The algebraic theory of fields: including Galois theory and the classicial problems of solubility of polynomials....
This page was last updated on November 18th, 2008
This page was last updated on November 18th, 2008
Field Theory (from Algebra)
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Galois Theory
Lecture notes and glossary, by Gavin Wraith.
Field Theory and Polynomials
Section 12 of the Mathematical Atlas by Dave Rusin.
Field Theory -- from MathWorld
Directory of articles on Field Theory.
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.")
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).
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.
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.
Math Forum - Fields
A catalogue of Web sites and Web pages relating to Fields.
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 availabl
Field Arithmetic Archive
This archive stores electronic preprints on the arithmetic of fields, Galois theory, model theory of fields, and related topics.
Lecture notes and glossary, by Gavin Wraith.
Section 12 of the Mathematical Atlas by Dave Rusin.
Directory of articles on Field Theory.
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.")
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).
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.
A forum for all mathematicians who work in or use valuation theory. Directory of people, meetings, preprints, bibliography, open problems and news.
A catalogue of Web sites and Web pages relating to Fields.
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 availabl
This archive stores electronic preprints on the arithmetic of fields, Galois theory, model theory of fields, and related topics.
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