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A brief guide to algebraic number threory

✍ Scribed by H. P. F. Swinnerton-Dyer, Peter Swinnerton-Dyer

Book ID
127405578
Publisher
Cambridge University Press
Year
2001
Tongue
English
Weight
973 KB
Series
London Mathematical Society Student Texts 050
Edition
annotated edition
Category
Library
ISBN
052180292X

No coin nor oath required. For personal study only.

✦ Synopsis

This account of Algebraic Number Theory 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.

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