By Edwin Weiss

Careful association and transparent, exact proofs represent this methodical, self-contained exposition of easy result of classical algebraic quantity idea from a comparatively modem viewpoint. This quantity offers lots of the number-theoretic necessities for a research of both classification box concept (as formulated by means of Artin and Tate) or the modern remedy of analytical questions (as chanced on, for instance, in Tate's thesis).

Although involved completely with algebraic quantity fields, this therapy positive factors axiomatic formulations with a substantial diversity of functions. Modem summary innovations represent the first concentration. issues comprise introductory fabrics on user-friendly valuation idea, extension of valuations, neighborhood and usual mathematics fields, and worldwide, quadratic, and cyclotomic fields.

Subjects correspond to these often lined in a one-semester, graduate point direction in algebraic quantity thought, making this publication perfect both for school room use or as a stimulating sequence of workouts for mathematically minded individuals.

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