From Combinatorics to Resolvents

  1. Roger Cooke

Published Online: 26 SEP 2007

DOI: 10.1002/9780470277980.ch8

Classical Algebra: Its Nature, Origins, and Uses

Classical Algebra: Its Nature, Origins, and Uses

How to Cite

Cooke, R. (2007) From Combinatorics to Resolvents, in Classical Algebra: Its Nature, Origins, and Uses, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470277980.ch8

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:

  • quintic equations;
  • Cardano solutions;
  • cubic equations;
  • complex numbers;
  • elliptic integrals

Summary

This chapter contains sections titled:

  • Solution of the irreducible case using complex numbers

  • The quartic equation

  • Viéte's solution of the irreducible case of the cubic

  • The Tschirnhaus solution of the cubic equation

  • Lagrange's reflections on the cubic equation

  • Problems and questions

  • Further reading