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portada Riemann's Zeta Function (Dover Books on Mathematics)
Type
Physical Book
Year
2003
Language
English
Pages
315
Format
Paperback
Weight
1
ISBN
0486417409
ISBN13
9780486417400

Riemann's Zeta Function (Dover Books on Mathematics)

H M. Edwards (Author) · Dover Publications Inc. · Paperback

Riemann's Zeta Function (Dover Books on Mathematics) - H M. Edwards

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NZ$ 51.99

Synopsis "Riemann's Zeta Function (Dover Books on Mathematics) "

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.

Customers reviews

Carlos Ferreiro García Sunday, October 06, 2024
Verified Purchase

Una fuente de información muy clara y, quizás, la más completa sobre la función Zeta de Riemann. Siguiendo el estilo histórico-genético de los conceptos matemáticos de este autor, el libro ofrece una idea de cómo estudiaban y hacían matemáticas grandes investigadores matemáticos.

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