Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields. It thus avoids local methods, for example, and presents proofs in a way that highlights the important parts of the arguments.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Illustrationen
Gewicht
ISBN-13
978-3-540-90279-9 (9783540902799)
Schweitzer Klassifikation
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.
