By Edwin Weiss
Careful association and transparent, targeted proofs symbolize this methodical, self-contained exposition of uncomplicated result of classical algebraic quantity concept from a comparatively modem standpoint. This quantity provides lots of the number-theoretic must haves for a learn of both classification box thought (as formulated via Artin and Tate) or the modern remedy of analytical questions (as discovered, for instance, in Tate's thesis).
Although involved completely with algebraic quantity fields, this therapy positive factors axiomatic formulations with a substantial diversity of purposes. Modem summary suggestions represent the first concentration. themes comprise introductory fabrics on straightforward valuation conception, extension of valuations, neighborhood and traditional mathematics fields, and worldwide, quadratic, and cyclotomic fields.
Subjects correspond to these often coated in a one-semester, graduate point path in algebraic quantity conception, making this ebook excellent both for lecture room use or as a stimulating sequence of workouts for mathematically minded individuals.
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Extra resources for Algebraic Number Theory (Dover Books on Mathematics)
Algebraic Number Theory (Dover Books on Mathematics) by Edwin Weiss