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College Essays on Mathematics
Mathematics
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137
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An 18 page research paper on every available aspect of differential equations including Laplace Transforms and much more. A number of graphical illustrations are provided and the bibliography lists more than 8 sources.... Read
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A 15 page research paper on various concepts in linear algebra. The writer details multivariables, vectors, determinants, gaussian elimination, and other elements of linear algebra. Bibliography lists 6 sources.... Read
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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.... Read
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A 6 page overview of the mathematical discipline of graph theory. As a field of study, graph theory has nothing at all to do with what most people normally associate with the word 'graph,' and is a specialized field. Applications range from analyzing children's games to finding the furthest stretc... Read
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A 10 page paper that presents the basics of chaos theory, including mathematical information in a historical context (theorists). The paper covers Lorenz, Ruelle and Takens, Benoit Mandelbrot, Einstein, Shaw and the Santa Cruz collaborative, and modern submissions. The paper concludes with a look ... Read
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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 de... Read
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A 10 page paper that provides an overview of the elements of science in the works of Escher, with a focus on symmetry and metaphor based in his mathematical approach. Bibliography lists 8 sources.... Read
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8 pages in length. Cardano was a 16 century Italian mathematician best known for his work entitled "Ars magna" (the "Great Art"), from which many new ideas in algebra were systematically presented. Among them are Cardano's rule and the linear transformations that eliminate the second degree terms ... Read
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A 9 page research paper on the life, works, and mathematical contributions of John Napier (1550-1617) -- the man most commonly associated with the creation of Logarithms. Napier also developed methods for multiplying and dividing small rods known as Napier's Bones, a device that was the forerunner o... Read
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A 15 page account of what is known of the life and scientific and mathematical contributions of Pythagoras. Particular attention is paid to the religious beliefs of his Pythagorean Order and how their beliefs has made it difficult to get a true understanding of Pythagoras' contributions to science ... Read
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A 9 page paper on theories of morality in Greek philosophy focusing upon the works of Pythagoras. Pythagoreanism is seen only as a theory of the universe but also as a way of salvation. Bibliography lists 5 sources.... Read
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A 12 page comprehensive study of early Greek mathematicians and their cultural significance. Included in the discussion are Ptolemy, Pythagoras, Aristotle, Plato, and others. Bibliography lists 9 sources. (also related to Astronomy)... Read
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This 5 page research paper discusses Aristotle's contributions to the field of mathematics. Specifically discussed are Aristotle's views on mathematics, in terms of the advancement of science, and his logical approach to mathematical study through syllogisms. Bibliography lists 7 sources.... Read
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In 5 pages the author discusses Albert Einstein's contributions to the field of science and mathematics while explaining such theories as E=mc2. Bibliography lists 8 sources.... Read
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