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Galois Theory
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Galois Theory Paperback / softback - 1998

by Joseph J. Rotman

  • New
  • Paperback

"The exposition is quite efficient, packing much material in a limited number of pages. . . . The greatest asset of this book is its nice selection of topics, focusing on the fundamental theorem of Galois theory and its application to solvability of equations by radicals. . . The style is no-nonsense, crisp . . ".--"The American Mathematical Monthly" (on first edition).

Description

Paperback / softback. New. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions.
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Details

  • Title Galois Theory
  • Author Joseph J. Rotman
  • Binding Paperback / softback
  • Edition International Ed
  • Condition New
  • Pages 176
  • Volumes 1
  • Language ENG
  • Publisher Springer, Secaucus, New Jersey, U.S.A.
  • Date 1998-10-01
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • Bookseller's Inventory # B9780387985411
  • ISBN 9780387985411 / 0387985417
  • Weight 0.57 lbs (0.26 kg)
  • Dimensions 9.22 x 6.14 x 0.45 in (23.42 x 15.60 x 1.14 cm)
  • Library of Congress subjects Galois theory
  • Library of Congress Catalog Number 98003967
  • Dewey Decimal Code 512.3

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From the publisher

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.

First line

Galois theory is the interplay between polynomials, fields, and groups.