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Papers On Mathematics
Page 9 of 11
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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.wps
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.wps
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 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 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 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
The History of the Pythagorean Theorem
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5 pages. An interesting research paper on the background of the Pythagorean Theorem that is used in algebra and geometry. Details the history of the theorem. This is actually a fascinating history and one that is not often discussed in the classroom. The Pythagorean Theorem was founded by a cult that actually worshipped numbers and felt that everything in the Universe was number-related. A very interesting history for a well-known math theory to say the least! Bibliography lists 2 sources.
Filename: JApythag.rtf
The History of the “Zero”: The Influence of Geography and Culture on the Invention of the Number Zero.
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A 5 page review of the history of the manner in which the number zero came into common mathematical usage. Traces its development to Mesopotamia and through the various other regions of the world. Distinguishes between the mathematical concept and the philosophy of nothingness. Bibliography lists 3 sources.
Filename: PPzero.rtf
