Gray, Jeremy 1947
Overview
Works:  67 works in 402 publications in 5 languages and 12,916 library holdings 

Genres:  History Biography Conference proceedings Criticism, interpretation, etc 
Roles:  Author, Editor, Author of introduction, Commentator, Contributor, Host, Collaborator, Compiler 
Classifications:  QA21, 510.92 
Publication Timeline
.
Most widely held works by
Jeremy Gray
The History of mathematics : a reader by
John Fauvel(
Book
)
27 editions published between 1986 and 2006 in English and Undetermined and held by 936 WorldCat member libraries worldwide
27 editions published between 1986 and 2006 in English and Undetermined and held by 936 WorldCat member libraries worldwide
Ideas of space : Euclidean, nonEuclidean, and relativistic by
Jeremy Gray(
Book
)
23 editions published between 1979 and 2003 in English and Spanish and held by 926 WorldCat member libraries worldwide
23 editions published between 1979 and 2003 in English and Spanish and held by 926 WorldCat member libraries worldwide
The Hilbert challenge by
Jeremy Gray(
Book
)
20 editions published between 2000 and 2007 in 4 languages and held by 772 WorldCat member libraries worldwide
Few problems in mathematics have had the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving some of them like Fermat's last theorem, but several remain unsolved including the Riemann Hypotheses, which has eluded all the great minds of this century. A hundred years later, this book takes a fresh look at the problems, the man who set them, and the reasons for their lasting impact on the mathematics of the twentieth century. In this book, the authors consider what makes this the preeminent collection of problems in mathematics, what they tell us about what drives mathematicians, and the nature of reputation, influence and power in the world of modern mathematics
20 editions published between 2000 and 2007 in 4 languages and held by 772 WorldCat member libraries worldwide
Few problems in mathematics have had the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving some of them like Fermat's last theorem, but several remain unsolved including the Riemann Hypotheses, which has eluded all the great minds of this century. A hundred years later, this book takes a fresh look at the problems, the man who set them, and the reasons for their lasting impact on the mathematics of the twentieth century. In this book, the authors consider what makes this the preeminent collection of problems in mathematics, what they tell us about what drives mathematicians, and the nature of reputation, influence and power in the world of modern mathematics
Linear differential equations and group theory from Riemann to Poincare by
Jeremy Gray(
Book
)
40 editions published between 1985 and 2008 in English and held by 699 WorldCat member libraries worldwide
"This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and nonEuclidean geometry."Jacket
40 editions published between 1985 and 2008 in English and held by 699 WorldCat member libraries worldwide
"This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and nonEuclidean geometry."Jacket
Plato's ghost : the modernist transformation of mathematics by
Jeremy Gray(
Book
)
12 editions published in 2008 in English and held by 627 WorldCat member libraries worldwide
Plato's Ghost examines the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. from publisher description
12 editions published in 2008 in English and held by 627 WorldCat member libraries worldwide
Plato's Ghost examines the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. from publisher description
Worlds out of nothing : a course in the history of geometry in the 19th century by
Jeremy Gray(
Book
)
34 editions published between 2006 and 2011 in English and Undetermined and held by 548 WorldCat member libraries worldwide
"Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to the reader with a general interest in the history of mathematics. Emphasis is placed on understanding the historical significance of the new mathematics: Why was it done? How  if at all  was it appreciated? What new questions did it generate?"Jacket
34 editions published between 2006 and 2011 in English and Undetermined and held by 548 WorldCat member libraries worldwide
"Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to the reader with a general interest in the history of mathematics. Emphasis is placed on understanding the historical significance of the new mathematics: Why was it done? How  if at all  was it appreciated? What new questions did it generate?"Jacket
Geometry by
D. A Brannan(
Book
)
30 editions published between 1998 and 2012 in English and held by 530 WorldCat member libraries worldwide
"This is a textbook that demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, nonEuclidean and spherical. In each case the key results are explained carefully, and the relationships between the geometries are discussed."BOOK JACKET. "This richly illustrated and clearly written text includes full solutions to over 200 problems, and is suitable both for undergraduate courses on geometry and as a resource for self study."BOOK JACKET
30 editions published between 1998 and 2012 in English and held by 530 WorldCat member libraries worldwide
"This is a textbook that demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, nonEuclidean and spherical. In each case the key results are explained carefully, and the relationships between the geometries are discussed."BOOK JACKET. "This richly illustrated and clearly written text includes full solutions to over 200 problems, and is suitable both for undergraduate courses on geometry and as a resource for self study."BOOK JACKET
Henri Poincaré : a scientific biography by
Jeremy Gray(
Book
)
15 editions published between 2011 and 2013 in English and held by 525 WorldCat member libraries worldwide
"Henri Poincaré (18541912) was not just one of the most inventive, versatile, and productive mathematicians of all timehe was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first indepth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincaré's influence was wideranging and permanent. His novel interpretation of nonEuclidean geometry challenged contemporary ideas about space, stirred heated discussion, and led to flourishing research. His work in topology began the modern study of the subject, recently highlighted by the successful resolution of the famous Poincaré conjecture. And Poincaré's reformulation of celestial mechanics and discovery of chaotic motion started the modern theory of dynamical systems. In physics, his insights on the Lorentz group preceded Einstein's, and he was the first to indicate that space and time might be fundamentally atomic. Poincaré the public intellectual did not shy away from scientific controversy, and he defended mathematics against the attacks of logicians such as Bertrand Russell, opposed the views of Catholic apologists, and served as an expert witness in probability for the notorious Dreyfus case that polarized France. Richly informed by letters and documents, Henri Poincaré demonstrates how one man's work revolutionized math, science, and the greater world"
15 editions published between 2011 and 2013 in English and held by 525 WorldCat member libraries worldwide
"Henri Poincaré (18541912) was not just one of the most inventive, versatile, and productive mathematicians of all timehe was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first indepth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincaré's influence was wideranging and permanent. His novel interpretation of nonEuclidean geometry challenged contemporary ideas about space, stirred heated discussion, and led to flourishing research. His work in topology began the modern study of the subject, recently highlighted by the successful resolution of the famous Poincaré conjecture. And Poincaré's reformulation of celestial mechanics and discovery of chaotic motion started the modern theory of dynamical systems. In physics, his insights on the Lorentz group preceded Einstein's, and he was the first to indicate that space and time might be fundamentally atomic. Poincaré the public intellectual did not shy away from scientific controversy, and he defended mathematics against the attacks of logicians such as Bertrand Russell, opposed the views of Catholic apologists, and served as an expert witness in probability for the notorious Dreyfus case that polarized France. Richly informed by letters and documents, Henri Poincaré demonstrates how one man's work revolutionized math, science, and the greater world"
Carl Friedrich Gauss : titan of science by
G. Waldo Dunnington(
Book
)
10 editions published in 2004 in English and held by 487 WorldCat member libraries worldwide
"This biography of Gauss, by far the most comprehensive in English, is the work of a professor of German, G. Waldo Dunnington, who devoted most of his scholarly career to studying the life of Germany's greatest mathematician. The author was inspired to pursue this project at the age of twelve when he learned from his teacher in Missouri that no full biography of Gauss existed at the time. His teacher was Gauss's great granddaughter, Minna Waldeck Gauss." "Long outofprint and almost impossible to find on the used book market, this valuable piece of scholarship is being reissued in an augmented form with introductory remarks, an expanded and updated bibliography, and a commentary on Gauss's mathematical diary, by the eminent British mathematical historian, Jeremy Gray. Also included are personal reminiscences about Dunnington himself, by FritzEgbert Dohse, who not only knew Dunnington but also had an interesting connection to Gauss: his greatgrandfather, Christian Heinrich Hesemann, was the sculptor whose bust of Gauss is widely known and is pictured in the book."Jacket
10 editions published in 2004 in English and held by 487 WorldCat member libraries worldwide
"This biography of Gauss, by far the most comprehensive in English, is the work of a professor of German, G. Waldo Dunnington, who devoted most of his scholarly career to studying the life of Germany's greatest mathematician. The author was inspired to pursue this project at the age of twelve when he learned from his teacher in Missouri that no full biography of Gauss existed at the time. His teacher was Gauss's great granddaughter, Minna Waldeck Gauss." "Long outofprint and almost impossible to find on the used book market, this valuable piece of scholarship is being reissued in an augmented form with introductory remarks, an expanded and updated bibliography, and a commentary on Gauss's mathematical diary, by the eminent British mathematical historian, Jeremy Gray. Also included are personal reminiscences about Dunnington himself, by FritzEgbert Dohse, who not only knew Dunnington but also had an interesting connection to Gauss: his greatgrandfather, Christian Heinrich Hesemann, was the sculptor whose bust of Gauss is widely known and is pictured in the book."Jacket
János Bolyai, nonEuclidean geometry, and the nature of space by
Jeremy Gray(
Book
)
10 editions published between 2004 and 2006 in English and held by 474 WorldCat member libraries worldwide
In this short book, Jeremy Gray explains Bolyai's ideas and the historical context in which they emerged, were debated, and were eventually recognized as a central achievement in the Western intellectual tradition
10 editions published between 2004 and 2006 in English and held by 474 WorldCat member libraries worldwide
In this short book, Jeremy Gray explains Bolyai's ideas and the historical context in which they emerged, were debated, and were eventually recognized as a central achievement in the Western intellectual tradition
Mathematical conversations : selections from the mathematical intelligencer by
Robin J Wilson(
Book
)
13 editions published between 1999 and 2001 in English and held by 361 WorldCat member libraries worldwide
This volume contains approximately fifty articles that were published in "The Mathematical Intelligencer" during its first eighteen years. The selection exhibits the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. The articles are introduced by the editors
13 editions published between 1999 and 2001 in English and held by 361 WorldCat member libraries worldwide
This volume contains approximately fifty articles that were published in "The Mathematical Intelligencer" during its first eighteen years. The selection exhibits the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. The articles are introduced by the editors
The architecture of modern mathematics : essays in history and philosophy by
José Ferreirós Domínguez(
Book
)
14 editions published between 2006 and 2009 in English and held by 311 WorldCat member libraries worldwide
Annotation
14 editions published between 2006 and 2009 in English and held by 311 WorldCat member libraries worldwide
Annotation
The geometrical work of Girard Desargues by
Gérard Desargues(
Book
)
10 editions published in 1987 in English and held by 292 WorldCat member libraries worldwide
10 editions published in 1987 in English and held by 292 WorldCat member libraries worldwide
NonEuclidean geometry in the theory of automorphic functions by
Jacques Hadamard(
Book
)
7 editions published in 1999 in English and held by 268 WorldCat member libraries worldwide
"This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincare."BOOK JACKET. "Poincare's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of nonEuclidean geometry."Jacket
7 editions published in 1999 in English and held by 268 WorldCat member libraries worldwide
"This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincare."BOOK JACKET. "Poincare's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of nonEuclidean geometry."Jacket
Episodes in the history of modern algebra (18001950)(
Book
)
9 editions published in 2007 in English and held by 245 WorldCat member libraries worldwide
Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call "modern algebra" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenthcentury work of Charles Babbage on functional equations to Alexandre Grothendieck's midtwentiethcentury metaphor of a "rising sea" in his categorical approach to algebraic geometry. In addition to considering the technical development of various aspects of algebraic thought, the historians of modern algebra whose work is united in this volume explore such themes as the changing aims and organization of the subject as well as the often complex lines of mathematical communication within and across national boundaries. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of noncommutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century. The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular. It will be of particular interest to mathematicians and historians of mathematics. Copublished with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners
9 editions published in 2007 in English and held by 245 WorldCat member libraries worldwide
Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call "modern algebra" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenthcentury work of Charles Babbage on functional equations to Alexandre Grothendieck's midtwentiethcentury metaphor of a "rising sea" in his categorical approach to algebraic geometry. In addition to considering the technical development of various aspects of algebraic thought, the historians of modern algebra whose work is united in this volume explore such themes as the changing aims and organization of the subject as well as the often complex lines of mathematical communication within and across national boundaries. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of noncommutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century. The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular. It will be of particular interest to mathematicians and historians of mathematics. Copublished with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners
The symbolic universe : geometry and physics 18901930(
Book
)
10 editions published between 1999 and 2005 in English and held by 243 WorldCat member libraries worldwide
10 editions published between 1999 and 2005 in English and held by 243 WorldCat member libraries worldwide
Police and people in London : the PSI report by
David John Smith(
Book
)
7 editions published in 1985 in English and held by 181 WorldCat member libraries worldwide
7 editions published in 1985 in English and held by 181 WorldCat member libraries worldwide
L'Europe mathématique : histoires, mythes, identités = Mathematical Europe : history, myth, identity(
Book
)
8 editions published in 1996 in 3 languages and held by 122 WorldCat member libraries worldwide
8 editions published in 1996 in 3 languages and held by 122 WorldCat member libraries worldwide
Police and people in London by David J Smith(
Book
)
3 editions published in 1983 in English and held by 113 WorldCat member libraries worldwide
3 editions published in 1983 in English and held by 113 WorldCat member libraries worldwide
Hidden harmony  geometric fantasies : the rise of complex function theory by
U Bottazzini(
Book
)
12 editions published in 2013 in English and held by 66 WorldCat member libraries worldwide
Hidden Harmony Geometric Fantasies describes the history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject  Cauchy, Riemann, and Weierstrass  it looks at the contributions of great mathematicians from d'Alembert to Poincaré, and Laplace to Weyl. Select chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been placed on the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. This book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main players lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. This work is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It is a major resource for professional mathematicians as well as advanced undergraduate and graduate students and anyone studying complex function theory.
12 editions published in 2013 in English and held by 66 WorldCat member libraries worldwide
Hidden Harmony Geometric Fantasies describes the history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject  Cauchy, Riemann, and Weierstrass  it looks at the contributions of great mathematicians from d'Alembert to Poincaré, and Laplace to Weyl. Select chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been placed on the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. This book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main players lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. This work is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It is a major resource for professional mathematicians as well as advanced undergraduate and graduate students and anyone studying complex function theory.
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Audience Level
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Related Identities
 Ferreirós Domínguez, José Editor
 Poincaré, Henri 18541912 Author
 Fauvel, John Author Editor
 Open University
 Hilbert, David 18621943 Bibliographic antecedent Honoree
 Brannan, D. A. Author
 Esplen, Matthew F. Contributor
 Dunnington, G. Waldo (Guy Waldo) 1906 Author
 Dohse, FritzEgbert Author of introduction
 Bolyai, János 18021860
Associated Subjects
Aesthetics, Modern Algebra Automorphic functions Bolyai, János, Conics, Spherical Desargues, Gérard, Differential equations Differential equations, Linear Europe France Functional analysis Functions of complex variables Gauss, Carl Friedrich, Geometry Geometry, NonEuclidean Germany Great Britain.Metropolitan Police Office Group theory Hilbert, David, Influence (Literary, artistic, etc.) London (England) Mathematical physics Mathematicians Mathematics MathematicsPhilosophy Number theory Perspective Poincaré, Henri, Police Policecommunity relations PolicePublic opinion Public opinion Scientists Space and time Space and timeMathematical models
Alternative Names
Gray, J.
Gray, J. J.
Gray, J. J. 1947
Gray, J. J. (Jeremy J.), 1947
Gray, Jeremy
Gray, Jeremy 1947
Gray, Jeremy J.
Gray, Jeremy J. 1947
グレイ, J. J
グレイ, ジェレミー・J
Languages
Covers