By Edwin Weiss
Careful association and transparent, distinctive proofs signify this methodical, self-contained exposition of easy result of classical algebraic quantity conception from a comparatively modem viewpoint. This quantity provides lots of the number-theoretic necessities for a research of both category box conception (as formulated by way of Artin and Tate) or the modern remedy of analytical questions (as came across, for instance, in Tate's thesis).
Although involved solely with algebraic quantity fields, this remedy gains axiomatic formulations with a substantial diversity of purposes. Modem summary recommendations represent the first concentration. subject matters comprise introductory fabrics on straight forward valuation concept, 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 idea, making this e-book perfect 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