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Graduate Texts in Mathematics

Index Graduate Texts in Mathematics

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. [1]

205 relations: Abstract algebra, Alain M. Robert, Alan Weinstein, Albert Shiryaev, Alexander S. Kechris, Algebraic function, Algebraic geometry, Algebraic group, Algebraic number theory, Algebraic topology, Anatoly Fomenko, Anders Björner, Anthony W. Knapp, Armand Borel, Associative algebra, Banach space, Barbara MacCluer, Béla Bollobás, Bernd Sturmfels, Boris Zilber, Branko Grünbaum, Bruce Sagan, C*-algebra, Calculus, Calculus of variations, Carl Pearcy, Categories for the Working Mathematician, Chris Godsil, Classical mechanics, Coding theory, Commutative algebra, Convex polytope, Cyclotomic field, Dale Husemoller, Daniel Bump, Daniel W. Stroock, David A. Cox, David Eisenbud, David M. Goldschmidt, Denis Serre, Derivative, Differentiable manifold, Differential geometry, Differential topology, Donald J. Newman, Edwin E. Moise, Edwin Hewitt, Elliott Ward Cheney Jr., Erhan Çinlar, Erich Hecke, ..., Fermat's Last Theorem, Fiber bundle, Field (mathematics), Fock space, Frank Spitzer, Fred Diamond, Functional analysis, Gaisi Takeuti, Galois theory, Gérard Cornuéjols, Günter M. Ziegler, General relativity, General topology, Geometric analysis, George W. Whitehead, Gerhard Hochschild, Glen Bredon, Gordon Royle, Graduate school, Graduate Studies in Mathematics, Group scheme, Hans Grauert, Harold Davenport, Harold Edwards (mathematician), Helmut H. Schaefer, Henri Cohen (number theorist), Hilbert space, Homological algebra, Homotopy, Hugh Lowell Montgomery, Hyperbolic 3-manifold, Integer programming, Integral, Irwin Kra, Isaac Namioka, J. H. van Lint, J. Laurie Snell, James E. Humphreys, Jane Piore Gilman, Jürgen Jost, Jean-Pierre Serre, Jeffrey Rauch, Jiří Matoušek (mathematician), Joe Harris (mathematician), John Adrian Bondy, John B. Conway, John C. Oxtoby, John G. Kemeny, John L. Kelley, John Stillwell, John Wermer, Jonathan Lazare Alperin, Jonathan Rosenberg (mathematician), Joseph H. Silverman, Joseph L. Doob, Karen Vogtmann, Kenneth Brown (mathematician), Knot theory, Lawrence C. Washington, Leonard Gillman, Lie algebra, Lie group, Linear algebra, Linear algebraic group, Local Fields, M. Ram Murty, Manfred Einsiedler, Marcel Berger, Martin Aigner, Marty Golubitsky, Mathematical analysis, Mathematical logic, Mathematics, Measure (mathematics), Melvyn B. Nathanson, Meyer Jerison, Michael Rosen (mathematician), Michel Loève, Model theory, Modular form, Morris Hirsch, Murray Rosenblatt, Nathan Jacobson, Neal Koblitz, Nigel Kalton, Nolan Wallach, Observable, Olli Lehto, Operator (mathematics), Operator theory, Oscar Zariski, P-adic analysis, P-adic number, Partial differential equation, Paul Halmos, Paul Malliavin, Peter Borwein, Peter Hilton, Peter J. Olver, Peter Rosenthal, Pierre Samuel, Probability, Probability theory, Projective plane, Projective variety, Rainer K. Sachs, Rajendra Bhatia, Ralph Fox, Random walk, Raoul Bott, Raymond O. Wells Jr., Real analysis, Reinhold Remmert, Representation theory, Richard Beals (mathematician), Robert Arnott Wilson, Robert Edmund Edwards, Robert Goldblatt, Robert Megginson, Robin Hartshorne, Ronald G. Douglas, Saunders Mac Lane, Serge Lang, Sergei Novikov (mathematician), Set theory, Several complex variables, Sheldon Axler, Shigeru Iitaka, Shiing-Shen Chern, Singular homology, Springer Science+Business Media, Steven E. Shreve, Steven G. Krantz, Steven Roman, Stochastic, Stochastic process, Tamás Erdélyi (mathematician), Tammo tom Dieck, Textbook, Thomas W. Hungerford, Tom M. Apostol, Topological vector space, Tsit Yuen Lam, Undergraduate Texts in Mathematics, Universal algebra, Veeravalli S. Varadarajan, Victor Guillemin, Vladimir Arnold, W. B. R. Lickorish, William Arveson, William C. Waterhouse, William Fulton (mathematician), William S. Massey, Wolfgang Walter, Yuri Manin. Expand index (155 more) »

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

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Alain M. Robert

Alain M. Robert is Honorary Professor at University of Neuchâtel.

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Alan Weinstein

Alan David Weinstein (17 June 1943, New York City) is a professor of mathematics at the University of California, Berkeley who works in symplectic geometry, Poisson geometry, and mathematical physics.

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Albert Shiryaev

Albert Nikolayevich Shiryaev (Альбе́рт Никола́евич Ширя́ев; born October 12, 1934) is a Soviet and Russian mathematician.

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Alexander S. Kechris

Alexander Sotirios Kechris (Αλέξανδρος Σωτήριος Κεχρής; born March 23, 1946) is a set theorist and logician at California Institute of Technology.

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Algebraic function

In mathematics, an algebraic function is a function that can be defined as the root of a polynomial equation.

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Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

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Algebraic group

In algebraic geometry, an algebraic group (or group variety) is a group that is an algebraic variety, such that the multiplication and inversion operations are given by regular maps on the variety.

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Algebraic number theory

Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.

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Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

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Anatoly Fomenko

Anatoly Timofeevich Fomenko (Анато́лий Тимофе́евич Фоме́нко) (born 13 March 1945 in Stalino, USSR) is a Soviet and Russian mathematician, professor at Moscow State University, well known as a topologist, and a member of the Russian Academy of Sciences.

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Anders Björner

Anders Björner (born 17 December 1947) received his Ph.D. from Stockholm University in 1979, under Bernt Lindström.

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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 group.

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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.

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Associative algebra

In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.

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Banach space

In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.

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Barbara MacCluer

Barbara Diane MacCluer is an American mathematician, formerly a professor of mathematics at the University of Virginia and now a professor emeritus there.

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Béla Bollobás

Béla Bollobás FRS (born 3 August 1943) is a Hungarian-born British mathematician who has worked in various areas of mathematics, including functional analysis, combinatorics, graph theory, and percolation.

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Bernd Sturmfels

Bernd Sturmfels (born March 28, 1962 in Kassel, West Germany) is a Professor of Mathematics and Computer Science at the University of California, Berkeley and is a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 2017.

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Boris Zilber

Boris Zilber (Борис Иосифович Зильбер, born 1949) is a Soviet-British mathematician who works in mathematical logic (specifically model theory).

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Branko Grünbaum

Branko Grünbaum (ברנקו גרונבאום; born 2 October 1929) is a Yugoslavian-born mathematician and a professor emeritus at the University of Washington in Seattle.

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Bruce Sagan

Bruce E. Sagan (born March 29, 1954, Chicago, Illinois) is a Professor of Mathematics at Michigan State University.

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C*-algebra

C∗-algebras (pronounced "C-star") are an area of research in functional analysis, a branch of mathematics.

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Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

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Calculus of variations

Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.

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Carl Pearcy

Carl Pearcy is an American mathematician whose research has been concentrated on operator theory and operator algebras.

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Categories for the Working Mathematician

Categories for the Working Mathematician (CWM) is a textbook in category theory written by American mathematician Saunders Mac Lane, who cofounded the subject together with Samuel Eilenberg.

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Chris Godsil

Christopher David Godsil is a professor and the current Chair at the Department of Combinatorics and Optimization in the faculty of mathematics at the University of Waterloo.

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Classical mechanics

Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies.

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Coding theory

Coding theory is the study of the properties of codes and their respective fitness for specific applications.

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Commutative algebra

Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings.

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Convex polytope

A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.

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Cyclotomic field

In number theory, a cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to, the field of rational numbers.

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Dale Husemoller

Dale Husemoller is an American mathematician specializing in algebraic topology and homological algebra.

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Daniel Bump

Daniel Willis Bump (born 1952) is a mathematician who is a professor at Stanford University.

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Daniel W. Stroock

Daniel Wyler Stroock (born March 20, 1940) is an American mathematician, a probabilist.

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David A. Cox

David Archibald Cox (born September 23, 1948 in Washington, D.C.) is an American mathematician, working in algebraic geometry.

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David Eisenbud

David Eisenbud (born 8 April 1947 in New York City) is an American mathematician.

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David M. Goldschmidt

David M. Goldschmidt (born 21 May 1942, New York City) is an American mathematician specializing in group theory.

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Denis Serre

Denis Serre (born 1 November 1954) is a French mathematician who works as a professor at the École normale supérieure de Lyon, where he has chaired the mathematics department since 2012.

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Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

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Differentiable manifold

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.

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Differential geometry

Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.

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Differential topology

In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds.

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Donald J. Newman

Donald J. (D. J.) Newman (July 27, 1930 – March 28, 2007) was an American mathematician and professor, excelling at the Putnam mathematics competition while an undergraduate at City College of New York and New York University, and later receiving his PhD from Harvard University in 1953.

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Edwin E. Moise

Edwin Evariste Moise (December 22, 1918 – December 18, 1998) was an American mathematician and mathematics education reformer.

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Edwin Hewitt

Edwin Hewitt (January 20, 1920, Everett, Washington – June 21, 1999) was an American mathematician known for his work in abstract harmonic analysis and for his discovery, in collaboration with Leonard Jimmie Savage, of the Hewitt–Savage zero–one law.

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Elliott Ward Cheney Jr.

Elliott Ward Cheney Jr. (June 28, 1929 – July 13, 2016) was an American mathematician and an Emeritus Professor at the University of Texas at Austin.

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Erhan Çinlar

Erhan Çınlar (born May 28, 1941, Divriği, Sivas-Turkey) is a probabilist and Professor Emeritus at Princeton University.

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Erich Hecke

Erich Hecke (20 September 1887 – 13 February 1947) was a German mathematician.

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Fermat's Last Theorem

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers,, and satisfy the equation for any integer value of greater than 2.

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Fiber bundle

In mathematics, and particularly topology, a fiber bundle (or, in British English, fibre bundle) is a space that is locally a product space, but globally may have a different topological structure.

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Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

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Fock space

The Fock space is an algebraic construction used in quantum mechanics to construct the quantum states space of a variable or unknown number of identical particles from a single particle Hilbert space.

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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, the Wiener sausage, and especially the theory of interacting particle systems.

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Fred Diamond

Fred Irvin Diamond (born November 19, 1964) is a mathematician, known for his role in proving the modularity theorem for elliptic curves.

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Functional analysis

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.

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Gaisi Takeuti

was a Japanese mathematician, known for his work in proof theory.

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Galois theory

In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.

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Gérard Cornuéjols

Gérard Pierre Cornuéjols (born 1950) is the IBM University Professor of Operations Research in the Carnegie Mellon University Tepper School of Business.

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Günter M. Ziegler

Günter Matthias Ziegler (born 19 May 1963) is a German mathematician.

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General relativity

General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.

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General topology

In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology.

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Geometric analysis

Geometric analysis is a mathematical discipline at the interface of differential geometry and differential equations.

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George W. Whitehead

George William Whitehead, Jr. (August 2, 1918 – April 12, 2004) was an American professor of mathematics at the Massachusetts Institute of Technology, a member of the United States National Academy of Sciences, and a Fellow of the American Academy of Arts and Sciences.

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Gerhard 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.

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Glen Bredon

Glen Eugene Bredon (August 24, 1932 in Fresno, California – May 8, 2000) was an American mathematician who worked in the area of topology.

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Gordon Royle

Gordon F. Royle is a Professor at the School of Mathematics and Statistics at The University of Western Australia.

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Graduate school

A graduate school (sometimes shortened as grad school) is a school that awards advanced academic degrees (i.e. master's and doctoral degrees) with the general requirement that students must have earned a previous undergraduate (bachelor's) degree with a high grade point average.

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Graduate Studies in Mathematics

Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS).

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Group scheme

In mathematics, a group scheme is a type of algebro-geometric object equipped with a composition law.

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Hans Grauert

Hans Grauert (8 February 1930 in Haren, Emsland, Germany – 4 September 2011) was a German mathematician.

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Harold Davenport

Harold Davenport FRS (30 October 1907 – 9 June 1969) was an English mathematician, known for his extensive work in number theory.

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Harold Edwards (mathematician)

Harold Mortimer Edwards, Jr. (born August 6, 1936) is an American mathematician working in number theory, algebra, and the history and philosophy of mathematics.

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Helmut H. Schaefer

Helmut Heinrich Schaefer (February 14, 1925 in Grossenhain, Germany – December 16, 2005 in Tübingen, Germany) was a German mathematician at home on both sides of the Atlantic.

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Henri Cohen (number theorist)

Henri Cohen (born 8 June 1947) is a number theorist, and a Professor at the University of Bordeaux.

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Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

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Homological algebra

Homological algebra is the branch of mathematics that studies homology in a general algebraic setting.

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Homotopy

In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.

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Hugh Lowell Montgomery

Hugh Lowell Montgomery (born August 26, 1944) is an American mathematician, working in the fields of analytic number theory and mathematical analysis.

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Hyperbolic 3-manifold

In mathematics, more precisely in topology and differential geometry, a hyperbolic 3–manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric which has all its sectional curvatures equal to -1.

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Integer programming

An integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers.

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Integral

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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Irwin Kra

Irwin Kra (born January 5, 1937 in Krasnosielc, Poland) is an American mathematician, who works on the function theory in complex analysis.

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Isaac Namioka

Isaac Namioka (born April 25, 1928) is a Japanese-American mathematician who has worked in general topology and functional analysis.

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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.

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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.

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James E. Humphreys

James Edward Humphreys (1939, Erie, Pennsylvania) is an American mathematician, who works on algebraic groups, Lie groups, and Lie algebras and applications of these mathematical structures.

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Jane Piore Gilman

Jane Piore Gilman is an American mathematician, a distinguished professor of mathematics at Rutgers University.

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Jürgen Jost

Jürgen Jost (born June 9, 1956 in Münster) is a German mathematician specializing in geometry.

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Jean-Pierre Serre

Jean-Pierre Serre (born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry, and algebraic number theory.

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Jeffrey Rauch

Jeffrey B. Rauch (born 29 November 1945, New York City) is an American mathematical physicist, specializing in partial differential equations.

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Jiří Matoušek (mathematician)

Jiří (Jirka) Matoušek (10 March 1963 – 9 March 2015) was a Czech mathematician working in computational geometry and algebraic topology.

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Joe Harris (mathematician)

Joseph Daniel Harris (born August 17, 1951), known nearly universally as Joe Harris, is a mathematician at Harvard University working in the field of algebraic geometry.

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John Adrian Bondy

John Adrian Bondy, (Born 1944) a dual British and Canadian citizen, was a professor of graph theory at the University of Waterloo, in Canada.

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John B. Conway

John Bligh Conway (born 1939) is an American mathematician.

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John C. Oxtoby

John C. Oxtoby (1910–1991) was an American mathematician.

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John G. Kemeny

John George Kemeny; May 31, 1926 – December 26, 1992) was a Jewish-American mathematician, computer scientist, and educator best known for co-developing the BASIC programming language in 1964 with Thomas E. Kurtz. Kemeny served as the 13th President of Dartmouth College from 1970 to 1981 and pioneered the use of computers in college education. Kemeny chaired the presidential commission that investigated the Three Mile Island accident in 1979. According to György Marx he was one of The Martians.

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John L. Kelley

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

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John Stillwell

John Colin Stillwell (born 1942) is an Australian mathematician on the faculties of the University of San Francisco and Monash University.

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John Wermer

John Wermer is a mathematician specializing in Complex analysis.

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Jonathan Lazare Alperin

Jonathan Lazare Alperin (born 1937) is an American mathematician specializing in the area of algebra known as group theory.

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Jonathan Rosenberg (mathematician)

Jonathan Micah Rosenberg (born December 30, 1951 in Chicago, Illinois) is an American mathematician, working in algebraic topology, operator algebras, K-theory and representation theory, with applications to string theory (especially dualities) in physics.

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Joseph H. Silverman

Joseph Hillel Silverman (born March 27, 1955, New York City) is a professor of mathematics at Brown University.

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Joseph L. Doob

Joseph Leo "Joe" Doob (February 27, 1910 – June 7, 2004) was an American mathematician, specializing in analysis and probability theory.

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Karen Vogtmann

Karen Vogtmann (born July 13, 1949 in Pittsburg, California Notices of the American Mathematical Society. September 2002, Volume 49, Issue 8, pp. 970–981) is an American mathematician working primarily in the area of geometric group theory.

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Kenneth Brown (mathematician)

Kenneth Stephen Brown (born 1945) is a professor of mathematics at Cornell University, working in category theory and cohomology theory.

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Knot theory

In topology, knot theory is the study of mathematical knots.

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Lawrence C. Washington

Lawrence Clinton Washington (born 1951, Vermont) is an American mathematician, who specializes in number theory.

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Leonard Gillman

Leonard E. "Len" Gillman (January 8, 1917 – April 7, 2009) was an American mathematician, emeritus professor at the University of Texas at Austin.

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Lie algebra

In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.

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Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

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Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

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Linear algebraic group

In mathematics, a linear algebraic group is a subgroup of the group of invertible n×n matrices (under matrix multiplication) that is defined by polynomial equations.

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Local Fields

Corps Locaux by Jean-Pierre Serre, originally published in 1962 and translated into English as Local Fields by Marvin Jay Greenberg in 1979, is a seminal graduate-level algebraic number theory text covering local fields, ramification, group cohomology, and local class field theory.

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M. Ram Murty

Maruti Ram Pedaprolu Murty, FRSC (born 16 October 1953 in Guntur, India) is an Indo-Canadian mathematician at Queen's University, where he holds a Queen's Research Chair in mathematics.

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Manfred Einsiedler

Manfred Leopold Einsiedler (6 March 1973) is an Austrian mathematician.

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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.

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Martin Aigner

Martin Aigner (born February 28, 1942 in Linz) is an Austrian mathematician, professor at Freie Universität Berlin since 1974, with interests in combinatorial mathematics and graph theory.

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Marty Golubitsky

Martin Aaron Golubitsky is an American Distinguished professor of mathematics at Ohio State University and the former director of the Mathematical Biosciences Institute.

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Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

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Mathematical logic

Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Measure (mathematics)

In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.

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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 York).

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Meyer Jerison

Meyer Jerison (November 28, 1922 – March 13, 1995) was an American mathematician known for his work in functional analysis and rings, and especially for collaborating with Leonard Gillman on one of the standard texts in the field: Rings of Continuous Functions.

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Michael Rosen (mathematician)

Michael Ira Rosen (born 7 March 1938 in Brooklyn) is an American mathematician who works on algebraic number theory, arithmetic theory of function fields, and arithmetic algebraic geometry.

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Michel Loève

Michel Loève (January 22, 1907 – February 17, 1979) was a French-American probabilist and mathematical statistician, of Jewish origin.

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Model theory

In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic.

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Modular form

In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition.

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Morris Hirsch

Morris William Hirsch (born June 28, 1933) is an American mathematician, formerly at the University of California, Berkeley.

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Murray Rosenblatt

Murray Rosenblatt (born September 7, 1926) is a statistician specializing in time series analysis who is a professor of mathematics at the University of California, San Diego.

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Nathan Jacobson

Nathan Jacobson (October 5, 1910 – December 5, 1999) was an American mathematician.

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Neal Koblitz

Neal I. Koblitz (born December 24, 1948) is a Professor of Mathematics at the University of Washington.

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Nigel Kalton

Nigel John Kalton (June 20, 1946 – August 31, 2010) was a British-American mathematician, known for his contributions to functional analysis.

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Nolan Wallach

Nolan Russell Wallach (born 3 August 1940) is a mathematician known for work in the representation theory of reductive algebraic groups.

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Observable

In physics, an observable is a dynamic variable that can be measured.

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Olli Lehto

Olli Erkki Lehto (born 30 May 1925 in Helsinki) is a Finnish mathematician, specializing in geometric function theory, and a former chancellor of the University of Helsinki.

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Operator (mathematics)

In mathematics, an operator is generally a mapping that acts on the elements of a space to produce other elements of the same space.

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Operator theory

In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators.

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Oscar Zariski

Oscar Zariski (born Oscher Zaritsky (О́скар Зари́сский; April 24, 1899 – July 4, 1986) was a Russian-born American mathematician and one of the most influential algebraic geometers of the 20th century.

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P-adic analysis

In mathematics, p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of ''p''-adic numbers.

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P-adic number

In mathematics, the -adic number system for any prime number extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems.

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Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

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Paul Halmos

Paul Richard Halmos (Halmos Pál; March 3, 1916 – October 2, 2006) was a Hungarian-Jewish-born American mathematician who made fundamental advances in the areas of mathematical logic, probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces).

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Paul Malliavin

Paul Malliavin (September 10, 1925 – June 3, 2010) was a French mathematician.

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Peter Borwein

Peter Benjamin Borwein (born St. Andrews, Scotland, May 10, 1953) is a Canadian mathematician and a professor at Simon Fraser University.

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Peter Hilton

Peter John Hilton (7 April 1923Peter Hilton, "On all Sorts of Automorphisms", The American Mathematical Monthly, 92(9), November 1985, p. 6506 November 2010) was a British mathematician, noted for his contributions to homotopy theory and for code-breaking during the Second World War.

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Peter J. Olver

Peter John Olver is an American mathematician whose primary research interests involve the applications of symmetry and Lie groups to differential equations.

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Peter Rosenthal

Peter Rosenthal (born June 1, 1941) is Professor Emeritus of Mathematics at the University of Toronto, an adjunct professor of Law at the University of Toronto, and a lawyer in private practice.

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Pierre Samuel

Pierre Samuel (12 September 1921 – 23 August 2009 Obituary of Pierre Samuel (LeMonde)) was a French mathematician, known for his work in commutative algebra and its applications to algebraic geometry.

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Probability

Probability is the measure of the likelihood that an event will occur.

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Probability theory

Probability theory is the branch of mathematics concerned with probability.

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Projective plane

In mathematics, a projective plane is a geometric structure that extends the concept of a plane.

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Projective variety

In algebraic geometry, a projective variety over an algebraically closed field k is a subset of some projective ''n''-space Pn over k that is the zero-locus of some finite family of homogeneous polynomials of n + 1 variables with coefficients in k, that generate a prime ideal, the defining ideal of the variety.

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Rainer K. Sachs

Rainer Kurt "Ray" Sachs (born June 13, 1932) is a German-American computational radiation biologist and astronomer.

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Rajendra Bhatia

Rajendra Bhatia (born 1952) is an Indian mathematician, author, and educator.

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Ralph Fox

Ralph Hartzler Fox (March 24, 1913 – December 23, 1973) was an American mathematician.

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Random walk

A random walk is a mathematical object, known as a stochastic or random process, that describes a path that consists of a succession of random steps on some mathematical space such as the integers.

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Raoul Bott

Raoul Bott, (September 24, 1923 – December 20, 2005) was a Hungarian-American mathematician known for numerous basic contributions to geometry in its broad sense.

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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.

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Real analysis

In mathematics, real analysis is the branch of mathematical analysis that studies the behavior of real numbers, sequences and series of real numbers, and real-valued functions.

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Reinhold Remmert

Reinhold Remmert (22 June 1930 – 9 March 2016) was a German mathematician.

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Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

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Richard Beals (mathematician)

Richard William Beals (28 May 1938, Erie, Pennsylvania) is an American mathematician who works on partial differential equations and functional analysis.

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Robert Arnott Wilson

Robert Arnott Wilson (born 1958) is a retired mathematician in London, England, who is best known for his work on classifying the maximal subgroups of finite simple groups and for the work in the Monster group.

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Robert Edmund Edwards

Robert Edmund Edwards (1926–2000), usually cited simply as R. E. Edwards, was a British-born Australian mathematician who specialized in functional analysis.

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Robert Goldblatt

Robert Ian Goldblatt (born 1949) is a mathematical logician at the School of Mathematics and Statistics at Victoria University, Wellington, New Zealand, and a member of the Centre for Logic, Language and Computation.

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Robert Megginson

Robert Eugene Megginson is an American mathematician, the Arthur F. Thurnau Professor of Mathematics at the University of Michigan.

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Robin Hartshorne

Robin Cope Hartshorne (born March 15, 1938) is an American mathematician.

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Ronald G. Douglas

Ronald George Douglas (December 10, 1938 – February 27, 2018) was an American mathematician, best known for his work on operator theory and operator algebras.

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Saunders Mac Lane

Saunders Mac Lane (4 August 1909 – 14 April 2005) was an American mathematician who co-founded category theory with Samuel Eilenberg.

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Serge Lang

Serge Lang (May 19, 1927 – September 12, 2005) was a French-born American mathematician and activist.

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Sergei Novikov (mathematician)

Sergei Petrovich Novikov (also Serguei) (Russian: Серге́й Петро́вич Но́виков) (born 20 March 1938) is a Soviet and Russian mathematician, noted for work in both algebraic topology and soliton theory.

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Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Several complex variables

The theory of functions of several complex variables is the branch of mathematics dealing with complex valued functions on the n-tuples of complex numbers.

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Sheldon Axler

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

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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.

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Shiing-Shen Chern

Shiing-Shen Chern (October 26, 1911 – December 3, 2004) was a Chinese-American mathematician who made fundamental contributions to differential geometry and topology.

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Singular homology

In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of algebraic invariants of a topological space X, the so-called homology groups H_n(X).

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Steven E. Shreve

Steven Eugene Shreve is a mathematician and currently the Orion Hoch Professor of Mathematical Sciences at Carnegie Mellon University and the author of several major books on the mathematics of financial derivatives.

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Steven G. Krantz

Steven George Krantz (born February 3, 1951) is an American scholar, mathematician, and writer.

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Steven Roman

Steven Roman is a mathematician, currently Emeritus Professor of Mathematics at California State University and Lecturer in Mathematics at University of California.

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Stochastic

The word stochastic is an adjective in English that describes something that was randomly determined.

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Stochastic process

--> In probability theory and related fields, a stochastic or random process is a mathematical object usually defined as a collection of random variables.

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Tamás Erdélyi (mathematician)

Tamás Erdélyi is a Hungarian-born mathematician working at Texas A&M University.

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Tammo tom Dieck

Tammo tom Dieck (29 May 1938, São Paulo) is a German mathematician, specializing in algebraic topology.

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Textbook

A textbook or coursebook (UK English) is a manual of instruction in any branch of study.

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Thomas W. Hungerford

Thomas William Hungerford (March 21, 1936 – November 28, 2014) was an American mathematician who worked in algebra and mathematics education.

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Tom M. Apostol

Tom Mike Apostol (August 20, 1923 – May 8, 2016) was an American analytic number theorist and professor at the California Institute of Technology, best known as the author of widely used mathematical textbooks.

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Topological vector space

In mathematics, a topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis.

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Tsit Yuen Lam

Tsit Yuen Lam (retrieved 2014-08-13. born 6 February 1942, retrieved 2013-01-12) is a Hong Kong-American mathematician specializing in algebra, especially ring theory and quadratic forms.

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Undergraduate Texts in Mathematics

Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.

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Universal algebra

Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures.

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Veeravalli S. Varadarajan

Veeravalli S. Varadarajan (born May 1937) is an Indian mathematician at University of California, Los Angeles who has worked in many areas of mathematics, including Lie groups and their representations, quantum mechanics, differential equations, and supersymmetry.

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Victor Guillemin

Victor William Guillemin (born 1937 in Boston) is a mathematician working in the field of symplectic geometry, who has also made contributions to the fields of microlocal analysis, spectral theory, and mathematical physics.

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Vladimir Arnold

Vladimir Igorevich Arnold (alternative spelling Arnol'd, Влади́мир И́горевич Арно́льд, 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician.

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W. B. R. Lickorish

William Bernard Raymond Lickorish (born 19 February 1938) is a mathematician.

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William Arveson

William 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.

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William C. Waterhouse

William Charles Waterhouse (December 31, 1941 – June 26, 2016) was an American mathematician.

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William Fulton (mathematician)

William Edgar Fulton (born August 29, 1939) is an American mathematician, specializing in algebraic geometry.

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William S. Massey

William Schumacher Massey (August 23, 1920 - June 17, 2017) was an American mathematician, known for his work in algebraic topology.

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Wolfgang Walter

Wolfgang Ludwig Walter (May 2, 1927 – June 26, 2010) was a German mathematician, who specialized in the theory of differential equations.

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Yuri Manin

Yuri Ivanovitch Manin (Ю́рий Ива́нович Ма́нин; born 1937) is a Soviet/Russian/German CURRICULUM VITAE at Max-Planck-Institut für Mathematik website mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics.

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References

[1] https://en.wikipedia.org/wiki/Graduate_Texts_in_Mathematics

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