Publisher's description: This is an account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; othe...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Swinnerton-Dyer, Henry P. F. 1927-2018 (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Cambridge Cambridge Univ. Press 2001
Ausgabe:	1. publ.
Schriftenreihe:	London Mathematical Society student texts 50
Schlagworte:	Getaltheorie Nombres algébriques, Théorie des NÚMEROS ALGÉBRICOS TEORIA DOS NÚMEROS Algebraic number theory Algebraische Zahlentheorie Einführung
Zusammenfassung:	Publisher's description: This is an account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included.
Beschreibung:	IX, 146 S.
ISBN:	0521004233 052180292X