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

By Leonard Dickson

ISBN-10: 0486495736

ISBN-13: 9780486495736

This in-depth creation to classical themes in better algebra offers rigorous, designated proofs for its explorations of a few of arithmetic' most important ideas, together with matrices, invariants, and teams.
Algebraic Theories reports all the very important theories; its large choices variety from the rules of upper algebra and the Galois idea of algebraic equations to finite linear teams (including Klein's "icosahedron" and the speculation of equations of the 5th measure) and algebraic invariants. the total remedy contains matrices, linear variations, common divisors and invariant components, and quadratic, bilinear, and Hermitian types, either singly and in pairs. the implications are classical, with due consciousness to problems with rationality. undemanding divisors and invariant components obtain uncomplicated, usual introductions in reference to the classical shape and a rational, canonical type of linear adjustments. All subject matters are constructed with a outstanding lucidity and mentioned in shut reference to their so much common mathematical purposes.

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Algebraic Theories (Dover Books on Mathematics) by Leonard Dickson

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