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Product Identifiers
PublisherOxford University Press, Incorporated
ISBN-100198506511
ISBN-139780198506515
eBay Product ID (ePID)1695509
Product Key Features
Number of Pages328 Pages
LanguageEnglish
Publication NameHilbert Challenge
SubjectHistory & Philosophy, General
Publication Year2001
TypeTextbook
AuthorJeremy J. Gray
Subject AreaMathematics, Science
FormatHardcover
Dimensions
Item Height0.9 in
Item Weight19.9 Oz
Item Length8.5 in
Item Width5.4 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2001-270619
Dewey Edition21
ReviewsFor those who are interested in the genesis and influence of the Hilbert Problems, I strongly recommend .... the recent book by Jeremy Gray, "...the story about the interaction of the personalities and the split between pure and applied mathematics makes very interesting reading. Mathematics is in many ways just another human endeavor, subject to petty spats, nationalistic rivalries and personal biases. While emphasis is on the famous 23 problems, enough effort is expended on what else he did to make the book as much a biography of Hilbert as it is on the problems he posed. That alone would make it well worth reading." -- Charles Ashbacher, Journal of Recreational Mathematics, May 2001"[R]ecommended to everybody interested in the twentieth century mathematics."--Zentralblatt MATH"[C]ontains illuminating information about the mathematical development and contributions of Hilbert himself and an expert's panoramic view of the mathematics in this period."--American Mathematical Monthly, "...the story about the interaction of the personalities and the split between pure and applied mathematics makes very interesting reading. Mathematics is in many ways just another human endeavor, subject to petty spats, nationalistic rivalries and personal biases. While emphasis is on the famous 23 problems, enough effort is expended on what else he did to make the book as much a biography of Hilbert as it is on the problems he posed. That alone would make it well worth reading." --Charles Ashbacher, Journal of Recreational Mathematics, May 2001 "[R]ecommended to everybody interested in the twentieth century mathematics."--Zentralblatt MATH "[C]ontains illuminating information about the mathematical development and contributions of Hilbert himself and an expert's panoramic view of the mathematics in this period."--American Mathematical Monthly, '"This book is an important contribution to the history of modernmathematics. It is good to have Hilbert's lecture conveniently available, andJeremy Gray's understanding of the problems and comments on them areinvaluable."'MAA Online, '"This book is an important contribution to the history of modern mathematics. It is good to have Hilbert's lecture conveniently available, and Jeremy Gray's understanding of the problems and comments on them are invaluable."'MAA Online, 'The book stands out in the panorama of the historiography of mathematics as an example of how problems and themes in modern amthematics can be presented rigourously, and yet in a fashion that makes them accessible to the wider audience of the historians of science'British Society for the History of Science, '"illuminating and highly recommended"'Nature'"lively and informative"'Physics World, d April 2001'"This book is an important contribution to the history of modern mathematics. It is good to have Hilbert's lecture conveniently available, and Jeremy Gray's understanding of the problems and comments on them are invaluable."'MAA Online'The book stands out in the panorama of the historiography of mathematics as an example of how problems and themes in modern amthematics can be presented rigourously, and yet in a fashion that makes them accessible to the wider audience of the historians of science'British Society for the History of Science, "...the story about the interaction of the personalities and the split between pure and applied mathematics makes very interesting reading. Mathematics is in many ways just another human endeavor, subject to petty spats, nationalistic rivalries and personal biases. While emphasis is on the famous 23 problems, enough effort is expended on what else he did to make the book as much a biography of Hilbert as it is on the problems he posed. That alone would make it well worth reading." -- Charles Ashbacher, Journal of Recreational Mathematics, May 2001 "[R]ecommended to everybody interested in the twentieth century mathematics."--Zentralblatt MATH "[C]ontains illuminating information about the mathematical development and contributions of Hilbert himself and an expert's panoramic view of the mathematics in this period."--American Mathematical Monthly
TitleLeadingThe
IllustratedYes
Dewey Decimal510/.92
Table Of Content1. The future unveiled2. The shaping of a pioneer3. The beacons are lit4. The early response: 1900-1914/185. Between the wars: foundations examined6. After 19457. EpilogueAppendix 1: The Hilbert problems 1900-1999Appendix 2: Logical mattersGlossaryGeneral referencesIndex
SynopsisDavid Hilbert was arguably the leading mathematician of his generation. He was among the few mathematicians who could reshape mathematics, and was able to because he brought together an impressive technical power and mastery of detail with a vision of where the subject was going and how it should get there. This was the unique combination which he brought to the setting of his famous 23 Problems. Few problems in mathematics have the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving individual ones such as Fermat's last theorem, and several remain unsolved including the Riemann hypotheses, which has eluded all the great minds of this century. A hundred years on, it is timely to take 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 fascinating new book, Jeremy Gray and David Rowe consider what has made this the pre-eminent 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. The book is written in a clear and lively manner and will appeal both to the general reader with an interest in mathematics and to mathematicians themselves., In 1900, David Hilbert posed a set of 23 unsolved mathematical problems, thus setting an agenda for mathematics that lasted throughout the 20th Century. Some, like Fermat's last theorem, have now been solved; others, such as the Riemann hypothesis, continue to challenge the best mathematical brains of our time. This book addresses the nature of Hilbert and his problems, and their significance for the progress of mathematics in our time., 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 fascinating book, the authors consider what makes this the pre-eminent 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. It is written in a clear and entertaining style and will appeal to anyone with interest in mathematics or those mathematicians willing to try their hand at these problems.
LC Classification NumberQA29.H5G739 2000
