| A Concrete Introduction to Higher Algebra Contributor(s): Childs, Lindsay N. (Author) |
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ISBN: 0387745270 ISBN-13: 9780387745275 Publisher: Springer OUR PRICE: $85.49 Product Type: Hardcover - Other Formats Published: November 2008 Annotation: 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. 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 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, 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General |
| Dewey: 512 |
| LCCN: 95005934 |
| Series: Undergraduate Texts in Mathematics |
| Physical Information: 1.3" H x 6.2" W x 9.3" (2.25 lbs) 620 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |