Galois Theory

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Universitext

ISBN: 0387985417
ISBN 13: 9780387985411
Autor: Rotman, Joseph
Verlag: Springer Verlag GmbH
Umfang: xiv, 176 S., 9 s/w Illustr., 9 s/w Zeichng.
Erscheinungsdatum: 01.10.1998
Auflage: 2/2001
Format: 0.9 x 23.5 x 15.5
Gewicht: 277 g
Produktform: Kartoniert
Einband: KT

Second edition

Offers an exposition of Galois Theory with proofs and exercises. This work includes topics such as: cubic and quartic formulas; Fundamental Theory of Galois Theory; insolvability of the quintic; Galois’s Great Theorem; and computation of Galois groups of cubics and quartics.

Artikelnummer: 1922537 Kategorie:

Beschreibung

InhaltsangabeSymmetry. Rings. Domains and Fields. Homomorphisms and Ideals. Quotient Rings. Polynomial Rings over Fields. Prime Ideals and Maximal Ideals. Irreducible Polynomials. Classical Formulas. Splitting Fields. The Galois Group. Roots of Unity. Solvability by Radicals. Independence of Characters. Galois Extensions. The Fundamental Theorem of Galois Theory. Applications. Galois's Great Theorem. Discriminants. Galois Groups of Quadratics, Dubics, and Quartics. Epilogue. Appendices.

Inhaltsverzeichnis

Symmetry. Rings. Domains and Fields. Homomorphisms and Ideals. Quotient Rings. Polynomial Rings over Fields. Prime Ideals and Maximal Ideals. Irreducible Polynomials. Classical Formulas. Splitting Fields. The Galois Group. Roots of Unity. Solvability by Radicals. Independence of Characters. Galois Extensions. The Fundamental Theorem of Galois Theory. Applications. Galois''s Great Theorem. Discriminants. Galois Groups of Quadratics, Dubics, and Quartics. Epilogue. Appendices.

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