Download e-book for iPad: Algebraic Theories (Dover Books on Mathematics) by Leonard Dickson

By Leonard Dickson

ISBN-10: 0486495736

ISBN-13: 9780486495736

This in-depth advent to classical subject matters in better algebra offers rigorous, designated proofs for its explorations of a few of arithmetic' most vital innovations, together with matrices, invariants, and teams.
Algebraic Theories reviews the entire very important theories; its large choices diversity from the principles of upper algebra and the Galois concept of algebraic equations to finite linear teams (including Klein's "icosahedron" and the idea of equations of the 5th measure) and algebraic invariants. the entire remedy contains matrices, linear modifications, effortless divisors and invariant components, and quadratic, bilinear, and Hermitian kinds, either singly and in pairs. the consequences are classical, with due awareness to problems with rationality. hassle-free divisors and invariant components obtain basic, common introductions in reference to the classical shape and a rational, canonical type of linear variations. All issues are constructed with a outstanding lucidity and mentioned in shut reference to their such a lot common mathematical functions.

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Algebraic Theories (Dover Books on Mathematics) by Leonard Dickson

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