An Introduction to Number Theory

Thomas Ward

ISBN 10: 1849969590 / ISBN 13: 9781849969598

Published by Springer London, Springer London Okt 2010, 2010

About this Item

Neuware -An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject.A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography.Written for graduate and advanced undergraduate students of mathematics, this text will also appeal to students in cognate subjects who wish to learn some of the big ideas in number theory.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 308 pp. Englisch.

Seller Inventory # 9781849969598

Bibliographic Details

• Title: An Introduction to Number Theory
• Publisher: Springer London, Springer London Okt 2010
• Publication Date: 2010
• Language: English
• ISBN 10: 1849969590
• ISBN 13: 9781849969598
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

This text covers material from both the algebraic and analytic disciplines and includes coverage of recent developments, such as the new primality test and other topics of significant interest, which are often omitted from other books at this level.  It aims to take readers to a deeper understanding of the patterns of thought that have shaped the modern understanding of number theory.

From the Back Cover

An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject.

In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory.

A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography.

Written for graduate and advanced undergraduate students of mathematics, this text will also appeal to students in cognate subjects who wish to be introduced to some of the main themes in number theory.