Home

An Undergraduate Research Project in Fractal/Chaos using Mathematica

Dipendra C. Sengupta,Ph.D.
dsengpta@ga.unc.edu

Dr. Linda Hayden
lhayden@ga.unc.edu/tt>

Department of Mathematics/Computer Science
Elizabeth City State University
Elizabeth City, NC 27909, USA

Abstract

Most naturally occuring processes are inherently non-linear and give rise to very complex behaviors. Even very simple mathematical models can exhibit behavior that give rise to extremely convoluted (and often very beautiful) fractal shapes. The discovery of this fundamentally new area of mathematics has been crucially dependent on computational intensive graphics methods and has given birth to a radically new paradigm for mathematical research: experimental research. In this paper we will explain how a group of students performed experimental mathematical investigation using technology. The mathematical contents comprised of fractals, non-linear dynamics and mathematical chaos.
Full paper in PostScript | PDF


Go Back
 
Copyright & Disclaimers

© 2005 ATCM, Inc. © 2005 Any2Any Technologies, Ltd.