Skip to main content
Prime Obsession Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2003)

Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

View Cover

Prime Obsession Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

(2003)
Purchase Options
Purchase Options MyNAP members save 10% online. Login or Register
Overview
Contractual obligations prohibit us from offering a free PDF of this title published under the Joseph Henry Press imprint of the National Academies Press. The views expressed in this book are solely those of the author(s) and do not necessarily reflect the views of the National Academies.

Contributors

Description

In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark — a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false?

Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic — defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark — the Riemann Hypothesis — that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows — subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age.

It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many — the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution.

Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof — and those who have been consumed by it.

Topics

Suggested Citation

John Derbyshire. 2003. Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics. Washington, DC: Joseph Henry Press. https://doi.org/10.17226/10532.

Import this citation to:

Publication Info

446 pages | 5.5 x 8.5
ISBNs:
  • PDF Full Book: 978-0-309-51257-2
  • Ebook: 978-0-309-14125-3
DOI: https://doi.org/10.17226/10532

Table of Contents

skim chapter
Resources
Rights

Copyright Information

The National Academies Press and the Transportation Research Board have partnered with Copyright Clearance Center to offer a variety of options for reusing our content. You may request permission to:

  • Republish or display in another publication, presentation, or other media
  • Use in print or electronic course materials and dissertations
  • Share electronically via secure intranet or extranet
  • And more

For most Academic and Educational uses no royalties will be charged although you are required to obtain a license and comply with the license terms and conditions.

Click here to obtain permission for Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics.

Translation and Other Rights

For information on how to request permission to translate our work and for any other rights related query please click here.

Copyright.com Customer Service

For questions about using the Copyright.com service, please contact:

Copyright Clearance Center
22 Rosewood Drive
Danvers, MA 01923
Tel (toll free): 855/239-3415 (select option 1)
E-mail: info@copyright.com
Web: https://www.copyright.com