WorldCat Identities

Mazur, Barry

Works: 90 works in 335 publications in 5 languages and 6,465 library holdings
Genres: History  Conference papers and proceedings  Educational films  Filmed lectures 
Roles: Author, Editor, Speaker, Author of introduction, Contributor, Other
Classifications: QA3, 512
Publication Timeline
Most widely held works by Barry Mazur
Imagining numbers : (particularly the square root of minus fifteen) by Barry Mazur( Book )

19 editions published between 2003 and 2013 in English and Spanish and held by 799 WorldCat member libraries worldwide

A tour of the creative side of mathematics describes the first use of imaginary numbers in sixteenth-century Italy and the subsequent two-hundred-year effort to perfect the process, citing the words of key Renaissance thinkers
Smoothings of piecewise linear manifolds by Morris W Hirsch( Book )

13 editions published between 1974 and 2016 in English and held by 470 WorldCat member libraries worldwide

The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely "solved" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure
Etale homotopy by Michael Artin( Book )

27 editions published between 1968 and 2007 in 4 languages and held by 465 WorldCat member libraries worldwide

Arithmetic moduli of elliptic curves by Nicholas M Katz( Book )

14 editions published between 1984 and 2016 in English and Undetermined and held by 454 WorldCat member libraries worldwide

This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's "Fundamenta Nova" in 1829, and the modern theory was erected by Eichler-Shimura, Igusa, and Deligne-Rapoport. In the past decade mathematicians have made further substantial progress in the field. This book gives a complete account of that progress, including not only the work of the authors, but also that of Deligne and Drinfeld
Universal extensions and one dimensional crystalline cohomology by Barry Mazur( Book )

25 editions published between 1974 and 2008 in 3 languages and held by 414 WorldCat member libraries worldwide

Circles disturbed : the interplay of mathematics and narrative by Apostolos K Doxiadēs( Book )

14 editions published in 2012 in English and held by 309 WorldCat member libraries worldwide

"Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier--"Don't disturb my circles"--Words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds--stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities. A book unlike any other, Circles Disturbed delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of 'myths of origins' in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more."--Jacket
P-adic monodromy and the Birch and Swinnerton-Dyer conjecture : a Workshop on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, August 12-16, 1991, Boston University by Conference on p-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture( Book )

20 editions published in 1994 in English and held by 255 WorldCat member libraries worldwide

"Recent years have witnessed significant breakthroughs in the theory of p-adic Galois representations and p-adic periods of algebraic varieties. This book contains papers presented at the Workshop on p-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, held at Boston University in August 1991. The workshop aimed to deepen understanding of the interdependence between p-adic Hodge theory, analogues of the conjecture of Birch and Swinnerton-Dyer, p-adic uniformization theory, p-adic differential equations, and deformations of Gaels representations. Much of the workshop was devoted to exploring how the special values of (p-adic and "classical") L-functions and their derivatives are relevant to arithmetic issues, as envisioned in "Birch-Swinnerton-Dyer-type conjectures", "Main Conjectures", and "Beilinson-type conjectures" a la Greenberg and Coates."--BOOK JACKET
Filtrations on the homology of algebraic varieties by E. M Friedlander( Book )

12 editions published in 1994 in English and held by 242 WorldCat member libraries worldwide

Kolyvagin systems by Barry Mazur( Book )

9 editions published in 2004 in English and held by 231 WorldCat member libraries worldwide

Introduction Local cohomology groups Global cohomology groups and Selmer structures Kolyvagin systems Kolyvagin systems over principal artinian rings Kolyvagin systems over integral domains Examples Appendix A. Proof of Theorem 3.2.4 Appendix B. Proof of Theorem 4.3.3, by Benjamin Howard Bibliography
Prime numbers and the Riemann hypothesis by Barry Mazur( Book )

14 editions published between 2015 and 2016 in English and held by 167 WorldCat member libraries worldwide

Prime numbers are beautiful, mysterious, and beguiling mathematical objects. The mathematician Bernhard Riemann made a celebrated conjecture about primes in 1859, the so-called Riemann hypothesis, which remains one of the most important unsolved problems in mathematics. Through the deep insights of the authors, this book introduces primes and explains the Riemann hypothesis. Students with a minimal mathematical background and scholars alike will enjoy this comprehensive discussion of primes. The first part of the book will inspire the curiosity of a general reader with an accessible explanation of the key ideas. The exposition of these ideas is generously illuminated by computational graphics that exhibit the key concepts and phenomena in enticing detail. Readers with more mathematical experience will then go deeper into the structure of primes and see how the Riemann hypothesis relates to Fourier analysis using the vocabulary of spectra. Readers with a strong mathematical background will be able to connect these ideas to historical formulations of the Riemann hypothesis
Differential topology from the point of view of simple homotopy theory by Barry Mazur( Book )

12 editions published between 1963 and 1964 in 3 languages and held by 89 WorldCat member libraries worldwide

The definition of equivalence of combinatorial imbeddings by Barry Mazur( Book )

8 editions published in 1959 in English and held by 71 WorldCat member libraries worldwide

Ces nombres qui n'existent pas by Barry Mazur( Book )

4 editions published between 2004 and 2005 in French and held by 70 WorldCat member libraries worldwide

L'auteur fait un parallèle entre l'atmosphère imaginative propre à la poésie et l'imagination à l'oeuvre en mathématiques. Il s'appuie sur l'exemple des nombres imaginaires (les nombres complexes, comme la racine carrée de nombres négatifs) pour nous faire vivre le voyage imaginaire qui a conduit les mathématiciens de la Renaissance italienne à envisager ces nombres
Fermat's last theorem by Kenneth Ribet( Visual )

6 editions published between 1995 and 2008 in English and held by 50 WorldCat member libraries worldwide

In June 1993 Andrew Wiles announced that he had proved Fermat's last theorem. The proof was finally completed in November 1994, when Wiles and Richard Taylor filled a technical gap that had arisen. In this lecture, Barry Mazur outlines the main ideas in this ground-breaking work. Mazur sets the context for the problem, then focuses on three concepts and the key role they play in Wiles' work: elliptoc curves, Galois representations, and modular forms. The lecture is preceded by an introduction by Mazur in March 1995, bringing the topic up to date
Topics in analytic number theory by Serge Lang( Book )

3 editions published in 1961 in English and held by 46 WorldCat member libraries worldwide

Current developments in mathematics 1998 by Barry Mazur( Book )

10 editions published between 1998 and 1999 in English and Undetermined and held by 33 WorldCat member libraries worldwide

Collected papers by Oscar Zariski( Book )

10 editions published in 1978 in English and held by 32 WorldCat member libraries worldwide

Current developments in mathematics 1999 by Barry Mazur( Book )

9 editions published in 1999 in English and Undetermined and held by 28 WorldCat member libraries worldwide

Current developments in mathematics 2000( Book )

5 editions published between 2000 and 2001 in English and held by 23 WorldCat member libraries worldwide

Colloquium on Elliptic Curves and Modular Forms by Colloquium on Elliptic Curves and Modular Forms( )

1 edition published in 1997 in English and held by 0 WorldCat member libraries worldwide

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Audience level: 0.56 (from 0.07 for Circles di ... to 0.91 for Ces nombre ...)

Imagining numbers : (particularly the square root of minus fifteen)
Alternative Names
Barry Mazur Amerikaans wiskundige

Barry Mazur amerikansk matematikar

Barry Mazur amerikansk matematiker

Barry Mazur amerykański matematyk

Barry Mazur matematico statunitense

Barry Mazur mathématicien américain

Barry Mazur US-amerikanischer Mathematiker

Mazur, B.

Mazur, B. 1937-

Mazur, Barry

Mazur, Barry C. 1937-

Mazur, Barry Charles

Mazur, Barry Charles 1937-

Барри Мазур американский математик

בארי מזור

باري مازور

마주르, 배리

배리 메이저 미국의 수학자


メイザー, バリー


English (217)

French (5)

German (3)

Italian (1)

Spanish (1)

Smoothings of piecewise linear manifoldsEtale homotopyArithmetic moduli of elliptic curvesUniversal extensions and one dimensional crystalline cohomologyKolyvagin systems