Algebraic number theory / Richard A. Mollin.

Format:

Book

Author/Creator:

Mollin, Richard A., 1947- author.

Series:

Discrete mathematics and its applications.

Discrete Mathematics and Its Applications

Language:

English

Subjects (All):

Algebraic number theory.

Physical Description:

1 online resource (424 p.)

Edition:

2nd ed.

Place of Publication:

Boca Raton : Chapman and Hall/CRC, 2011.

Language Note:

English

Summary:

The second edition of this popular book features coverage of L-functions and function fields to provide a more modern view of the field. This edition also introduces class groups for both binary and quadratic forms, making it much easier to prove the finiteness of the class number of both groups via an isomorphism. In addition, the text provides new results on the relationship between quadratic residue symbols and fundamental units of real quadratic fields in conjunction with prime representation. Along with reorganizing and shortening chapters for an easier presentation of material, the author includes updated problem sets and additional examples-- Provided by publisher.

Contents:

Cover; Title; Copyright; Contents; Preface; About the Author; Suggested Course Outlines; Course Outlines; Chapter 1: Integral Domains, Ideals, and Unique Factorization; Chapter 2: Field Extensions; Chapter 3: Class Groups; Chapter 4: Applications: Equations and Sieves; Chapter 5: Ideal Decomposition in Number Fields; Chapter 6: Reciprocity Laws; Appendix A; Appendix B; Appendix C; Appendix D; Bibliography; Solutions to Odd-Numbered Exercises

Notes:

A Chapman & Hall book.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-04-006093-5

0-429-10868-0

1-4398-4599-9

9780429108686

OCLC:

726872997