Publication Date

1-1-1988

Document Type

Dissertation/Thesis

First Advisor

Beachy, John A.

Degree Name

B.S. (Bachelor of Science)

Legacy Department

Department of Mathematical Sciences

Abstract

The first section, entitled “Introduction and Applications,” is self-descriptive. The paper begins by introducing and defining the new terms “fractals” and “fractal geometry.” At the same time, Benoit B. Mandelbrot is accredited for having developed this new field. The introduction is followed by simple examples. This section is completed with a number of practical applications involving a variety of sciences. Section 2 consists of the background mathematics necessary to understand the Mandelbrot set and the computer program illustrating it. To fully understand the section, some prior knowledge of complex analysis is necessary. Sections 3 and 4 are the program description and documentation, respectively. These sections are included to give any reader with some computer programming experience a complete understanding of the program. The paper is completed with the output from the program. This consists of computer-generated pictures of the Mandelbrot set and portions of the Mandelbrot set.

Comments

Includes bibliographical references.

Extent

34 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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