Riemann's Zeta Function (Dover Books on Mathematics)
Edwards, H. M.
From BookEnds Bookstore & Curiosities, Ojai, CA, U.S.A.
AbeBooks Seller Since July 14, 2016
Quantity: 1From BookEnds Bookstore & Curiosities, Ojai, CA, U.S.A.
AbeBooks Seller Since July 14, 2016
Quantity: 1About this Item
Softcover includes Appendix, References and Index, 315 pages. Seller Inventory # 009240
Bibliographic Details
Title: Riemann's Zeta Function (Dover Books on ...
Publisher: Dover Publications Inc.
Publication Date: 2001
Binding: Soft cover
Condition: Fine
About this title
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 Vallée 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.
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