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...
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| Format: | Knjiga |
| Jezik: | Undetermined |
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New York
Springer-Verlag
1995
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| Thư viện lưu trữ: | Trung tâm Học liệu Trường Đại học Cần Thơ |
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| Sažetak: | 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 |
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