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Field Theory and Polynomials

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Visit this site: http://www.math.niu.edu/~rusin/known-math/index/12-XX.html

Author:Dave Rusin; The Mathematical Atlas
Description: A short article designed to provide an introduction to field theory and polynomials. Field theory looks at sets, such as the real number line, on which all the usual arithmetic properties hold, including, now, those of division. The study of multiple fields through Galois theory is important for the study of polynomial equations, and thus has applications to number theory and group theory. Applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.

Levels: College
Languages: English
Resource Types: Articles
Math Topics: Polynomials, Fields, Group Theory, Algebraic Number Theory

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