Electronic Proceedings of the Seventeenth Annual International Conference on Technology in Collegiate Mathematics

New Orleans, Louisiana, October 28-31, 2004

Paper C033

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Seventeenth Annual International Conference on Technology in Collegiate Mathematics, Edited by Joanne Foster, ISBN 0-321-43792-6, Copyright (C) 2006 by Pearson Education, Inc.


The Insolvability of The Quintic and Its Implication to Technology

Josefino Villanueva


Florida Memorial College
Miami, FL 33054


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ABSTRACT

The proof of the insolvability of the general quintic equation is summarized, as given by group theory. Since no classical radical solution exists, we outline numerical solutions, like Newton's method, and direct graphing, and mention hypergeometric functions, and Hermite's method using elliptic modular functions.

Keyword(s): abstract algebra