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...

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Bibliographic Details

Main Author:	Swinnerton-Dyer, Henry P. F. 1927-2018 (Author)
Format:	Book
Language:	English
Published:	Cambridge Cambridge Univ. Press 2001
Edition:	1. publ.
Series:	London Mathematical Society student texts 50
Subjects:	Getaltheorie Nombres algébriques, Théorie des NÚMEROS ALGÉBRICOS TEORIA DOS NÚMEROS Algebraic number theory Algebraische Zahlentheorie Einführung
Summary:	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.
Physical Description:	IX, 146 S.
ISBN:	0521004233 052180292X