Number Theory: An Introduction via the Distribution of Primes

Number Theory: An Introduction via the Distribution of Primes
ISBN-10
0817645411
ISBN-13
9780817645410
Series
Number Theory
Category
Mathematics
Pages
342
Language
English
Published
2007-06-04
Publisher
Springer Science & Business Media
Authors
Benjamin Fine, Gerhard Rosenberger

Description

This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. Analytic number theory and algebraic number theory both receive a solid introductory treatment. The book’s user-friendly style, historical context, and wide range of exercises make it ideal for self study and classroom use.

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