Download e-book for iPad: Algebraic Number Theory (Dover Books on Mathematics) by Edwin Weiss
By Edwin Weiss
Careful association and transparent, precise proofs represent this methodical, self-contained exposition of uncomplicated result of classical algebraic quantity thought from a comparatively modem viewpoint. This quantity offers many of the number-theoretic must haves for a examine of both type box thought (as formulated via Artin and Tate) or the modern therapy of analytical questions (as stumbled on, for instance, in Tate's thesis).
Although involved solely with algebraic quantity fields, this therapy positive factors axiomatic formulations with a substantial variety of functions. Modem summary innovations represent the first concentration. subject matters comprise introductory fabrics on effortless valuation conception, extension of valuations, neighborhood and usual mathematics fields, and international, quadratic, and cyclotomic fields.
Subjects correspond to these frequently lined in a one-semester, graduate point direction in algebraic quantity thought, making this ebook perfect both for lecture room use or as a stimulating sequence of routines for mathematically minded individuals.
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Algebraic Number Theory (Dover Books on Mathematics) by Edwin Weiss