3. Fundamental Theorem on Symmetric Polynomials and Discriminants

  1. Stephen C. Newman

Published Online: 23 MAY 2012

DOI: 10.1002/9781118336816.ch3

A Classical Introduction to Galois Theory

A Classical Introduction to Galois Theory

How to Cite

Newman, S. C. (2012) Fundamental Theorem on Symmetric Polynomials and Discriminants, in A Classical Introduction to Galois Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118336816.ch3

Author Information

  1. University of Alberta, Edmonton, Alberta, Canada

Publication History

  1. Published Online: 23 MAY 2012
  2. Published Print: 13 JUL 2012

ISBN Information

Print ISBN: 9781118091395

Online ISBN: 9781118336816

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Keywords:

  • FTSP, and algebraic properties of roots of polynomials;
  • fundamental theorem on symmetric rational functions;
  • elementary symmetric polynomials and identities;
  • discriminants, and subfields of real numbers

Summary

This chapter contains sections titled:

  • Fundamental Theorem on Symmetric Polynomials

  • Fundamental Theorem on Symmetric Rational Functions

  • Some Identities Based on Elementary Symmetric Polynomials

  • Discriminants

  • Discriminants and Subfields of the Real Numbers