The Search for Resolvents

  1. Roger Cooke

Published Online: 26 SEP 2007

DOI: 10.1002/9780470277980.ch9

Classical Algebra: Its Nature, Origins, and Uses

Classical Algebra: Its Nature, Origins, and Uses

How to Cite

Cooke, R. (2008) The Search for Resolvents, in Classical Algebra: Its Nature, Origins, and Uses, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470277980.ch9

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:

  • polynomial equations;
  • resolvents;
  • coefficients;
  • Tschirnhaus;
  • quartic equations

Summary

This chapter contains sections titled:

  • Coefficients and roots

  • A unified approach to equations of all degrees

  • A resolvent for the general quartic equation

  • The state of polynomial algebra in 1770

  • Permutations enter algebra

  • Permutations of the variables in a function

  • Problems and questions

  • Further reading