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Papers On Mathematics
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The Derivative In Average & Instantaneous Velocity
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A 5 page paper explaining both average and instantaneous velocities. The writer demonstrates the relationship between the derivative and these primary functions. Bibliography lists 4 sources.
Filename: Velocity.doc

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

The Game Of Blackjack / Card Counting & Other Strategies
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This 5 page paper provides an overview of the game of Blackjack. A brief history and explanation of the game is included but the focus is on methods used to increase the odds of winning the game. Card counting, perecentages, & commonsense ratios are discussed and other strategies are explained in detail. Bibliography lists 5 sources.
Filename: Blakjack.wps

The Geometry of a Ship's Masts
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This 5 page paper provides an overview of the geometry of a ship's mast. Bibliography lists 2 sources.
Filename: MHGeoSh1.rtf

The History of Algebra
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This 3 page paper is a brief overview of the history of algebra. Bibliography lists 3 sources.
Filename: HValgbra.rtf

The History of Calculus
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This 6 page shows how calculus was derived from the studies in real analysis and lead to the development of calculus. The paper begins with the discoveries of Ancient Greece with thinkers such as Zeno of Elea and Archimedes and looks at many mathematicians such as Valerio, Cavalieri and Fermat finishing with Newton and Leibniz. The bibliography cites 3 sources.
Filename: TEcalhis.rtf

The History of Mathematics
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This 6 page paper examines three books on the history of math. Some quotes are included. Bibliography lists 3 sources.
Filename: SA712mth.rtf

The History of Numbers
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This 14 page report discusses the ways in which humanity has developed numerical systems corresponds to the ways that the human species also developed. As human thinking grew in complexity, so did the application of numbers and the understanding of numbers. And yet, little thought is given to why human beings came up with the idea of numbers or how it is possible to count. . Modern historians and social scientists have traced the processes associated in the history and development of numbers from Europe to China, via the Classical World, Mesopotamia, South America and, even more than any where else on Earth, India and Arab lands. Bibliography lists 3 sources.
Filename: BWhisnum.wps


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