Beachy, John A.
B.S. (Bachelor of Science)
Department of Mathematical Sciences
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.
Buckingham, Eileen, "Fractal geometry : mathematics and applications" (1988). Honors Capstones. 554.
Northern Illinois University
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