The Symmetry of Equations: Galois Theory and Tschirnhausen Transformations

Part of the Modern Birkhäuser Classics book series (MBC)

The previous chapter uses group theory to study spatial and permutational symmetry. This chapter extends the application of group theory to the symmetry inherent in algebraic equations, which is closely linked to the methods required for their solution. The group-theoretical aspects of algebraic equations were first introduced by Evariste Galois (1811-1832) so that this area of mathematics is frequently called Galois theory. An excellent discussion of Galois theory is given in a book by Stewart.


Integral Domain Galois Group Field Extension Minimum Polynomial Galois Theory 
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Copyright information

© Birkhäuser Boston 2009

Authors and Affiliations

  1. 1.Department of ChemistryUniversity of GeorgiaAthensUSA

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