A concrete introduction to high algebra

This book is an informal and readable introduction to higher algebra at the post-calculus level. The concept of ring and field are introduced through study of the familiar examples of the intergers and polymials. A strong emphasis on congruence classes leads in a natural way to finite groups and fin...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Lindsay N Childs
Fformat: Llyfr
Iaith:Undetermined
Cyhoeddwyd: New York Springer-Verlag 1995
Pynciau:
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
Disgrifiad
Crynodeb:This book is an informal and readable introduction to higher algebra at the post-calculus level. The concept of ring and field are introduced through study of the familiar examples of the intergers and polymials. A strong emphasis on congruence classes leads in a natural way to finite groups and finite fields. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to crytography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The book includes expositions of Rabin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields