The Riemann Hypothesis Hardback - 2007 - 2008th Edition
by Peter Borwein
- New
- Hardcover
Description
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Details
- Title The Riemann Hypothesis
- Author Peter Borwein
- Binding Hardback
- Edition number 2008th
- Edition 2008
- Condition New
- Pages 533
- Volumes 1
- Language ENG
- Publisher Springer, New York
- Date 2007-11-30
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- Bookseller's Inventory # ria9780387721255_inp
- ISBN 9780387721255 / 0387721258
- Weight 1.96 lbs (0.89 kg)
- Dimensions 9.25 x 6.52 x 1.22 in (23.50 x 16.56 x 3.10 cm)
- Library of Congress subjects Number theory, Numbers, Prime
- Dewey Decimal Code 512.7
From the publisher
From the rear cover
The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors."
The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers.
This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis.
The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.
