Introductory Algebraic Number Theory / Edition 1

Introductory Algebraic Number Theory / Edition 1

ISBN-10:
0521540119
ISBN-13:
9780521540117
Pub. Date:
11/17/2003
Publisher:
Cambridge University Press
ISBN-10:
0521540119
ISBN-13:
9780521540117
Pub. Date:
11/17/2003
Publisher:
Cambridge University Press
Introductory Algebraic Number Theory / Edition 1

Introductory Algebraic Number Theory / Edition 1

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Overview

Suitable for senior undergraduates and beginning graduate students in mathematics, this book is an introduction to algebraic number theory at an elementary level. Prerequisites are kept to a minimum, and numerous examples illustrating the material occur throughout the text. References to suggested readings and to the biographies of mathematicians who have contributed to the development of algebraic number theory are provided at the end of each chapter. Other features include over 320 exercises, an extensive index, and helpful location guides to theorems in the text.

Product Details

ISBN-13: 9780521540117
Publisher: Cambridge University Press
Publication date: 11/17/2003
Edition description: New Edition
Pages: 448
Product dimensions: 6.69(w) x 9.61(h) x 0.91(d)

Table of Contents

Introduction; 1. Integral domains; 2. Euclidean domains; 3. Noetherian domains; 4. Elements integral over a domain; 5. Algebraic extensions of a field; 6. Algebraic number fields; 7. Integral bases; 8. Dedekind domains; 9. Norms of ideals; 10. Decomposing primes in a number field; 11. Units in real quadratic fields; 12. The ideal class group; 13. Dirichlet's unit theorem; 14. Applications to diophantine equations.
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