Riemann's Zeta Function

Riemann's Zeta Function

Book - 2001
Rate this:
Dover Pubns

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.

Book News
Edwards elaborates on Bernard Riemann's eight-page paper On the Number of Primes Less Than a Given Magnitude, published in German in 1859. His goal is not to supplant the classic work, but to provide mathematics students access to it. Indeed an English translation of the original is appended. Academic Press published the 1974 edition. Cited in Books for College Libraries, 3d. ed. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Publisher: Mineola, NY : Dover Publications, 2001
Edition: Dover ed
Description: xiii, 315 p. ; 22 cm
ISBN: 9780486417400
Branch Call Number: 515.56 Edw


From the critics

Community Activity


Add a Comment

There are no comments for this title yet.

Age Suitability

Add Age Suitability

There are no age suitabilities for this title yet.


Add a Summary

There are no summaries for this title yet.


Add Notices

There are no notices for this title yet.


Add a Quote

There are no quotes for this title yet.

Explore Further

Browse by Call Number

Subject Headings


Find it at BPL

To Top