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Riemann's Zeta Function
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Riemann's Zeta Function Paperback - 2001

by H. M. Edwards


From the publisher

Bernhard Riemann's eight-page paper entitled "On the Number of Primes Less Than a Given Magnitude" was a landmark publication of 1859 that directly influenced generations of great mathematicians, among them Hadamard, Landau, Hardy, Siegel, Jensen, Bohr, Selberg, Artin, and Hecke. This text, by a noted mathematician and educator, examines and amplifies the paper itself, and traces the developments in theory inspired by it. (An English translation of the original document appears in the Appendix.)
Topics include Riemann's main formula, the prime number theorem, de la Valle Poussin's theorem, numerical analysis of roots by Euler-Maclaurin summation, the Riemann-Siegel formula, largescale computations, Fourier analysis, zeros on the line, the Riemann hypothesis and Farey series, alternative proof of the integral formula, Tauberian theorems, Chebyshev's identity, and other related topics.
This inexpensive edition of Edwards' superb high-level study will be welcomed by students and mathematicians. Mathematically inclined general readers will likewise value this influential classic.

First line

This book is a study of Bernhard Riemann's epoch-making 8-page paper "On the Number of Primes Less Than a Given Magnitude," and of the subsequent developments in the theory which this paper inaugurated.

Details

  • Title Riemann's Zeta Function
  • Author H. M. Edwards
  • Binding Paperback
  • Edition Dover Ed
  • Pages 336
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, Mineola, New York, U.S.A.
  • Date June 13, 2001
  • ISBN 9780486417400 / 0486417409
  • Weight 0.76 lbs (0.34 kg)
  • Dimensions 8.52 x 5.43 x 0.69 in (21.64 x 13.79 x 1.75 cm)
  • Library of Congress subjects Number theory, Functions, Zeta
  • Library of Congress Catalog Number 2001028010
  • Dewey Decimal Code 512.73

Media reviews

Citations

  • Scitech Book News, 12/01/2001, Page 40
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Riemann's Zeta Function (Dover Books on Mathematics)

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by Edwards, H M.

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