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Papers On Mathematics
Page 20 of 23
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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
The History of Quadratic Equations
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This 6 page paper takes a look at the quadratic formula through history. How the roots of it emerged in 2000 BC is traced to its current usage. Bibliography lists 4 sources.
Filename: SA744Q.rtf
The History of Real Analysis
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This 5 page paper delves into the concept of real analysis and looks at key people integral to the emergence of this mathematical field of study. Several mathematicians are named including Archimedes and Cauchy. Bibliography lists 4 sources.
Filename: SA228ra.rtf
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