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ISBN-10: 0387902791
ISBN-13: 9780387902791
Edition: 1977 (Revised)
Authors: Daniel A. Marcus
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Description: Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights  More...

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Book details

Copyright year: 1977
Publisher: Springer
Publication date: 4/27/1995
Binding: Paperback
Pages: 292
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.144
Language: English

Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.

Contents: A special case of Fermat's conjecture
Number fields and number rings
Prime decomposition in number rings
Galois theory applied to prime decomposition
The ideal class group and the unit group
The distribution of ideals in a number ring
The Dedekind zeta function and the class number formula
The distribution of primes and an introduction to class field theory

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