The Good, the Bad, and the Hungry Sale
 
 

Recently Viewed clear list


Original Essays | July 24, 2014

Jessica Valenti: IMG Full Frontal Feminism Revisited



It is arguably the worst and best time to be a feminist. In the years since I first wrote Full Frontal Feminism, we've seen a huge cultural shift in... Continue »
  1. $11.90 Sale Trade Paper add to wish list

spacer

Analytic Methods for Diophantine Equ 2ND Edition

by

Analytic Methods for Diophantine Equ 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

Davenport drew from his lectures at the University of Michigan in the early 1960s for this explanation of the use of analytic methods in the study of integer solutions to Diophantine equations and inequalities. It remains an excellent introduction to that area of number theory. The 1963 edition was published by Campus Publishers. A foreword by three contemporary mathematicians puts it in modern perspective. The bibliography has also been updated.
Annotation 2005 Book News, Inc., Portland, OR (booknews.com)

Book News Annotation:

Davenport drew from his lectures at the University of Michigan in the early 1960s for this explanation of the use of analytic methods in the study of integer solutions to Diophantine equations and inequalities. It remains an excellent introduction to that area of number theory. The 1963 edition was published by Campus Publishers. A foreword by three contemporary mathematicians puts it in modern perspective. The bibliography has also been updated. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Based on lectures given by Davenport at the University of Michigan in the early 1960s.

Table of Contents

Preface; Foreword; 1. Introduction; 2. Waring's problem: history; 3. Weyl's inequality and Hua's inequality; 4. Waring's problem: the asymptotic formula; 5. Waring's problem: the singular series; 6. The singular series continued; 7. The equation C1xk1 +...+ Csxks=N; 8. The equation C1xk1 +...+ Csxks=0; 9. Waring's problem: the number G (k); 10. The equation C1xk1 +...+ Csxks=0 again; 11. General homoogeneous equations: Birch's theorem; 12. The geometry of numbers; 13. cubic forms; 14. Cubic forms: bilinear equations; 15. Cubic forms: minor arcs and major arcs; 16. Cubic forms: the singular integral; 17. Cubic forms: the singular series; 18. Cubic forms: the p-adic problem; 19. Homogeneous equations of higher degree; 20. A Diophantine inequality; Bibliography; Index.

Product Details

ISBN:
9780521605830
Prepared:
Browning, T. D.
Publisher:
Cambridge University Press
Prepared by:
Browning, T. D.
Prepared:
Browning, T. D.
Author:
Davenport, H.
Author:
Davenport, Harold
Author:
Browning, T. D.
Location:
Cambridge
Subject:
Number Theory
Subject:
Diophantine analysis
Subject:
Diophantine equations.
Subject:
Mathematics-Number Theory
Edition Number:
2
Series:
Cambridge Mathematical Library
Publication Date:
20050231
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
160
Dimensions:
9.02x6.14x.34 in. .57 lbs.

Other books you might like

  1. Duality in Analytic Number Theory New Trade Paper $97.25
  2. New Cambridge Shakespeare #17:... New Hardcover $181.25
  3. Progress in Galois Theory New Hardcover $219.75
  4. Arithmetic of Algebraic Curves... New Hardcover $490.50
  5. Analytic Number Theory #177:... New Hardcover $67.25
  6. The Method of Trigonometrical Sums... New Trade Paper $12.95

Related Subjects

» History and Social Science » Economics » General
» History and Social Science » Law » General
» Science and Mathematics » Mathematics » Advanced
» Science and Mathematics » Mathematics » General
» Science and Mathematics » Mathematics » Number Theory

Analytic Methods for Diophantine Equ 2ND Edition New Trade Paper
0 stars - 0 reviews
$79.75 Backorder
Product details 160 pages Cambridge University Press - English 9780521605830 Reviews:
"Synopsis" by , Based on lectures given by Davenport at the University of Michigan in the early 1960s.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.