burris, Stanley and Sankappanavar, H. P. ([http://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html Online] {{Wayback|url=http://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html |date=20191009044945 }}) (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'', {{Interlanguage link multi|Derek J.S. Robinson|de|3=Derek John Scott Robinson}} (1996, 2nd ed., {{ISBN|978-0-387-94461-6}}) #''Lectures on Riemann Surfaces'', {{Interlanguage link multi|Otto Forster|de}} (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 (mathematician)|Michael Rosen]] (1990, 2nd ed., {{ISBN|978-0-387-97329-6}}) #''Fourier Series - A Modern Introduction Volume 2'', [[Robert Edmund Edwards|R. E. Edwards]] (1982, 2nd ed., {{ISBN|978-1-4613-8158-7}}) #''Introduction to [[Coding Theory]]'', [[Jack van Lint|J. H. van Lint]] (3rd ed 1998, {{ISBN|3-540-64133-5}}) #''Cohomology of Groups'', [[Kenneth Brown (mathematician)|Kenneth S. Brown]] (1982, {{ISBN|978-1-4684-9329-0}}) #''[[Associative algebra|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'', {{Interlanguage link multi|Alan F. Beardon|de|3=Alan Beardon|lt=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 (mathematician)|Sergei Novikov]] (1992, 2nd ed., {{ISBN|978-0-387-97663-1}}) #''Foundations of Differentiable Manifolds and Lie Groups'', {{Interlanguage link multi|Frank W. Warner (mathematician)|de|3=Frank W. Warner|lt=Frank W. Warner}} (1983, {{ISBN|978-0-387-90894-6}}) #''Probability-1'', [[Albert Shiryaev|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 Koblitz|Neal I. Koblitz]] (1993, 2nd ed., {{ISBN|978-0-387-97966-3}}) #''Representations of Compact Lie Groups'', {{Interlanguage link multi|Theodor Bröcker|de}}, {{Interlanguage link multi|Tammo tom Dieck|de}} (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 Edwards (mathematician)|Harold M. Edwards]] (1984, {{ISBN|978-0-387-90980-6}}) #''Lie Groups, Lie Algebras, and Their Representations'', [[Veeravalli S. Varadarajan|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 (mathematician)|Sergei Novikov]] (1985, {{ISBN|978-0-387-96162-0}}) #''SL''<sub>2</sub>(''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'', [[Olli Lehto|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'', {{Interlanguage link multi|Dale Husemöller|de}} (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 E. Shreve|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}})<ref>Originally published as volumes 59 and 69 in this series.</ref> #''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 (mathematician)|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}})<ref>A companion volume by the same authors: ''Complex Analysis and Special Topics in Harmonic Analysis'' (1995, {{ISBN|978-1-4613-8445-8}}).</ref> #''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 (mathematician)|William Fulton]], [[Joe Harris (mathematician)|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 (mathematician)|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 (number theorist)|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'', [[Joseph Leo Doob|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 (mathematician)|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}})<ref>This volume is subsequent to volume 106 in this series.</ref> #''Lectures on Polytopes'', [[Günter M. Ziegler]] (1995, {{ISBN|978-0-387-94365-7}}) #''Algebraic Topology — A First Course'', [[William Fulton (mathematician)|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}})<ref>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}})</ref> #''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]], [[Tamás Erdélyi (mathematician)|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'', {{Interlanguage link multi|Reinhard Diestel|de}} (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. R. Lickorish|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}})<ref>The first edition is ''Riemannian Manifolds: An Introduction to Curvature''.</ref> #''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 Megginson|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 (mathematician)|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 (number theorist)|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'', [[David Eisenbud|Eisenbud]], [[Joe Harris (mathematician)|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 Sagan|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'', [[Elliott Ward Cheney, Jr.|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 (mathematician)|Jiří Matoušek]] (2002, {{ISBN|978-0-387-95374-8}}) #''From Holomorphic Functions to Complex Manifolds'', {{Interlanguage link multi|Klaus Fritzsche|de}}, [[Hans Grauert]] (2002, {{ISBN|978-0-387-95395-3}}) #''[[Partial Differential Equations]]'', [[Jürgen Jost]], (2013, 3rd ed., {{ISBN|978-1-4614-4808-2}}) #''[[Algebraic function|Algebraic Functions]] and [[Projective curve|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-manifold|Hyperbolic 3-Manifolds]]'', [[Colin Maclachlan]], [[Alan W. Reid]], (2003, {{ISBN|978-0-387-98386-8}}) #''[[Smooth manifold|Smooth Manifolds]] and [[Observables]]'', [[Jet Nestruev]], (2003, {{ISBN|978-0-387-95543-8}} ) #''[[Convex polytope|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, G., Ward, T., (2005, {{ISBN|978-1-85233-917-3}}) #''Topics in Banach Space Theory'', Albiac, F., [[Nigel Kalton|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'', [[Martin Aigner|Aigner, M.]], (2007, {{ISBN|978-3-540-39032-9}}) #''Number Theory — Volume I: Tools and Diophantine Equations'', [[Henri Cohen (number theorist)|Cohen, H.]], (2007, {{ISBN|978-0-387-49922-2}}) #''Number Theory — Volume II: Analytic and Modern Tools'', [[Henri Cohen (number theorist)|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'', [[Jane Piore Gilman|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 Arnott Wilson|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'', [[Barbara MacCluer|MacCluer, Barbara D.]], (2009, {{ISBN|978-0-387-85528-8}}) #''Algebraic Function Fields and Codes'', {{Interlanguage link multi|Henning Stichtenoth|de}}, (2009, {{ISBN|978-3-540-76877-7}}) #''Symmetry, Representations, and Invariants'', Goodman, Roe, [[Nolan Wallach|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 [[Integral|Integration Theory]] for [[Mathematical analysis|Analysis]]'', [[Daniel W. Stroock]], (2012, {{ISBN|978-1-4614-1134-5}}) #''Analysis on [[Fock space|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 [[Operator (mathematics)|Operators]] on [[Hilbert Space]]'', [[Konrad Schmüdgen]], (2012, {{ISBN|978-94-007-4752-4}}) #''[[Calculus]] Without [[Derivative]]s'', [[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'', [[Steven G. Krantz|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'', 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 Weil (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}}) #''Stationary Processes and Discrete Parameter Markov Processes'', Rabi Bhattacharya, Edward C. Waymire (2022, {{ISBN|978-3-031-00941-9}}) #''Partial Differential Equations'', Wolfgang Arendt, Karsten Urban (2023, {{ISBN|978-3-031-13378-7}}) #''Measure Theory, Probability, and Stochastic Processes'', Jean-François Le Gall (2022, {{ISBN|978-3-031-14205-5}}) #''Drinfeld Modules'', Mihran Papikian (2023, {{ISBN|978-3-031-19706-2}}) == 另見 == *[[數學大學生教材]] ==注释== {{reflist}} ==外部連結== * {{cite web |url=http://www.springer.com/west/home/math?SGWID=4-10042-69-173621337-0 |title=Springer-Verlag's Summary of Graduate Texts in Mathematics |access-date=2015-09-16 |archive-date=2007-12-19 |archive-url=https://web.archive.org/web/20071219023443/http://www.springer.com/west/home/math?SGWID=4-10042-69-173621337-0 |dead-url=no }} [[分類:數學叢書]] [[分類:數學教科書]]
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