A Concrete Introduction to Higher Algebra - Couverture rigide

Childs, Lindsay

Couverture rigide

ISBN 10 : 0387745270 ISBN 13 : 9780387745275

Editeur : Springer-Verlag New York Inc., 2008

Synopsis

This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises are found throughout the book.

A propos du livre

Présentation de l'éditeur

This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises are found throughout the book.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 0387745270
• ISBN 13: 9780387745275
• Reliure: Relié
• Numéro d'édition: 3
• Nombre de pages: 618
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Allemagne