The Hilbert Challenge

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The Hilbert Challenge
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Author : Jeremy Gray
language : en
Publisher:
Release Date : 2000
The Hilbert Challenge written by Jeremy Gray and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
David 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.
Abel S Proof
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Author : Peter Pesic
language : en
Publisher: MIT Press
Release Date : 2004-02-27
Abel S Proof written by Peter Pesic and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-27 with Technology & Engineering categories.
The intellectual and human story of a mathematical proof that transformed our ideas about mathematics. In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In this book Peter Pesic shows what an important event this was in the history of thought. He also presents it as a remarkable human story. Abel was twenty-one when he self-published his proof, and he died five years later, poor and depressed, just before the proof started to receive wide acclaim. Abel's attempts to reach out to the mathematical elite of the day had been spurned, and he was unable to find a position that would allow him to work in peace and marry his fiancé. But Pesic's story begins long before Abel and continues to the present day, for Abel's proof changed how we think about mathematics and its relation to the "real" world. Starting with the Greeks, who invented the idea of mathematical proof, Pesic shows how mathematics found its sources in the real world (the shapes of things, the accounting needs of merchants) and then reached beyond those sources toward something more universal. The Pythagoreans' attempts to deal with irrational numbers foreshadowed the slow emergence of abstract mathematics. Pesic focuses on the contested development of algebra—which even Newton resisted—and the gradual acceptance of the usefulness and perhaps even beauty of abstractions that seem to invoke realities with dimensions outside human experience. Pesic tells this story as a history of ideas, with mathematical details incorporated in boxes. The book also includes a new annotated translation of Abel's original proof.
Mathematics And The Historian S Craft
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Author : Michael Kinyon
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-18
Mathematics And The Historian S Craft written by Michael Kinyon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-18 with Mathematics categories.
The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility
A Richer Picture Of Mathematics
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Author : David E. Rowe
language : en
Publisher: Springer
Release Date : 2018-02-13
A Richer Picture Of Mathematics written by David E. Rowe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-13 with Mathematics categories.
Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.
Dr Euler S Fabulous Formula
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Author : Paul Nahin
language : en
Publisher: Princeton University Press
Release Date : 2017-04-04
Dr Euler S Fabulous Formula written by Paul Nahin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-04 with Mathematics categories.
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
The Man Who Knew Too Much
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Author : David Leavitt
language : en
Publisher: Hachette UK
Release Date : 2015-01-22
The Man Who Knew Too Much written by David Leavitt and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-22 with History categories.
The story of Alan Turing, the persecuted genius who helped break the Enigma code and create the modern computer. To solve one of the great mathematical problems of his day, Alan Turing proposed an imaginary programmable calculating machine. But the idea of actually producing a 'thinking machine' did not crystallise until he and his brilliant Bletchley Park colleagues built devices to crack the Nazis' Enigma code, thus ensuring the Allied victory in the Second World War. In so doing, Turing became a champion of artificial intelligence, formulating the famous (and still unbeaten) Turing test that challenges our ideas of human consciousness. But Turing's work was cut short when, as an openly gay man in a time when homosexuality was illegal in Britain, he was apprehended by the authorities and sentenced to a 'treatment' that amounted to chemical castration. Ultimately, it lead to his suicide, and it wasn't until 2013, after many years of campaigning, that he received a posthumous royal pardon. With a novelist's sensitivity, David Leavitt portrays Turing in all his humanity - his eccentricities, his brilliance, his fatal candour - while elegantly explaining his work and its implications.
Cooperative Work And Coordinative Practices
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Author : Kjeld Schmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-27
Cooperative Work And Coordinative Practices written by Kjeld Schmidt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-27 with Computers categories.
Information technology has been used in organisational settings and for organisational purposes such as accounting, for a half century, but IT is now increasingly being used for the purposes of mediating and regulating complex activities in which multiple professional users are involved, such as in factories, hospitals, architectural offices, and so on. The economic importance of such coordination systems is enormous but their design often inadequate. The problem is that our understanding of the coordinative practices for which these systems are developed is deficient, leaving systems developers and software engineers to base their designs on commonsensical requirements analyses. The research reflected in this book addresses these very problems. It is a collection of articles which establish a conceptual foundation for the research area of Computer-Supported Cooperative Work.
Reading Writing And Proving
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Author : Ulrich Daepp
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
Reading Writing And Proving written by Ulrich Daepp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-18 with Mathematics categories.
This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.
The Millennium Prize Problems
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Author : James Carlson
language : en
Publisher: American Mathematical Society, Clay Mathematics Institute
Release Date : 2023-09-14
The Millennium Prize Problems written by James Carlson and has been published by American Mathematical Society, Clay Mathematics Institute this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-14 with Mathematics categories.
On August 8, 1900, at the second International Congress of Mathematicians in Paris, David Hilbert delivered his famous lecture in which he described twenty-three problems that were to play an influential role in mathematical research. A century later, on May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute (CMI) announced the creation of a US$7 million prize fund for the solution of seven important classic problems which have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians. Their aim was somewhat different than that of Hilbert: not to define new challenges, but to record some of the most difficult issues with which mathematicians were struggling at the turn of the second millennium; to recognize achievement in mathematics of historical dimension; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; and to emphasize the importance of working towards a solution of the deepest, most difficult problems. The present volume sets forth the official description of each of the seven problems and the rules governing the prizes. It also contains an essay by Jeremy Gray on the history of prize problems in mathematics.
The New Math
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Author : Christopher James Phillips
language : en
Publisher: University of Chicago Press
Release Date : 2015
The New Math written by Christopher James Phillips and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Education categories.
An era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. This book examines the rise and fall of the new math as a marker of the period's political and social ferment.