| Directory > Science > Math > Algebra > Field Theory Two Gauss Sums on Galois Fields
Results, examples and a conjecture by Stephen Wynn.
http://www.galoisfields.com/
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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/
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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
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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/
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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
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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
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Math Forum - Fields
A catalogue of Web sites and Web pages relating to Fields.
http://mathforum.org/library/topics/fields/
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Galois Theory
Lecture notes and glossary by Gavin Wraith.
http://www.sussex.ac.uk/Users/gavinw/Courses/GaloisTheory/
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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
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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/
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Field Theory -- from MathWorld
Directory of articles on Field Theory.
http://mathworld.wolfram.com/topics/FieldTheory.html
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