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Field Arithmetic Archive

This archive stores electronic preprints on the arithmetic of fields, Galois theory, model theory of fields, and related topics.
(http://www.cs.bgu.ac.il/research/Fields/)

Field Theory -- from MathWorld

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

Field Theory and Polynomials

Section 12 of the Mathematical Atlas by Dave Rusin.
(http://www.math.niu.edu/~rusin/known-math/index/12-XX.html)

Galois Field Package

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.
(http://infoshako.sk.tsukuba.ac.jp/jcca/GaloisField/)

Galois Theory

Lecture notes and glossary by Gavin Wraith.
(http://www.sussex.ac.uk/Users/gavinw/Courses/GaloisTheory/)

Math Forum - Fields

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

Solving the Quintic by Iteration

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.
(http://math.dartmouth.edu/~doyle/docs/icos/icos/icos.html)

Solving the Quintic with Mathematica

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.")
(http://www.wolfram.com/posters/quintic/)

The Solution to the Quartic Equation

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).
(http://members.tripod.com/l_ferrari/quartic_equation.htm)

The Valuation Theory Home Page

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

Two Gauss Sums on Galois Fields

Results, examples and a conjecture by Stephen Wynn.
(http://www.galoisfields.com/)

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