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This text offers a clear, efficient exposition of Galois Theory with complete proofs and exercises. Topics include: cubic and quartic formulas; Fundamental Theory of Galois Theory; insolvability of the quintic; Galois's Great Theorem (solvability by radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois groups of cubics and quartics. There are appendices on group theory, ruler-compass constructions, and the early history of Galois Theory.
Autor: Rotman, Joseph
ISBN: 9780387985411
Auflage: 2
Sprache: Englisch
Seitenzahl: 176
Produktart: Kartoniert / Broschiert
Verlag: Springer US
Veröffentlicht: 01.10.1998
Schlagworte: Galois group Galois theory Group theory Symmetry group field homomorphism