By Edwin Weiss
Careful association and transparent, distinct proofs symbolize this methodical, self-contained exposition of simple result of classical algebraic quantity thought from a comparatively modem perspective. This quantity offers many of the number-theoretic must haves for a research of both type box conception (as formulated through Artin and Tate) or the modern remedy of analytical questions (as chanced on, for instance, in Tate's thesis).
Although involved solely with algebraic quantity fields, this therapy gains axiomatic formulations with a substantial variety of purposes. Modem summary thoughts represent the first concentration. subject matters contain introductory fabrics on effortless valuation idea, extension of valuations, neighborhood and traditional 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 booklet excellent both for school 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