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Essay / Research Paper Abstract
A 6 page paper discussing events and conditions leading to Sir Isaac Newton’s development of calculus in the mid-17th century. An expansion of “Sir Isaac Newton” (PGnewton.rtf) that provides background information on Newton’s life and the dispute with Leibniz, this paper focuses on calculus and its significance during and after the time of its invention. Bibliography lists 7 sources.
Page Count:
6 pages (~225 words per page)
File: CC6_KSnewtonCalc.rtf
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Unformatted sample text from the term paper:
PGnewton.rtf. Refer to that paper for background information mentioned but not elaborated on here. Introduction Isaac Newton was only 23 when an
outbreak of plague in 1665 forced his university to close for a time and required Newton to return home for the duration of the quarantine period. "It was during
this time that Newton ... worked out fluxional calculus when he used fluxions to find the tangent and the radius of curvature at any point on a curve (Ball, 1908).
He then applied these to a variety of problems related to the theory of equations (Ball, 1908)" (McCabe, 2004). It appears that Newton
freely shared and discussed his theories with students and colleagues, but a pattern established in the 1660s and continued throughout his life was that he delayed for years publishing his
findings and the support for them, if indeed he ever sought publication at all. This was the case with Newtons calculus; it was not until he published De analysi
per aequationes numero terminorum infinitas in 1704 that he put into print a "systematic and comprehensive discussion of the calculus" (McCabe, 2004), a discussion that would become a founding document
of modern mathematics. The purpose here is to explore Newtons approach to developing calculus. Foundational Work The state of mathematics at the
time that Trinity College at Cambridge was forced to close temporarily was such that there were recognized classic masters such as Pythagoras and Euclid, but there was relatively little contemporary
work. It was this paucity of effective mathematical approaches to solving scientific questions that led Newton to allow himself to seek to improve on what already existed. Newton
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