By Edwin Weiss
Careful association and transparent, precise proofs signify this methodical, self-contained exposition of uncomplicated result of classical algebraic quantity thought from a comparatively modem standpoint. This quantity provides lots of the number-theoretic must haves for a examine of both type box thought (as formulated by means of Artin and Tate) or the modern remedy of analytical questions (as discovered, for instance, in Tate's thesis).
Although involved solely with algebraic quantity fields, this remedy good points axiomatic formulations with a substantial diversity of functions. Modem summary concepts represent the first concentration. subject matters contain introductory fabrics on user-friendly valuation conception, extension of valuations, neighborhood and usual mathematics fields, and international, quadratic, and cyclotomic fields.
Subjects correspond to these frequently coated in a one-semester, graduate point direction in algebraic quantity idea, making this publication excellent 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