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 creation to classical issues in greater algebra presents rigorous, specific proofs for its explorations of a few of arithmetic' most vital recommendations, together with matrices, invariants, and teams.
Algebraic Theories stories the entire vital theories; its vast choices variety from the rules of upper algebra and the Galois conception of algebraic equations to finite linear teams (including Klein's "icosahedron" and the idea of equations of the 5th measure) and algebraic invariants. the complete therapy contains matrices, linear alterations, ordinary divisors and invariant components, and quadratic, bilinear, and Hermitian varieties, either singly and in pairs. the implications are classical, with due recognition to problems with rationality. user-friendly divisors and invariant components obtain easy, average introductions in reference to the classical shape and a rational, canonical type of linear differences. All issues are constructed with a extraordinary lucidity and mentioned in shut reference to their so much common mathematical functions.

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Algebraic Theories (Dover Books on Mathematics) by Leonard Dickson

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