Download Algebraic Number Theory (Dover Books on Mathematics) by Edwin Weiss PDF

By Edwin Weiss

Careful association and transparent, particular proofs represent this methodical, self-contained exposition of easy result of classical algebraic quantity thought from a comparatively modem perspective. This quantity provides lots of the number-theoretic must haves for a research of both classification box thought (as formulated through 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 therapy good points axiomatic formulations with a substantial variety of functions. Modem summary ideas represent the first concentration. subject matters comprise introductory fabrics on undemanding valuation conception, extension of valuations, neighborhood and traditional mathematics fields, and international, quadratic, and cyclotomic fields.
Subjects correspond to these often coated in a one-semester, graduate point path in algebraic quantity concept, making this ebook excellent both for school room use or as a stimulating sequence of routines for mathematically minded individuals.

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