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Riemann's Zeta Function
Contributor(s): Edwards, H. M. (Author)
ISBN: 0486417409     ISBN-13: 9780486417400
Publisher: Dover Publications
OUR PRICE:   $19.80  
Product Type: Paperback - Other Formats
Published: June 2001
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Annotation: Superb study of one of the most influential classics in mathematics examines the landmark 1859 publication entitled "On the Number of Primes Less Than a Given Magnitude, " and traces developments in theory inspired by it. Topics include Riemann's main formula, the prime number theorem, the Riemann-Siegel formula, large-scale computations, Fourier analysis, and other related topics.
Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
- Mathematics | Number Theory
Dewey: 512.73
LCCN: 2001028010
Series: Dover Books on Mathematics
Physical Information: 0.69" H x 5.43" W x 8.52" (0.76 lbs) 336 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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 Vall e 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.