Analytic Methods for Diophantine Equations and Diophantine Inequalities

出版者:Cambridge Univ Press

作者:Davenport, Harold/ Browning, Tim (EDT)/ Browning, Tim

页数:160

出版时间:2005-2

价格:603.00元

装帧:Pap

isbn号码:9780521605830

丛书系列:Cambridge Mathematical Library

图书标签:数学

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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.