Title Field theory / Steven Roman

Published New York : Springer-Verlag, [1995] ©1995

Copies

Location	Call no.	Vol.	Availability
MELB	512.3 Rom.Fth		AVAILABLE

Description xii, 272 pages : illustrations ; 24 cm Series Graduate texts in mathematics ; 158 Graduate texts in mathematics ; 158 Contents Ch. 0. Preliminaries -- Pt. 1. Basic Theory. Ch. 1. Polynomials. Ch. 2. Field Extensions. Ch. 3. Algebraic Independence. Ch. 4. Separability -- Pt. 2. Galois Theory. Ch. 5. Galois Theory I. Ch. 6. Galois Theory II. Ch. 7. A Field Extension as a Vector Space. Ch. 8. Finite Fields I: Basic Properties. Ch. 9. Finite Fields II: Additional Properties -- Pt. 3. The Theory of Binomials. Ch. 10. The Roots of Unity. Ch. 11. Cyclic Extensions. Ch. 12. Solvable Extensions. Ch. 13. Binomials. Ch. 14. Families of Binomials -- Appendix: Mobius Inversion Bibliography Includes bibliographical references (pages [265]-266) and indexes Subject Algebraic fields. Galois theory. Polynomials. Algebraic fields. Galois theory. Polynomials. LC no. 94036400 ISBN 0387944087 New York soft acid-free paper 0387944079 New York hardcover acid-free paper

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