By Edwin Weiss
Careful association and transparent, targeted proofs represent this methodical, self-contained exposition of easy result of classical algebraic quantity conception from a comparatively modem perspective. This quantity offers many of the number-theoretic necessities for a research of both category box thought (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 completely with algebraic quantity fields, this therapy positive factors axiomatic formulations with a substantial diversity of purposes. Modem summary strategies represent the first concentration. issues contain introductory fabrics on basic valuation idea, extension of valuations, neighborhood and traditional mathematics fields, and international, quadratic, and cyclotomic fields.
Subjects correspond to these frequently lined in a one-semester, graduate point path in algebraic quantity conception, making this booklet perfect both for school room use or as a stimulating sequence of workouts for mathematically minded individuals.
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Algebraic Number Theory (Dover Books on Mathematics) by Edwin Weiss
Categories: Number Theory