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A Brief Guide to Algebraic Number Theory download pdf

A Brief Guide to Algebraic Number Theory download pdf

A Brief Guide to Algebraic Number Theory .H. P. F. Swinnerton-Dyer
A Brief Guide to Algebraic Number Theory
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Author: H. P. F. Swinnerton-Dyer
Page Count: 160 pages
Published Date: 01 Mar 2001
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9780521004237
Download Link: A Brief Guide to Algebraic Number Theory
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This is a 2001 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.

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