The Theory of Algebraic Numbers

Couverture
Courier Corporation, 1 janv. 1998 - 162 pages
An excellent introduction to the basics of algebraic number theory, this concise, well-written volume examines Gaussian primes; polynomials over a field; algebraic number fields; and algebraic integers and integral bases. After establishing a firm introductory foundation, the text explores the uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; and the Fermat conjecture. 1975 edition. References. List of Symbols. Index.
 

Avis des internautes - Rédiger un commentaire

Aucun commentaire n'a été trouvé aux emplacements habituels.

Pages sélectionnées

Table des matières

DIVISIBILITY
1
THE GAUSSIAN PRIMW
14
POLYNOMIALS OVER A FIELD
25
ALGEBRAIC NUMBER FIELDS
44
BASES
59
ALGEBRAIC INTEGERS AND INTEGRAL BASES
74
ARITHMETIC IN ALGEBRAIC NUMBER FIELDS
88
THE FUNDAMENTAL THEOREM OF IDEAL THEORY
102
CONSEQUENCES OF THE FUNDAMENTAL THEOREM
120
IDEAL CLASSES AND CLASS NUMBERS
139
THE FERMAT CONJECTURE
146
Droits d'auteur

Autres éditions - Tout afficher

Expressions et termes fréquents

Informations bibliographiques