Introduction to Analytic Number Theory

By:

Tom M. Apostol

Format:

Hardback

Series:

Undergraduate Texts in Mathematics

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Description

This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet L-functions. Also included is an introduction to partitions. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus.

Release date Australia

May 11th, 1976

Author

Tom M. Apostol

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

XII, 340 p.

Pages

340

Series

Undergraduate Texts in Mathematics

Dimensions

156x234x20

ISBN-13

9780387901633

Product ID

2525290

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