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.
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