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Analytic Methods for Diophantine Equations and Diophantine Inequalities

Analytic Methods for Diophantine Equations and Diophantine Inequalities - 05 edition

ISBN13: 978-0511079344

Cover of Analytic Methods for Diophantine Equations and Diophantine Inequalities 05 (ISBN 978-0511079344)
ISBN13: 978-0511079344
ISBN10: 0511079346

Cover type: Paperback
Edition: 05
Copyright: 2005
Publisher: Cambridge University Press
Published: 2005
International: No

List price: $74.99

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Analytic Methods for Diophantine Equations and Diophantine Inequalities - 05 edition

ISBN13: 978-0511079344

H. Davenport and T. D. Browning

ISBN13: 978-0511079344
ISBN10: 0511079346

Cover type: Paperback
Edition: 05
Copyright: 2005
Publisher: Cambridge University Press
Published: 2005
International: No
Summary

Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three prominent authorities describe the modern context and recent developments. A thorough bibliography has also been added.

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