An Introduction to Number Theory: 232 - Rilegato

Everest, Graham

Rilegato

ISBN 10: 1852339179 ISBN 13: 9781852339173

Casa editrice: Springer Nature, 2005

Riassunto

Includes up-to-date material on recent developments and topics of significant interest, such as elliptic functions and the new primality test

Selects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2005
• Lingua: Inglese
• ISBN 10: 1852339179
• ISBN 13: 9781852339173
• Rilegatura: Copertina rigida
• Numero di pagine: 294
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania