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商品詳細
A Concrete Introduction to Higher Algebra. Softcover reprint of hardcover 3rd ed. 2009.
・ISBN 978-1-4419-2561-9 paper EUR 59.99
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| 著者・編者 | Childs, Lindsay N., |
|---|---|
| シリーズ | Undergraduate Texts in Mathematics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2010 |
| ページ数 | 604 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-21826＞ |
解説
This book is written as an introduction to higher algebra for students with a background of a year of calculus. It has been used as a successful undergraduate text for more than 20 years. The objective of the book is to give students enough experience in the algebraic theory of the integers and polynomials to appreciate the basic concepts of abstract algebra. New sections on Luhn's formula, Cosets and equations, and detaching coefficients are included. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are found throughout the book; hints and answers for many of them are included in an appendix.