Existence and Constructibility of Roots

  1. Roger Cooke

Published Online: 26 SEP 2007

DOI: 10.1002/9780470277980.ch10

Classical Algebra: Its Nature, Origins, and Uses

Classical Algebra: Its Nature, Origins, and Uses

How to Cite

Cooke, R. (2007) Existence and Constructibility of Roots, in Classical Algebra: Its Nature, Origins, and Uses, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470277980.ch10

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:

  • constructibility of roots;
  • Niels Henrik Abel;
  • Paolo Ruffini;
  • polynomials;
  • quartic formula

Summary

This chapter contains sections titled:

  • Proof that the complex numbers are algebraically closed

  • Solution by radicals: General considerations

  • Abel's proof

  • Problems and questions

  • Further reading