Directory of Field Theory Resources

Home > Science > Math > Algebra > Field Theory

The algebraic theory of fields: including Galois theory and the classicial problems of solubility of polynomials.

Resources in This Category

• Field Theory -- from MathWorld

  http://mathworld.wolfram.com/topics/FieldTheory.html
  Directory of articles on Field Theory.

• Galois Field Package

  http://infoshako.sk.tsukuba.ac.jp/jcca/GaloisField/
  Allows the use of many Mathematica functions over finite fields without any modification; e.g solving linear equations, inverses, determinants, derivations, resultants. By Ryoh Fuji-Hara, University of Tsukuba. Package and documentation are available for download.

• Galois Theory

  http://www.wra1th.plus.com/Galois/
  Lecture notes and glossary, by Gavin Wraith.

• Math Forum - Fields

  http://mathforum.org/library/topics/fields/
  A catalogue of Web sites and Web pages relating to Fields.

• Solving the Quintic by Iteration

  http://math.dartmouth.edu/~doyle/docs/icos/icos/icos.html
  Peter Doyle and Curt McMullen. Web text chatracterising equations that can be solved using iterated rational maps: the Galois group must be within A5 of soluble.

• Solving the Quintic with Mathematica

  http://library.wolfram.com/examples/quintic/
  Methods to solve algebraically several quintic equations. Though quintics cannot generally be solved in terms of finite sums of radicals, they can be solved as infinite series, for example. (Designed as an "on-line poster.")

• The Solution to the Quartic Equation

  http://members.tripod.com/l_ferrari/quartic_equation.htm
  This site has the general algebraic solution to the quartic equation. It also has an example on how to solve the equation that Lodovico Ferrari solved (Ferrari discovered the solution).

• The Valuation Theory Home Page

  http://math.usask.ca/fvk/Valth.html
  A forum for all mathematicians who work in or use valuation theory. Directory of people, meetings, preprints, bibliography, open problems and news.

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