The Breakthrough: Galois Theory

  1. Roger Cooke

Published Online: 26 SEP 2007

DOI: 10.1002/9780470277980.ch11

Classical Algebra: Its Nature, Origins, and Uses

Classical Algebra: Its Nature, Origins, and Uses

How to Cite

Cooke, R. (2007) The Breakthrough: Galois Theory, in Classical Algebra: Its Nature, Origins, and Uses, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470277980.ch11

Author Information

  1. Williams Professor of Mathematics Emeritus, The University of Vermont, Department of Mathematics, Burlington, VT

Publication History

  1. Published Online: 26 SEP 2007
  2. Published Print: 20 FEB 2008

ISBN Information

Print ISBN: 9780470259528

Online ISBN: 9780470277980

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Keywords:

  • Galois theory;
  • algebraic numbers;
  • cubic equations;
  • polynomial;
  • rational numbers

Summary

This chapter contains sections titled:

  • An example of a solving an equation by radicals

  • Field automorphisms and permutations of roots

  • A sketch of Galois theory

  • Solution by radicals

  • Some simple examples of practice

  • The story of polynomial algebra: a recap

  • Problems and questions

  • Further reading