Number Theory

Download e-book for iPad: Algebraic Number Theory (Dover Books on Mathematics) by Edwin Weiss

By Edwin Weiss

ISBN-10: 0486401898

ISBN-13: 9780486401898

ISBN-10: 1258663597

ISBN-13: 9781258663599

Careful association and transparent, specific proofs signify this methodical, self-contained exposition of uncomplicated result of classical algebraic quantity concept from a comparatively modem viewpoint. This quantity offers many of the number-theoretic must haves for a examine of both classification box idea (as formulated by way of Artin and Tate) or the modern therapy of analytical questions (as came upon, for instance, in Tate's thesis).
Although involved solely with algebraic quantity fields, this remedy positive aspects axiomatic formulations with a substantial diversity of functions. Modem summary strategies represent the first concentration. issues contain introductory fabrics on user-friendly valuation concept, extension of valuations, neighborhood and traditional mathematics fields, and worldwide, quadratic, and cyclotomic fields.
Subjects correspond to these frequently coated in a one-semester, graduate point path in algebraic quantity idea, making this booklet excellent both for school room use or as a stimulating sequence of workouts for mathematically minded individuals.

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