Chaos theory and the Mandelbrot set : an honors thesis (HONRS 499)

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dc.contributor.advisor Stankewitz, Richard L. en_US Hartman, Samuel J. en_US 2011-06-06T18:57:41Z 2011-06-06T18:57:41Z 2005 en_US 2005
dc.identifier.other A-317 en_US
dc.description.abstract In this thesis I study two main ideas: Chaos Theory and the Mandelbrot Set. Chaos Theory is a relatively new field of science that is revolutionizing the way we look at predictability and randomness. The Mandelbrot Set is a spectacular image generated by looking at a somewhat universal class of functions. First, I give a brief history of Chaos Theory, looking at three people who helped develop it. Then, for the second part of this thesis, I explore the mathematics behind the Mandelbrot set and explain some interesting properties of it, in particular, the regions corresponding to fixed points, two-, and three-cycles. I conclude by stating two theories about the set that have not been able to be proven mathematically.
dc.description.sponsorship Honors College
dc.format.extent 51 leaves : ill. ; 30 cm. + 1 CD-ROM. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Mathematics. en_US
dc.title Chaos theory and the Mandelbrot set : an honors thesis (HONRS 499) en_US
dc.type Undergraduate senior honors thesis Thesis (B.?.)
dc.identifier.cardcat-url en_US

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  • Undergraduate Honors Theses [5928]
    Honors theses submitted to the Honors College by Ball State University undergraduate students in partial fulfillment of degree requirements.

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