Number Theory - An Introduction via the Distribution of Primes

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.

List of contents

and Historical Remarks.- Basic Number Theory.- The Infinitude of Primes.- The Density of Primes.- Primality Testing: An Overview.- Primes and Algebraic Number Theory.

Report

This book attempts the rather ambitious task of covering much of elementary, analytic and algebraic number theory in a bit over 300 pages. -MathSciNet

Product details

• Authors: Benjami Fine, Benjamin Fine, Gerhard Rosenberger
• Publisher: Springer, Basel
• Languages: English
• Product format: Hardback
• Released: 27.11.2006
• EAN: 9780817644727
• ISBN: 978-0-8176-4472-7
• No. of pages: 342
• Weight: 506 g
• Illustrations: 12 SW-Abb., 1 Tabellen
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra