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Riemann's Zeta Function (Pure and Applied Mathematics, Band 58) - Softcover

Edwards, Harold M.

 
9780486417400: Riemann's Zeta Function (Pure and Applied Mathematics, Band 58)
Softcover
ISBN 10: 0486417409 ISBN 13: 9780486417400
Verlag: Dover Publications Inc., 2001

Inhaltsangabe

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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Verlag
Dover Publications Inc.
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
0486417409
ISBN 13 
9780486417400
Einband
Taschenbuch
Anzahl der Seiten
315
Kontakt zum Hersteller
Dover
info@galileo-mc.de

Dachauer Str. 5-7
F�rstenfeldbruck
82256
Deutschland