Galois Theory

Name: Galois Theory
Availability: InStock
ISBN: 9780387985411

ISBN-10: 0387985417

ISBN-13: 9780387985411

Edition: 2nd 1998 (Revised)

Authors: Joseph Rotman

List price: $59.99

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Description:

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. This book provides a concise introduction to Galois Theory suitable for first-year graduate students, either as a text for a course or for study outside the classroom.This new edition has been completely…

Book details

List price: $59.99
Edition: 2nd
Copyright year: 1998
Publisher: Springer New York
Publication date: 10/1/1998
Binding: Paperback
Pages: 176
Size: 6.10" wide x 9.25" long x 0.18" tall
Weight: 0.550
Language: English



Preface to the Second Edition


Preface to the First Edition


To the Reader


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, Cubics, and Quartics


Epilogue



Group Theory Dictionary



Group Theory Used in the Text



Ruler-Compass Constructions



Old-fashioned Galois Theory


References


Index