Fractals and chaos
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Authors
Beaver, Philip Frederick
Subjects
Fractal geometry and chaotic dynamical systems
Advisors
Weir, Maurice D.
Fischer, Ismor
Date of Issue
1991-06
Date
Publisher
Monterey, CA; Naval Postgraduate School
Language
Abstract
The study of fractal geometry and chaotic dynamical systems has received considerable attention in the past decade. Motivated by the interesting computer graphics produced by these fields, mathematicians have attempted to formalize the theoretical structure of the results, physicists have attempted to apply the theory to the real world phenomena, and laymen have enjoyed much of the popular literature and television programs that the field has fostered. Unfortunately, the mathematics associated with these subjects has made them inaccessible to most undergraduates, even if they have a strong back ground in mathematics. This thesis presents the basic ideas of fractal geometry and chaotic dynamical systems in a setting that can by understood by undergraduate students who have has a course in advanced calculus. We hope it will allow them to gain an appreciation of the fields and motivate them to pursue further study.
Type
Thesis
Description
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Format
172 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.