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A Brief Guide to Algebraic Number Theory

A Brief Guide to Algebraic Number Theory

Paperback

Series: London Mathematical Society Student Texts, Book 50

Medical ReferenceGeneral Mathematics

ISBN10: 0521004233
ISBN13: 9780521004237
Publisher: Cambridge University Press
Published: Feb 22 2001
Pages: 160
Weight: 0.51
Height: 0.34 Width: 6.04 Depth: 8.98
Language: English
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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