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The Theory of Algebraic Numbers (Dover Books on Mathematics)

The Theory of Algebraic Numbers (Dover Books on Mathematics)
Author: Harry Pollard - Harold G. Diamond - Mathematics
ISBN 13: 9780486404547
ISBN 10: 486404544
Edition: 3rd Rev ed.
Publisher: Dover Publications
Publication Date: 2010-08-19
Format: Paperback
Pages: 192
List Price: $10.95

Excellent intro to basics of algebraic number theory. Gausian primes; polynomials over a field; algebraic number fields; algebraic integers and integral bases; uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; Fermat conjecture. 1975 edition.


A brief introduction for undergraduate students and teachers, presenting detailed proofs and explanations of the elementary components of classical algebraic number theory. Begins with divisibility and Gaussian primes, and proceeds to ideal classes and class numbers and the Fermat conjecture. A slightly revised and totally unexpurgated edition of the 1975 publication by the Mathematical Association of America. Annotation c. by Book News, Inc., Portland, Or.