Accession Number : ADP006607

Title :   Beyond Rolle's Theorem,

Corporate Author : ARMY RESEARCH OFFICE RESEARCH TRIANGLE PARK NC

Personal Author(s) : Anderson, Bruce

Report Date : MAR 1992

Pagination or Media Count : 8

Abstract : The concept and existence of higher-order Rolle's theorems are introduced, and a summary of results for polynomials of degree up to 5 follows. The general topic at hand is what kinds of restrictions there are on the placement of roots of various derivatives. The surprising result is that Rolle's theorem is not the only such restriction.

Descriptors :   *POLYNOMIALS, *THEOREMS, DERIVATIVES(MATHEMATICS).

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE