Series of mathematics textbooks
Graduate Texts in Mathematics (GTM ) (ISSN 0072-5285 ) is a series ofgraduate-level textbooks inmathematics published bySpringer-Verlag . The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with variable numbers of pages). The GTM series is easily identified by a white band at the top of the book.
The books in this series tend to be written at a more advanced level than the similarUndergraduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and difficulty level.
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, 2nd ed.,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 (1975,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 (1975, 4th ed.,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 (1964, 2nd ed.,ISBN 978-1-4757-4229-9 )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 toC ∗ {\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, 2nd ed.,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 (1977, 2nd ed.,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 ofFunctional 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 [de ] (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 [de ] ,Irwin Kra (1992, 2nd ed.,ISBN 978-0-387-97703-4 )Classical Topology and Combinatorial Group Theory ,John Stillwell (1980, 2nd ed., 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 ) (1981ISBN 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 [de ] (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 inBanach 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 (1983,ISBN 978-0-387-90894-6 )Probability-1 ,Probability-2 ,Albert N. Shiryaev (2016, 2019, 3rd ed.,ISBN 978-0-387-72205-4 ,ISBN 978-0-387-72207-8 )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 [de ] ,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 )SL 2 (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 (2nd ed., 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 [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 Shreve (2nd ed., 2000,ISBN 978-0-387-97655-6 )A Course in Number Theory and Cryptography ,Neal Koblitz (2nd ed., 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 Ebbinghauset 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, 2nd ed.,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 (2019, 3rd ed.,ISBN 978-3-030-31597-9 )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 andAlgebraic 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 (2025, 6th ed.,ISBN 978-3-662-70107-2 )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 – An Introduction to Nonstandard Analysis ,Robert Goldblatt (1998,ISBN 978-0-387-98464-3 )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 , Klaus-Jochen Engel, Rainer 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 [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 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 , (2020, 2nd ed.,ISBN 978-0-387-95543-8 )Convex Polytopes ,Branko Grünbaum (2003, 2nd ed.,ISBN 978-0-387-40409-7 )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 – A Second Course in Algebraic Geometry and Commutative Algebra ,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 ,Graham Everest ,Thomas Ward ., (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 ,Martin Aigner , (2007,ISBN 978-3-540-39032-9 )Number Theory — Volume I: Tools and Diophantine Equations ,Henri Cohen , (2007,ISBN 978-0-387-49922-2 )Number Theory — Volume II: Analytic and Modern Tools ,Henri Cohen , (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 – In the Spirit of Lipman Bers ,Rubí E. Rodríguez , Irwin Kra,Jane P. Gilman (2013, 2nd ed.,ISBN 978-1-4899-9908-5 )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 [de ] , (2009, 2nd ed.,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 ,Manfred Einsiedler ,Thomas Ward , (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 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 )Random Walks on Infinite Groups , Steven P. Lalley (2023,ISBN 978-3-031-25631-8 )More Explorations in Complex Functions , Richard Beals, Roderick S.C. Wong (2023,ISBN 978-3-031-28287-4 )Continuous Parameter Markov Processes and Stochastic Differential Equations , Rabi Bhattacharya, Edward C. Waymire (2023,ISBN 978-3-031-33294-4 )An Introduction to Automorphic Representations , Jayce R. Getz, Heekyoung Hahn (2024,ISBN 978-3-031-41151-9 )An Invitation to Mathematical Logic , David Marker (2024,ISBN 978-3-031-55367-7 )Fundamentals of Fourier Analysis , Loukas Grafakos (2024,ISBN 978-3-031-56499-4 )A Course in Real Algebraic Geometry , Claus Scheiderer (2024,ISBN 978-3-031-69212-3 )An Introduction to Microlocal Analysis , Peter Hintz (2025,ISBN 978-3-031-90705-0 )Complex Analysis in One Variable and Riemann Surfaces , Mei-Chi Shaw, Charles M. Stanton (2025,ISBN 978-3-031-93641-8 )^ Also published from Dover Publications as the second edition. (2015,ISBN 978-0-486-78608-7 ) ^ 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 isRiemannian Manifolds: An Introduction to Curvature .