๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A primer of analytic number theory: from Pythagoras to Riemann

โœ Scribed by Jeffrey Stopple

Book ID
127425932
Publisher
Cambridge University Press
Year
2003
Tongue
English
Weight
2 MB
Category
Library
City
Cambridge, UK; New York
ISBN-13
9780521813099

No coin nor oath required. For personal study only.

โœฆ Synopsis

This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal numbers, perfect numbers and amicable pairs, as well as to the important open problems. The culmination of the book is a brief presentation of the Riemann zeta function, which determines the distribution of prime numbers, and of the significance of the Riemann Hypothesis.

๐Ÿ“œ SIMILAR VOLUMES

Continued fractions: from analytic numbe
Continued fractions: from analytic number theory to constructive approximation: a volume in honor of L.J. Lange: continued fractions, from analytic number theory to constructive approximation, May 20-23, 1998, University of Missouri-Columbia
โœ L. J. Lange, Bruce C. Berndt, Fritz Gesztesy ๐Ÿ“‚ Library ๐Ÿ“… 1999 ๐Ÿ› American Mathematical Society ๐ŸŒ English โš– 3 MB

This volume presents the contributions from the international conference held at the University of Missouri at Columbia, marking Professor Lange's 70th birthday and his retirement from the university. The principal purpose of the conference was to focus on continued fractions as a common interdiscip