Graduate Texts in Mathematics (GTM) ( ISSN 0072-5285) is a series of graduate-level textbooks in

mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

published by Springer-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 similar

Undergraduate Texts in Mathematics Undergraduate Texts in Mathematics (UTM) (ISSN 0172-6056) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are small yellow boo ...

series, although there is a fair amount of overlap between the two series in terms of material covered and difficulty level.

List of books

#''Introduction to Axiomatic Set Theory'', Gaisi Takeuti, Wilson M. Zaring (1982, 2nd ed., ) #''Measure and Category – A Survey of the Analogies between Topological and Measure Spaces'',

John C. Oxtoby John C. Oxtoby (1910–1991) was an American mathematician. In 1936, he graduated with a Master of Science in Mathematics from Harvard University. He was professor of mathematics at Bryn Mawr College in Pennsylvania Pennsylvania (; ( Pennsy ...

(1980, 2nd ed., ) #''Topological Vector Spaces'',

H. H. Schaefer Helmut Heinrich Schaefer (February 14, 1925 in Großenhain, Weimar Republic – December 16, 2005 in Tübingen, Germany) was a German mathematician, who worked primarily in functional analysis. His two best known scientific monographs are ti ...

, M. P. Wolff (1999, 2nd ed., ) #''A Course in Homological Algebra'', Peter Hilton, Urs Stammbach (1997, 2nd ed., ) #'' Categories for the Working Mathematician'', Saunders Mac Lane (1998, 2nd ed., ) #''Projective Planes'', Daniel R. Hughes, Fred C. Piper, (1982, ) #''A Course in Arithmetic'', Jean-Pierre Serre (1996, ) #''Axiomatic Set Theory'', Gaisi Takeuti, Wilson M. Zaring, (1973, ) #''Introduction to Lie Algebras and Representation Theory'',

James E. Humphreys James Edward Humphreys (December 10, 1939 – August 27, 2020) was an American mathematician, who worked in algebraic groups, Lie groups, and Lie algebras and applications of these mathematical structures. He is known as the author of several m ...

(1997, ) #''A Course in Simple-Homotopy Theory'', Marshall. M. Cohen, (1973, ) #''Functions of One Complex Variable I'',

John B. Conway John Bligh Conway (born September 22, 1939) is an American mathematician. He is currently a professor emeritus at the George Washington University. His specialty is functional analysis, particularly bounded operators on a Hilbert space. Conw ...

(1978, 2nd ed., ) #''Advanced Mathematical Analysis'', Richard Beals (1973, ) #''Rings and Categories of Modules'', Frank W. Anderson, Kent R. Fuller (1992, 2nd ed., ) #''Stable Mappings and Their Singularities'', Martin Golubitsky, Victor Guillemin, (1974, ) #''Lectures in Functional Analysis and Operator Theory'', Sterling K. Berberian, (1974, ) #''The Structure of Fields'', David J. Winter, (1974, ) #''Random Processes'',

Murray Rosenblatt Murray Rosenblatt (September 7, 1926 – October 9, 2019) was a statistician specializing in time series analysis who was a professor of mathematics at the University of California, San Diego. He received his Ph.D. at Cornell University. He was als ...

, (1974, ) #''Measure Theory'',

Paul R. Halmos Paul Richard Halmos ( hu, Halmos Pál; March 3, 1916 – October 2, 2006) was a Hungarian-born American mathematician and statistician who made fundamental advances in the areas of mathematical logic, probability theory, statistics, operator ...

(1974, ) #''A Hilbert Space Problem Book'',

(1982, 2nd ed., ) #''Fibre Bundles'', Dale Husemoller (1994, 3rd ed., ) #''Linear Algebraic Groups'',

(1975, ) #''An Algebraic Introduction to Mathematical Logic'', Donald W. Barnes, John M. Mack (1975, ) #''Linear Algebra'', Werner H. Greub (1975, ) #''Geometric Functional Analysis and Its Applications'', Richard B. Holmes, (1975, ) #''Real and Abstract Analysis'', Edwin Hewitt, Karl Stromberg (1975, ) #''Algebraic Theories'', Ernest G. Manes, (1976, ) #''General Topology'',

John L. Kelley John L. Kelley (December 6, 1916, Kansas – November 26, 1999, Berkeley, California) was an American mathematician at the University of California, Berkeley, who worked in general topology and functional analysis. Kelley's 1955 text, ''General ...

(1975, ) #''Commutative Algebra I'', Oscar Zariski, Pierre Samuel (1975, ) #''Commutative Algebra II'', Oscar Zariski, Pierre Samuel (1975, ) #''Lectures in Abstract Algebra I: Basic Concepts'', Nathan Jacobson (1976, ) #''Lectures in Abstract Algebra II: Linear Algebra'', Nathan Jacobson (1984, ) #''Lectures in Abstract Algebra III: Theory of Fields and Galois Theory'', Nathan Jacobson (1976, ) #''Differential Topology'',

Morris W. Hirsch Morris William Hirsch (born June 28, 1933) is an American mathematician, formerly at the University of California, Berkeley. A native of Chicago, Illinois, Hirsch attained his doctorate from the University of Chicago in 1958, under supervisi ...

(1976, ) #''Principles of Random Walk'',

Frank Spitzer Frank Ludvig Spitzer (July 24, 1926 – February 1, 1992) was an Austrian-born American mathematician who made fundamental contributions to probability theory, including the theory of random walks, fluctuation theory, percolation theory, th ...

(1964, 2nd ed., ) #''Several Complex Variables and Banach Algebras'', Herbert Alexander, John Wermer (1998, 3rd ed., ) #''Linear Topological Spaces'',

, Isaac Namioka (1982, ) #''Mathematical Logic'', J. Donald Monk (1976, ) #''Several Complex Variables'', H. Grauert, K. Fritzsche (1976, ) #''An Invitation to

C^*

-Algebras'',

William Arveson William B. Arveson (22 November 1934 – 15 November 2011) was a mathematician specializing in operator algebras who worked as a professor of Mathematics at the University of California, Berkeley. Biography Arveson obtained his Ph.D. from UCLA in ...

(1976, ) #''Denumerable Markov Chains'',

John G. Kemeny John George Kemeny (born Kemény János György; May 31, 1926 – December 26, 1992) was a Kingdom of Hungary (1920–1946), Hungarian-born Americans, American mathematician, computer scientist, and educator best known for co-developing the BASIC ...

J. Laurie Snell James Laurie Snell, often cited as J. Laurie Snell, (January 15, 1925 in Wheaton, Illinois – March 19, 2011 in Hanover, New Hampshire) was an American mathematician. Biography J. Laurie Snell was the son of Roy J. Snell, Roy Snell, an adventure ...

Anthony W. Knapp Anthony W. Knapp (born 2 December 1941, Morristown, New Jersey) is an American mathematician at the State University of New York, Stony Brook working on representation theory, who classified the tempered representations of a semisimple Lie grou ...

, D.S. Griffeath (1976, ) #''Modular Functions and Dirichlet Series in Number Theory'', Tom M. Apostol (1989, 2nd ed., ) #''Linear Representations of Finite Groups'', Jean-Pierre Serre, Leonhard L. Scott (1977, ) #''Rings of Continuous Functions'', Leonard Gillman, Meyer Jerison (1976, ) #''Elementary Algebraic Geometry'', Keith Kendig (1977, ) #''Probability Theory I'', M. Loève (1977, 4th ed, ) #''Probability Theory II'', M. Loève (1978, 4th ed, ) #''Geometric Topology in Dimensions 2 and 3'',

Edwin E. Moise Edwin Evariste Moise (; December 22, 1918 – December 18, 1998) was an American mathematician and mathematics education reformer. After his retirement from mathematics he became a literary critic of 19th-century English poetry and had severa ...

(1977, ) #''General Relativity for Mathematicians'', R. K. Sachs, H. Wu (1983, ) #''Linear Geometry'', K. W. Gruenberg, A. J. Weir (1977, 2nd ed., ) #''Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory'',

Harold M. Edwards Harold Mortimer Edwards, Jr. (August 6, 1936 – November 10, 2020) was an American mathematician working in number theory, abstract algebra, algebra, and the history and philosophy of mathematics. He was one of the co-founding editors, with Bru ...

(2000, ) #''A Course in Differential Geometry'', William Klingenberg, D. Hoffman (1983, ) #''

Algebraic Geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrica ...

'', Robin Hartshorne (2010, ) #''A Course in Mathematical Logic for Mathematicians'',

Yu. I. Manin Yuri Ivanovich Manin (russian: Ю́рий Ива́нович Ма́нин; born 16 February 1937) is a Russian mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logi ...

, Boris Zilber (2009, 2nd ed., ) #''Combinatorics with Emphasis on the Theory of Graphs'', Mark E. Watkins, Jack E. Graver (1977, ) #''Introduction to Operator Theory I: Elements of Functional Analysis'', Arlen Brown, Carl Pearcy (1977, ) #''Algebraic Topology: An Introduction'', William S. Massey (1977, ) #''Introduction to Knot Theory'', Richard H. Crowell,

Ralph H. Fox Ralph Hartzler Fox (March 24, 1913 – December 23, 1973) was an American mathematician. As a professor at Princeton University, he taught and advised many of the contributors to the ''Golden Age of differential topology'', and he played ...

(1977, ) #''p-adic Numbers, p-adic Analysis, and Zeta-Functions'', Neal Koblitz (1984, 2nd ed., ) #''Cyclotomic Fields'',

Serge Lang Serge Lang (; May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the i ...

(1978, ) #''

Mathematical Methods of Classical Mechanics Mathematical Methods of Classical Mechanics is a classic graduate textbook by the mathematician Vladimir I. Arnold. It was originally written in Russian, but was translated into English by A. Weinstein and K. Vogtmann. Contents * Part I: Ne ...

'',

V. I. Arnold Vladimir Igorevich Arnold (alternative spelling Arnol'd, russian: link=no, Влади́мир И́горевич Арно́льд, 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician. While he is best known for the Kolmogorov–A ...

, A. Weinstein, K. Vogtmann (1989, 2nd ed., ) #''Elements of Homotopy Theory'',

George W. Whitehead George may refer to: People * George (given name) * George (surname) * George (singer), American-Canadian singer George Nozuka, known by the mononym George * George Washington, First President of the United States * George W. Bush, 43rd President ...

(1978, ) #''Fundamentals of the Theory of Groups'', M. I. Kargapolov, J. I. Merzljakov (1979, ) #''Graph Theory – An Introductory Course'', Béla Bollobás (1979, ) #''Fourier Series – A Modern Introduction Volume 1'', R. E. Edwards (1979, 2nd ed., ) #''Differential Analysis on Complex Manifolds'',

Raymond O. Wells, Jr. Raymond O'Neil Wells Jr. (born 1940), "Ronny", is an American mathematician, working in complex analysis in several variables as well as wavelets. Wells received his BA from Rice University in 1962 and his Ph.D. in 1965 from New York University ...

(2008, 3rd ed., ) #''Introduction to Affine Group Schemes'',

W. C. Waterhouse William Charles Waterhouse (December 31, 1941 – June 26, 2016) was an American mathematician. He was a professor emeritus of Mathematics at Pennsylvania State University.

(1979, ) #'' Local Fields'', Jean-Pierre Serre (1979, ) #''Linear Operators in Hilbert Spaces'', (1980, ) #''Cyclotomic Fields II'',

(1980, ) #''Singular Homology Theory'', William S. Massey (1980, ) #''Riemann Surfaces'', ,

Irwin Kra Irwin Kra (born January 5, 1937) is an American mathematician, who works on the function (mathematics), function theory in complex analysis. Life and work Kra studied at Polytechnic Institute of Brooklyn (bachelor's degree in 1960) and at Colu ...

(1992, 2nd ed., ) #''Classical Topology and Combinatorial Group Theory'', John Stillwell (1980, 2ed 1993, ) #''Algebra'', Thomas W. Hungerford (1974, ) #''Multiplicative Number Theory'', Harold Davenport, Hugh Montgomery (2000, 3rd ed., ) #''Basic Theory of Algebraic Groups and Lie Algebras'',

G. P. Hochschild Gerhard Paul Hochschild (April 29, 1915 in Berlin – July 8, 2010 in El Cerrito, California) was a German-born American mathematician who worked on Lie groups, algebraic groups, homological algebra and algebraic number theory. Early life On ...

(1981, ) #''Algebraic Geometry – An Introduction to Birational Geometry of Algebraic Varieties'',

Shigeru Iitaka Shigeru Iitaka (飯高茂 Iitaka Shigeru, born May 29, 1942, Chiba) is a Japanese mathematician at Gakushuin University working in algebraic geometry who introduced the Kodaira dimension and Iitaka dimension. He was a worldly leader in the field ...

(1982, ) #''Lectures on the Theory of Algebraic Numbers'', E. T. Hecke (1981, ) #''A Course in Universal Algebra'', Burris, Stanley and Sankappanavar, H. P.
Online
(1981 ) #''An Introduction to Ergodic Theory'', Peter Walters (1982, ) #''A Course in the Theory of Groups'', (1996, 2nd ed., ) #''Lectures on Riemann Surfaces'',

Otto Forster Otto Forster (born 8 July 1937 in Munich) is a German mathematician. Education and career Forster received his ''Diplom'' in 1960 from Ludwig Maximilian University of Munich. There he received in 1961 his doctorate. His thesis ''Banachalgebren st ...

(1981, ) #''Differential Forms in Algebraic Topology'', Raoul Bott, Loring W. Tu (1982, ) #''Introduction to Cyclotomic Fields'',

Lawrence C. Washington Lawrence Clinton Washington (born 1951, Vermont) is an American mathematician at the University of Maryland who specializes in number theory. Biography Washington studied at Johns Hopkins University, where in 1971 he received his B.A. and master's ...

(1997, 2nd ed., ) #''A Classical Introduction to Modern Number Theory'', Kenneth Ireland, Michael Rosen (1990, 2nd ed., ) #''Fourier Series – A Modern Introduction Volume 2'', R. E. Edwards (1982, 2nd ed., ) #''Introduction to Coding Theory'',

J. H. van Lint Jacobus Hendricus ("Jack") van Lint (1 September 1932 – 28 September 2004) was a Dutch mathematician, professor at the Eindhoven University of Technology, of which he was rector magnificus from 1991 till 1996. He gained his Ph.D. from Utrecht U ...

(3rd ed 1998, ) #''Cohomology of Groups'', Kenneth S. Brown (1982, ) #''Associative Algebras'', R. S. Pierce (1982, ) #''Introduction to Algebraic and Abelian Functions'',

(1982, 2nd ed., ) #''An Introduction to Convex Polytopes'', Arne Brondsted (1983, ) #''The Geometry of Discrete Groups'', Alan F. Beardon (1983, 2nd print 1995, ) #''Sequences and Series in Banach Spaces'', J. Diestel (1984, ) #''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., ) #''Foundations of Differentiable Manifolds and Lie Groups'', Frank W. Warner (1983, ) #''Probability-1'', ''Probability-2'', Albert N. Shiryaev (2016, 2019, 3rd ed., , ) #''A Course in Functional Analysis'',

(2007, 2nd ed., ) #''Introduction to Elliptic Curves and Modular Forms'', Neal I. Koblitz (1993, 2nd ed., ) #''Representations of Compact Lie Groups'', , Tammo tom Dieck (1985, ) #''Finite Reflection Groups'', L.C. Grove, C.T. Benson (1985, 2nd ed., ) #''Harmonic Analysis on Semigroups – Theory of Positive Definite and Related Functions'', Christian Berg, Jens Peter Reus Christensen, Paul Ressel (1984, ) #''Galois Theory'',

(1984, ) #''Lie Groups, Lie Algebras, and Their Representations'', V. S. Varadarajan (1984, ) #''Complex Analysis'',

(1999, 4th ed., ) #''Modern Geometry — Methods and Applications Part II: The Geometry and Topology of Manifolds'', B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Novikov (1985, ) #''SL''₂(''R''),

(1985, ) #''The Arithmetic of Elliptic Curves'',

Joseph H. Silverman Joseph Hillel Silverman (born March 27, 1955, New York City) is a professor of mathematics at Brown University working in arithmetic geometry, arithmetic dynamics, and cryptography. Biography Joseph Silverman received an Sc.B. from Brown Unive ...

(2009, 2nd ed., ) #''Applications of Lie Groups to Differential Equations'',

Peter J. Olver Peter John Olver (11 January 1952, Twickenham) is a British-American mathematician working in differential geometry. Education and career After moving to the USA in 1961, Olver obtained a bachelor's degree in Applied Mathematics at Brown Univer ...

(2ed 1993, ) #''Holomorphic Functions and Integral Representations in Several Complex Variables'', R. Michael Range (1986, ) #''Univalent Functions and Teichmüller Spaces'', O. Lehto (1987, ) #''Algebraic Number Theory'',

(1994, 2nd ed., ) #''Elliptic Curves'', (2004, 2nd ed., ) #''Elliptic Functions'',

(1987, 2nd ed., ) #''Brownian Motion and Stochastic Calculus'', Ioannis Karatzas, Steven Shreve (2ed 2000, ) #''A Course in Number Theory and Cryptography'', Neal Koblitz (2ed 1994, ) #''Differential Geometry: Manifolds, Curves and Surfaces'',

Marcel Berger Marcel Berger (14 April 1927 – 15 October 2016) was a French mathematician, doyen of French differential geometry, and a former director of the Institut des Hautes Études Scientifiques (IHÉS), France. Formerly residing in Le Castera in Las ...

, Bernard Gostiaux (1988, ) #''Measure and Integral — Volume 1'',

, T.P. Srinivasan (1988, ) #''Algebraic Groups and Class Fields'', Jean-Pierre Serre (1988, ) #''Analysis Now'', Gert K. Pedersen (1989, ) #''An Introduction to Algebraic Topology'', Joseph J. Rotman, (1988, ) #''Weakly Differentiable Functions — Sobolev Spaces and Functions of Bounded Variation'', William P. Ziemer (1989, ) #''Cyclotomic Fields I and II'',

(1990, Combined 2nd ed. ) #''Theory of Complex Functions'', Reinhold Remmert (1991, ) #''Numbers'', Heinz-Dieter Ebbinghaus ''et al.'' (1990, ) #''Modern Geometry — Methods and Applications Part III: Introduction to Homology Theory'', B. A. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Novikov (1990, ) #''Complex Variables — An Introduction'', Carlos A. Berenstein, Roger Gay (1991, ) #''Linear Algebraic Groups'',

Armand Borel Armand Borel (21 May 1923 – 11 August 2003) was a Swiss mathematician, born in La Chaux-de-Fonds, and was a permanent professor at the Institute for Advanced Study in Princeton, New Jersey, United States from 1957 to 1993. He worked in ...

(1991, ) #''A Basic Course in Algebraic Topology'', William S. Massey (1991, ) #''Partial Differential Equations'',

Jeffrey Rauch Jeffrey B. Rauch (born 29 November 1945, New York City) is an American mathematical physicist, specializing in partial differential equations. Rauch obtained his bachelor's degree from Harvard University in 1967, and his Ph.D. from New York Univ ...

(1991, ) #''Representation Theory'', William Fulton, Joe Harris (1991, ) #''Tensor Geometry — The Geometric Viewpoint and its Uses'', Christopher T. J. Dodson, Timothy Poston (1991, 2nd ed., ) #''A First Course in Noncommutative Rings'',

T. Y. Lam Tsit Yuen Lam (;Faculty Website
retrieved 2014-08-13. born 6 February 1942

(2001, 2nd ed., ) #''Iteration of Rational Functions — Complex Analytic Dynamical Systems'', Alan F. Beardon (1991, ) #''Algebraic Geometry'', Joe Harris (1992, ) #''Coding and Information Theory'',

Steven Roman Steven Roman is a mathematician, currently Emeritus Professor of Mathematics at California State University, Fullerton and Visiting Professor of Mathematics at University of California, Irvine. He is one of the main developers of umbral calculus. H ...

(1992, ) #''Advanced Linear Algebra'',

(2008, 3rd ed., ) #''Algebra — An Approach via Module Theory'', William Adkins, Steven Weintraub (1992, ) #''Harmonic Function Theory'',

Sheldon Axler Sheldon Jay Axler (born November 6, 1949, Philadelphia) is an American mathematician and textbook author. He is a professor of mathematics and the Dean of the College of Science and Engineering at San Francisco State University. He graduated fr ...

, Paul Bourdon, Wade Ramey (2001, 2nd ed., ) #''A Course in Computational Algebraic Number Theory'', Henri Cohen (1996, ) #''Topology and Geometry'',

Glen E. Bredon Glen Eugene Bredon (August 24, 1932 in Fresno, California – May 8, 2000, in North Fork, California) was an American mathematician who worked in the area of topology. Education and career Bredon received a bachelor's degree from Stanford Univer ...

(1993, ) #''Optima and Equilibria'', Jean-Pierre Aubin (1998, ) #''Gröbner Bases — A Computational Approach to Commutative Algebra'', Thomas Becker, Volker Weispfenning (1993, ) #''Real and Functional Analysis'',

(1993, 3rd ed., ) #''Measure Theory'', J. L. Doob (1994, ) #''Noncommutative Algebra'', Benson Farb, R. Keith Dennis (1993, ) #''Homology Theory — An Introduction to Algebraic Topology'', James W. Vick (1994, 2nd ed., ) #''Computability — A Mathematical Sketchbook'', Douglas S. Bridges (1994, ) #''Algebraic K-Theory and Its Applications'', Jonathan Rosenberg (1994, ) #''An Introduction to the Theory of Groups'', Joseph J. Rotman (1995, 4th ed., ) #''Foundations of Hyperbolic Manifolds'', John G. Ratcliffe (2019, 3rd ed., ) #''Commutative Algebra — with a View Toward Algebraic Geometry'',

David Eisenbud David Eisenbud (born 8 April 1947 in New York City) is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and Director of the Mathematical Sciences Research Institute (MSRI); he previously serve ...

(1995, ) #''Advanced Topics in the Arithmetic of Elliptic Curves'',

(1994, ) #''Lectures on Polytopes'',

Günter M. Ziegler Günter Matthias Ziegler (born 19 May 1963) is a German mathematician who has been serving as president of the Free University of Berlin since 2018. Ziegler is known for his research in discrete mathematics and geometry, and particularly on the ...

(1995, ) #''Algebraic Topology — A First Course'', William Fulton (1995, ) #''An Introduction to Analysis'', Arlen Brown, Carl Pearcy (1995, ) #''Quantum Groups'', Christian Kassel (1995, ) #''Classical Descriptive Set Theory'',

Alexander S. Kechris Alexander Sotirios Kechris ( el, Αλέξανδρος Σωτήριος Κεχρής; born March 23, 1946) is a set theorist and logician at the California Institute of Technology. Contributions Kechris has made contributions to the theory of Bor ...

(1995, ) #''Integration and Probability'',

Paul Malliavin Paul Malliavin (; September 10, 1925 – June 3, 2010) was a French mathematician who made important contributions to harmonic analysis and stochastic analysis. He is known for the Malliavin calculus, an infinite dimensional calculus for func ...

(1995, ) #''Field Theory'',

(2006, 2nd ed., ) #''Functions of One Complex Variable II'',

(1995, ) #''Differential and Riemannian Manifolds'',

(1995, ) #''Polynomials and Polynomial Inequalities'', Peter Borwein, Tamas Erdelyi (1995, ) #''Groups and Representations'',

J. L. Alperin Jonathan Lazare Alperin (; born 1937) is an American mathematician specializing in the area of algebra known as group theory. He is notable for his work in group theory which has been cited over 500 times according to the Mathematical Reviews. T ...

, Rowen B. Bell (1995, ) #''Permutation Groups'', John D. Dixon, Brian Mortimer (1996, ) #''Additive Number Theory The Classical Bases'',

Melvyn B. Nathanson Melvyn Bernard Nathanson (born October 10, 1944, in Philadelphia, Pennsylvania) is an American mathematician, specializing in number theory, and a Professor of Mathematics at Lehman College and The Graduate Center ( City University of New Yo ...

(1996, ) #''Additive Number Theory: Inverse Problems and the Geometry of Sumsets'',

(1996, ) #''Differential Geometry — Cartan's Generalization of Klein's Erlangen Program'', R. W. Sharpe (1997, ) #''Field and Galois Theory'', Patrick Morandi (1996, ) #''Combinatorial Convexity and

'', Guenter Ewald (1996, ) #''Matrix Analysis'',

Rajendra Bhatia Rajendra Bhatia (born 1952) is an Indian mathematician, author, and educator. He is currently a professor of mathematics at Ashoka University located in Sonipat, Haryana ,India. Education He studied at the University of Delhi, where he com ...

(1997, ) #''Sheaf Theory'',

(1997, 2nd ed., ) #''Riemannian Geometry'', Peter Petersen (2016, 3rd ed., ) #''Classical Topics in Complex Function Theory'', Reinhold Remmert (1998, ) #''Graph Theory'',

Reinhard Diestel Reinhard is a German, Austrian, Danish, and to a lesser extent Norwegian surname (from Germanic ''ragin'', counsel, and ''hart'', strong), and a spelling variant of Reinhardt. Persons with the given name * Reinhard of Blankenburg (after 1107 – 1 ...

(2017, 5th ed., ) #''Foundations of Real and Abstract Analysis'', Douglas S. Bridges (1998, ) #''An Introduction to Knot Theory'',

W. B. Raymond Lickorish William Bernard Raymond Lickorish (born 19 February 1938) is a mathematician. He is emeritus professor of geometric topology in the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, and also an emeritus fellow ...

(1997, ) #''Introduction to Riemannian Manifolds'', John M. Lee (2018, 2nd ed., )The first edition is ''Riemannian Manifolds: An Introduction to Curvature''. #''Analytic Number Theory '',

Donald J. Newman Donald Joseph (D. J.) Newman (July 27, 1930 – March 28, 2007) was an American mathematician. He gave simple proofs of the prime number theorem and the Hardy-Ramanujan partition formula. He excelled on multiple occasions at the annual Putnam com ...

(1998, ) #''Nonsmooth Analysis and Control Theory'', Francis H. Clarke, Yuri S. Ledyaev, Ronald J. Stern, Peter R. Wolenski (1998, ) #''Banach Algebra Techniques in Operator Theory'', Ronald G. Douglas (1998, 2nd ed., ) #''A Course on Borel Sets'', S. M. Srivastava (1998, ) #''Numerical Analysis'', Rainer Kress (1998, ) #''Ordinary Differential Equations'',

Wolfgang Walter Wolfgang Ludwig Walter (2 May 1927 – 26 June 2010) was a German mathematician, who specialized in the theory of differential equations. His textbook on ordinary differential equations became a standard graduate text on the subject at many insti ...

(1998, ) #''An Introduction to Banach Space Theory'', Robert E. Megginson (1998, ) #''Modern Graph Theory'', Béla Bollobás (1998, ) #''Using Algebraic Geometry'', David A. Cox, John Little, Donal O'Shea (2005, 2nd ed., ) #''Fourier Analysis on Number Fields'', Dinakar Ramakrishnan, Robert J. Valenza (1999, ) #''Moduli of Curves'', Joe Harris, Ian Morrison (1998, ) #''Lectures on the Hyperreals – An Introduction to Nonstandard Analysis'', Robert Goldblatt (1998, ) #''Lectures on Modules and Rings'',

Tsit-Yuen Lam Tsit Yuen Lam (;Faculty Website
retrieved 2014-08-13. born 6 February 1942

(1999, ) #''Problems in Algebraic Number Theory'', M. Ram Murty, Jody Indigo Esmonde (2005, 2nd ed., ) #''Fundamentals of Differential Geometry'',

(1999, ) #''Elements of Functional Analysis'', Francis Hirsch, Gilles Lacombe (1999, ) #''Advanced Topics in Computational Number Theory'', Henri Cohen (2000, ) #''One-Parameter Semigroups for Linear Evolution Equations'', Klaus-Jochen Engel, Rainer Nagel (2000, ) #''Elementary Methods in Number Theory'',

(2000, ) #''Basic Homological Algebra'', M. Scott Osborne (2000, ) #''The Geometry of Schemes'', Eisenbud, Joe Harris (2000, ) #''A Course in p-adic Analysis'',

Alain M. Robert Alain M. Robert is Honorary Professor at University of Neuchâtel. Robert received his PhD from the University of Neuchâtel in 1967, where he studied under Roger Bader. His dissertation ''Quelques Questions d'Espaces Vectoriels Topologiques'' conc ...

(2000, ) #''Theory of Bergman Spaces'', Hakan Hedenmalm, Boris Korenblum, Kehe Zhu (2000, ) #''An Introduction to Riemann–Finsler Geometry'', David Bao, Shiing-Shen Chern, Zhongmin Shen (2000, ) #''Diophantine Geometry'', Marc Hindry,

(2000, ) #''Introduction to Topological Manifolds'', John M. Lee (2011, 2nd ed., ) #''The Symmetric Group — Representations, Combinatorial Algorithms, and Symmetric Functions'', Bruce E. Sagan (2001, 2nd ed., ) #''Galois Theory'', Jean-Pierre Escofier (2001, ) #''Rational Homotopy Theory'', Yves Félix, Stephen Halperin, Jean-Claude Thomas (2000, ) #''Problems in Analytic Number Theory'', M. Ram Murty (2007, 2nd ed., ) #''Algebraic Graph Theory'', Chris Godsil, Gordon Royle (2001, ) #''Analysis for Applied Mathematics'', Ward Cheney (2001, ) #''A Short Course on Spectral Theory'',

(2002, ) #''Number Theory in Function Fields'', Michael Rosen (2002, ) #''Algebra'',

(2002, Revised 3rd ed, ) #''Lectures on Discrete Geometry'', Jiří Matoušek (2002, ) #''From Holomorphic Functions to Complex Manifolds'', , Hans Grauert (2002, ) #''Partial Differential Equations'', Jürgen Jost, (2013, 3rd ed., ) #''Algebraic Functions and Projective Curves'',

David M. Goldschmidt David M. Goldschmidt (born 21 May 1942, New York City) is an American mathematician specializing in group theory. Goldschmidt received in 1969 from the University of Chicago a Ph.D. under John Griggs Thompson with thesis ''On the 2-exponent of a ...

, (2003, ) #''Matrices — Theory and Applications'', Denis Serre, (2010, 2nd ed., ) #''Model Theory: An Introduction'',

David Marker David (; , "beloved one") (traditional spelling), , ''Dāwūd''; grc-koi, Δαυΐδ, Dauíd; la, Davidus, David; gez , ዳዊት, ''Dawit''; xcl, Դաւիթ, ''Dawitʿ''; cu, Давíдъ, ''Davidŭ''; possibly meaning "beloved one". w ...

, (2002, ) #''Introduction to Smooth Manifolds'', John M. Lee (2012, 2nd ed., ) #''The Arithmetic of Hyperbolic 3-Manifolds'',

Colin Maclachlan Colin may refer to: * Colin (given name) * Colin (surname) * ''Colin'' (film), a 2008 Cannes film festival zombie movie * Colin (horse) (1905–1932), thoroughbred racehorse * Colin (humpback whale), a humpback whale calf abandoned north of Sydney ...

, Alan W. Reid, (2003, ) #''Smooth Manifolds and Observables'',

Jet Nestruev Jet, Jets, or The Jet(s) may refer to: Aerospace * Jet aircraft, an aircraft propelled by jet engines ** Jet airliner ** Jet engine ** Jet fuel * Jet Airways Jet Airways (India) Ltd is an Indian airline based in Delhi NCR, with a trainin ...

, (2020, 2nd ed., ) #''

Convex Polytopes ''Convex Polytopes'' is a graduate-level mathematics textbook about convex polytopes, higher-dimensional generalizations of three-dimensional convex polyhedra. It was written by Branko Grünbaum, with contributions from Victor Klee, Micha Perles, ...

'', Branko Grünbaum (2003, 2nd ed., ) #''Lie Groups, Lie Algebras, and Representations – An Elementary Introduction'', Brian C. Hall, (2015, 2nd ed., ) #''Fourier Analysis and its Applications'', Anders Vretblad, (2003, ) #''Metric Structures in Differential Geometry'', Walschap, G., (2004, ) #''Lie Groups'', Daniel Bump, (2013, 2nd ed., ) #''Spaces of Holomorphic Functions in the Unit Ball'',

Kehe Zhu Kaph (also spelled kaf) is the eleventh letter of the Semitic abjads, including Phoenician kāp , Hebrew kāf , Aramaic kāp , Syriac kāp̄ , and Arabic kāf (in abjadi order). The Phoenician letter gave rise to the Greek kappa (Κ), Latin ...

, (2005, ) #''Combinatorial Commutative Algebra'', Ezra Miller, Bernd Sturmfels, (2005, ) #''A First Course in Modular Forms'',

Fred Diamond Fred Irvin Diamond (born November 19, 1964) is a mathematician, known for his role in proving the modularity theorem for elliptic curves. His research interest is in modular forms and Galois representations. Diamond received his B.A. from the Un ...

, J. Shurman, (2006, ) #''The Geometry of Syzygies – A Second Course in Algebraic Geometry and Commutative Algebra'',

(2005, ) #''An Introduction to Markov Processes'',

Daniel W. Stroock Daniel Wyler Stroock (born March 20, 1940) is an United States, American mathematician, a probability theory, probabilist. He is regarded and revered as one of the fundamental contributors to Malliavin calculus with Shigeo Kusuoka and the theory ...

, (2014, 2nd ed., ) #''Combinatorics of Coxeter Groups'', Anders Björner, Francisco Brenti, (2005, ) #''An Introduction to Number Theory'',

Graham Everest Graham Robert Everest (14 December 1957 in Southwick, West Sussex – 30 July 2010) was a British mathematician working on arithmetic dynamics and Recurrence relation, recursive equations in number theory. Life Everest studied at Bedford College ...

., Thomas Ward., (2005, ) #''Topics in Banach Space Theory'', Albiac, F., Kalton, N. J., (2016, 2nd ed., ) #''Analysis and Probability — Wavelets, Signals, Fractals'', Jorgensen, P. E. T., (2006, ) #''Compact Lie Groups'', M. R. Sepanski, (2007, ) #''Bounded Analytic Functions'', Garnett, J., (2007, ) #''An Introduction to Operators on the Hardy–Hilbert Space'', Ruben A. Martinez-Avendano, Peter Rosenthal, (2007, ) #''A Course in Enumeration'', Martin Aigner, (2007, ) #''Number Theory — Volume I: Tools and Diophantine Equations'', Henri Cohen, (2007, ) #''Number Theory — Volume II: Analytic and Modern Tools'', Henri Cohen, (2007, ) #''The Arithmetic of Dynamical Systems'',

, (2007, ) #''Abstract Algebra'', Grillet, Pierre Antoine, (2007, ) #''Topological Methods in Group Theory'', Geoghegan, Ross, (2007, ) #''Graph Theory'',

Adrian Bondy John Adrian Bondy (born 1944 in London) is a retired English mathematician, known for his work in combinatorics and graph theory. Career Bondy received his Ph.D. in graph theory from the University of Oxford in 1969. His advisor was Dominic W ...

, U.S.R. Murty, (2008, ) #''Complex Analysis – In the Spirit of Lipman Bers'', Rubí E. Rodríguez, Irwin Kra, Jane P. Gilman (2013, 2nd ed., ) #''A Course in Commutative Banach Algebras'', Kaniuth, Eberhard, (2008, ) #''Braid Groups'', Kassel, Christian, Turaev, Vladimir, (2008, ) #''Buildings Theory and Applications'', Abramenko, Peter, Brown, Ken (2008, ) #''Classical Fourier Analysis'', Loukas Grafakos (2014, 3rd ed., ) #''Modern Fourier Analysis'', Loukas Grafakos (2014, 3rd ed., ) #''The Finite Simple Groups'', Robert A. Wilson (2009, ) #''Distributions and Operators'',

Gerd Grubb Gerd Grubb (born 1939) is a Danish mathematician known for her research on pseudo-differential operators. She is a professor emerita in the Department of Mathematical Sciences at the University of Copenhagen, where she was the first female profes ...

, (2009, ) #''Elementary Functional Analysis'', MacCluer, Barbara D., (2009, ) #''Algebraic Function Fields and Codes'', , (2009, 2nd ed., ) #''Symmetry, Representations, and Invariants'', Goodman, Roe, Wallach, Nolan R., (2009, ) #''A Course in Commutative Algebra'', Kemper, Gregor, (2010, ) #''Deformation Theory'', Robin Hartshorne, (2010, ) #''Foundations of Optimization in Finite Dimensions'',

Osman Guler Osman is the Persian transliteration and derived from the Arabic masculine given name Uthman ( ar, عُثْمان, , link=no ''‘uthmān'') or an English surname. It may refer to: People * Osman (name), people with the name * Osman I (1258–1 ...

, (2010, ) #''Ergodic Theory – with a view towards Number Theory'', Thomas Ward, Manfred Einsiedler, (2011, ) #''Monomial Ideals'',

Jürgen Herzog Jürgen Reinhard Gerhard Herzog (; born 21 December 1941) is an Emeritus Professor of Mathematics at University of Duisburg-Essen, in Essen, Germany. From 1969 to 1975, he was Lecturer at University of Regensburg and from 1975 to 2009 a professo ...

, Hibi Takayuki(2010, ) #''Probability and Stochastics'',

Erhan Cinlar Erhan is a Turkish given of raw Turkic origin, with the combination of word “Er” and “Han”, and is a name for males. It has the meanings "Soldier King, or Soldier Khan'. Er means Soldier and Han means Khan. It is a Turkish name. Given name ...

, (2011, ) #''Essentials of Integration Theory for Analysis'',

, (2012, ) #''Analysis on Fock Spaces'',

, (2012, ) #''Functional Analysis, Calculus of Variations and Optimal Control'',

Francis H. Clarke Frank "Francis" H. Clarke (born 30 July 1948, in Montreal) is a Canadian and French mathematician. Biography Francis Clarke graduated in 1969 from McGill University with a B.Sc. degree in 1969 and in 1973 from the University of Washington with a ...

, (2013, ) #''Unbounded Self-adjoint Operators on Hilbert Space'',

Konrad Schmüdgen Konrad is a Germans, German (with variants ''Kunz'' and ''Kunze'') given name and surname that means "bold counselor" and may refer to: People Given name Surname *Alexander Konrad (1890–1940), Russian explorer *Antoine Konrad (born 1975), bir ...

, (2012, ) #''Calculus Without Derivatives'',

Jean-Paul Penot Jean Paul or ''variation'' may refer to: Places * Rue ''Jean-Paul-II'', several streets, see List of places named after Pope John Paul II * Place ''Jean Paul II'', several squares, see List of places named after Pope John Paul II People Given nam ...

, (2012, ) #''Quantum Theory for Mathematicians'', Brian C. Hall, (2013, ) #''Geometric Analysis of the Bergman Kernel and Metric'', Krantz, Steven G., (2013, ) #''Locally Convex Spaces'', M Scott Osborne, (2014, ) #''Fundamentals of Algebraic Topology'', Steven Weintraub, (2014, ) #''Integer Programming'', Michelangelo Conforti,

Gérard P. Cornuéjols Gérard ( French: ) is a French masculine given name and surname of Germanic origin, variations of which exist in many Germanic and Romance languages. Like many other early Germanic names, it is dithematic, consisting of two meaningful constitu ...

, Giacomo Zambelli, (2014, ) #''Operator Theoretic Aspects of Ergodic Theory'',

Tanja Eisner Tatjana (Tanja) Eisner (née Lobova, born 1980) is a German and Ukrainian mathematician specializing in functional analysis, operator theory as well as ergodic theory and its connection to number theory. She is a professor of mathematics at Leipzi ...

, Bálint Farkas, Markus Haase, Rainer Nagel, (2015, ) #''Homotopical Topology'',

Anatoly Fomenko Anatoly Timofeevich Fomenko (russian: Анато́лий Тимофе́евич Фоме́нко) (born 13 March 1945 in Stalino, USSR) is a Soviet and Russian conspiracy theorist, mathematician, professor at Moscow State University, well-k ...

, Dmitry Fuchs, (2016, 2nd ed., ) #''Brownian Motion, Martingales, and Stochastic Calculus'', Jean-François Le Gall, (2016, ) #''Differential Geometry – Connections, Curvature, and Characteristic Classes'', Loring W. Tu (2017, ) #''Functional Analysis, Spectral Theory, and Applications'', Manfred Einsiedler, Thomas Ward (2017, ) #''The Moment Problem'', Konrad Schmüdgen (2017, ) #''Modern Real Analysis'', William P. Ziemer (2017, 2nd ed., ) #''Binomial Ideals'', Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi (2018, ) #''Introduction to Real Analysis'', Christopher Heil (2019, ) #''Intersection Homology & Perverse Sheaves with Applications to Singularities'', Laurenţiu G. Maxim (2019, ) #''Measure, Integration & Real Analysis'', Sheldon Axler (2020, ) #''Basic Representation Theory of Algebras'', Ibrahim Assem, Flávio U Coelho (2020, ) #''Spectral Theory – Basic Concepts and Applications'', David Borthwick (2020, ) #''An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space'', Konrad Schmüdgen (2020, ) #''Lectures on Convex Geometry'', Daniel Hug, Wolfgang Weilt (2020, ) #''Explorations in Complex Functions'', Richard Beals, Roderick S. C. Wong (2020, ) #''Quaternion Algebras'', John Voight (2020, ) #''Ergodic Dynamics – From Basic Theory to Applications'', Jane M. Hawkins (2020, ) #''Lessons in Enumerative Combinatorics'', Omer Egecioglu , Adriano Garsia (2021, ) #''Mathematical Logic'', Heinz-Dieter Ebbinghaus, Jörg Flum, Wolfgang Thomas (2021, 3rd ed. ) #''Random Walk, Brownian Motion and Martingales'', Rabi Bhattacharya, Edward C. Waymire (2021, ) #''Stationary Processes and Discrete Parameter Markov Processes'', Rabi Bhattacharya, Edward C. Waymire (2022, ) #''Partial Differential Equations'', Wolfgang Arendt, Karsten Urban (2023, ) #''Measure Theory, Probability, and Stochastic Processes'', Jean-François Le Gall (2022, ) #''Drinfeld Modules'', Mihran Papikian (2023, )

Notes

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External links

Springer-Verlag's Summary of Graduate Texts in Mathematics
Series of mathematics books Mathematics textbooks Mathematics-related lists

List of books

See also

Notes

External links