Number Fields

by Daniel A. Marcus

1: A Special Case of Fermat's Conjecture.- 2: Number Fields and Number Rings.- 3: Prime Decomposition in Number Rings.- 4: Galois Theory Applied to Prime Decomposition.- 5: The Ideal Class Group and the Unit Group.- 6: The Distribution of Ideals in a Number Ring.- 7: The Dedekind Zeta Function and the Class Number Formula.- 8: The Distribution of Primes and an Introduction to Class Field Theory.- Appendix Commutative Rings and Ideals.- Appendix Galois Theory for Subfields of C.- Appendix Finite Fields and Rings.- Appendix Two Pages of Primes.- Further Reading.- Index of Theorems.- List of Symbols.

Genres: Mathematics

224 pages, Paperback

First published September 30, 1977

Reviews

[Wissam Raji · Rating 5 out of 5]

An excellent book on algebraic number theory and one of the clearest. The book discusses introductory topics that allows one to grasp the concepts clearly.

[Kat · Rating 3 out of 5]

Mostly good, but some parts were kind of unclear