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Papers On Mathematics
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The Ethics of Risk
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A 5 page essay that examines Peter L. Bernstein's history of the number theory of risk, "Against the Gods," from the standpoint of the ethics of risk. The writer argues that the development of this field has led humanity on a path toward more ethical behavior. No additional sources cited.
Filename: 99riskpb.wps

The Evolution of Algebra
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5 pages in length. In this paper the history of Algebra is presented and the role that it plays in mathematics today. There is also discussion on some of the mathematicians who played a key role in the advancement of Algebra as well as examples of applications in which Algebra is used. Bibliography lists 5 sources.
Filename: JGAalgbr.doc

The Fibonacci Sequence and the Golden Mean in Art
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A 6 page paper discussing the history and development of the Fibonacci sequence; the development of associated ratios; and their applicability to visual images. Fibonacci published his sequence in 1202, and da Vinci used the concept of "thirds" in much of his work as did some other artists of the period. The paper provides the mathematical basis as well as illustration. da Vinci's "The Annunciation" is used for example purposes. Bibliography lists 5 sources.
Filename: KSfibonacci.wps

The Future of Graph Theory in the Realm of Computer Science
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This 3 page paper defines and explores graph theory in mathematics. How it applies to computer science, and where it can take it in the future, is the focus of this paper. Bibliography lists 4 sources.
Filename: SA311grp.rtf


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