Mazur, Barry
Overview
Works:  89 works in 326 publications in 5 languages and 6,300 library holdings 

Genres:  History Conference papers and proceedings Educational films Filmed lectures Nonfiction films Documentary television programs Interviews 
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 802 WorldCat member libraries worldwide
A tour of the creative side of mathematics describes the first use of imaginary numbers in sixteenthcentury Italy and the subsequent twohundredyear effort to perfect the process, citing the words of key Renaissance thinkers
19 editions published between 2003 and 2013 in English and Spanish and held by 802 WorldCat member libraries worldwide
A tour of the creative side of mathematics describes the first use of imaginary numbers in sixteenthcentury Italy and the subsequent twohundredyear 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 468 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
13 editions published between 1974 and 2016 in English and held by 468 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
)
25 editions published between 1968 and 2007 in 4 languages and held by 460 WorldCat member libraries worldwide
25 editions published between 1968 and 2007 in 4 languages and held by 460 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 456 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 EichlerShimura, Igusa, and DeligneRapoport. 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
14 editions published between 1984 and 2016 in English and Undetermined and held by 456 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 EichlerShimura, Igusa, and DeligneRapoport. 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 413 WorldCat member libraries worldwide
25 editions published between 1974 and 2008 in 3 languages and held by 413 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 308 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 worldsstories 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
14 editions published in 2012 in English and held by 308 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 worldsstories 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
Padic monodromy and the Birch and SwinnertonDyer conjecture : a Workshop on padic Monodromy and the Birch and SwinnertonDyer
Conjecture, August 1216, 1991, Boston University by Workshop on Padic Monodromy and the Birch and SwinnertonDyer Conjecture(
Book
)
20 editions published in 1994 in English and held by 254 WorldCat member libraries worldwide
Recent years have witnessed significant breakthroughs in the theory of padic Galois representations and padic periods of algebraic varieties. This book contains papers presented at the Workshop on pAdic Monodromy and the Birch and SwinnertonDyer Conjecture, held at Boston University in August 1991
20 editions published in 1994 in English and held by 254 WorldCat member libraries worldwide
Recent years have witnessed significant breakthroughs in the theory of padic Galois representations and padic periods of algebraic varieties. This book contains papers presented at the Workshop on pAdic Monodromy and the Birch and SwinnertonDyer Conjecture, held at Boston University in August 1991
Filtrations on the homology of algebraic varieties by
E. M Friedlander(
Book
)
12 editions published in 1994 in English and held by 244 WorldCat member libraries worldwide
12 editions published in 1994 in English and held by 244 WorldCat member libraries worldwide
Kolyvagin systems by
Barry Mazur(
Book
)
9 editions published in 2004 in English and held by 234 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
9 editions published in 2004 in English and held by 234 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
)
9 editions published between 2015 and 2016 in English and held by 128 WorldCat member libraries worldwide
9 editions published between 2015 and 2016 in English and held by 128 WorldCat member libraries worldwide
Differential topology from the point of view of simple homotopy theory by
Barry Mazur(
Book
)
11 editions published between 1963 and 1964 in 3 languages and held by 89 WorldCat member libraries worldwide
11 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
)
7 editions published in 1959 in English and held by 71 WorldCat member libraries worldwide
7 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
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 : the theorem and its proof, an exploration of issues and ideas by
Kenneth Ribet(
Visual
)
7 editions published between 1995 and 2008 in English and held by 55 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 groundbreaking 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
7 editions published between 1995 and 2008 in English and held by 55 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 groundbreaking 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
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
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
10 editions published in 1978 in English and held by 32 WorldCat member libraries worldwide
Current developments in mathematics 1999 by
Barry Mazur(
Book
)
8 editions published in 1999 in English and Undetermined and held by 26 WorldCat member libraries worldwide
8 editions published in 1999 in English and Undetermined and held by 26 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
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
1 edition published in 1997 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Doxiadēs, Apostolos K. 1953 Author Editor
 Artin, Michael Author Editor
 Messing, William
 Hirsch, Morris W. 1933 Author
 Katz, Nicholas M. 1943 Author
 Rubin, Karl
 Friedlander, E. M. (Eric M.) 1944 Author
 Stevens, Glenn 1953 Other Editor
 Stein, William A. 1974
 American Mathematical Society
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Associated Subjects
Abelian varieties Algebraic cycles Algebraic number theory Algebraic topology Arithmetical algebraic geometry BirchSwinnertonDyer conjecture Combinatorial topology Communication in mathematics Curves, Elliptic Differential topology Fermat's last theorem Filters (Mathematics) Forms, Modular Functional analysis Functions Geometry, Algebraic Group schemes (Mathematics) Homology theory Homotopy theory Imagination Knot theory Lfunctions Lie algebras Logic, Symbolic and mathematical Manifolds (Mathematics) Mathematics MathematicsLanguage MathematicsPhilosophy MathematicsResearch Mirror symmetry Moduli theory Numbers, Complex Numbers, Prime Number theory padic analysis Piecewise linear topology Riemann hypothesis Riemannian manifolds Topology Wiles, Andrew
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 USamerikanischer Mathematiker
Mazur, B.
Mazur, B. 1937
Mazur, Barry
Mazur, Barry C. 1937
Mazur, Barry Charles
Барри Мазур американский математик
בארי מזור
باري مازور
마주르, 배리
배리 메이저 미국의 수학자
バリー・メイザー
メイザー, バリー
巴里·馬聚爾
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