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Debating the Founder of Calculus

Debating the Founder of Calculus. Fluxions. Leibniz versus Newton. Carolyn Carr. Isaac Newton (1643-1727). Founded Fluxions in1666 Newton’s Theory on Calculus Based on Motion Distance traveled in reference to time Fluent of the distance is velocity

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Debating the Founder of Calculus

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  1. Debating the Founder of Calculus Fluxions Leibniz versus Newton Carolyn Carr

  2. Isaac Newton (1643-1727) • Founded Fluxions in1666 • Newton’s Theory on Calculus • Based on Motion • Distance traveled in reference to time • Fluent of the distance is velocity • Fluent of Velocity or Fluxion of distance is acceleration • The dividing the area under the curve • Theories • Newtonian mechanics • Universal gravitation • Calculus • Optics and Color theory

  3. Gottfried Wilhelm Leibnitz (1646-1716) • Theories • Infinitesimal calculus • Monadology • Theodicy • Optimism • Leibniz formula for pi • Leibniz harmonic triangle • Leibniz formula for determinants • Leibniz integral rule • Principle of sufficient reason • Leibniz differential • Diagrammatic reasoning • Notation for differentiation • Proof of Fermat's little theorem • Kinetic energy • Entscheidungsproblem 1              1    1           1    2    1        1    3    3     1    1    4    6     4     11    5    10    10     5    1 • Founded Calculus in 1673 • Leibniz’s Theory on Calculus • Notation • Triangle to find the tangent line • Integral first

  4. De Analysiand Leibniz

  5. Fatio de Duillier versus Liebniz

  6. Newton’s Optics and the Review

  7. The Review, Reviewed

  8. The Royal Society and Their Findings

  9. What they all caused…

  10. Notation Difference

  11. Citations • Works Cited • [1] Ball, W. R. (1908). A Short Account of the History of Mathematics. New York: Dover Publications, INC. • [2] Cohen, B. I., & Smith, G. E. (2002). The Cambridge Companion to Newton. New York: Cambridge University Press. • [3] More, L. T. (1934). Isaac Newton: A Biography. New York: Dover Publications, INC. . • [4] Eves, H. (1983). Great Moments in Mathematics (after 1650). Washington DC: Mathematical Association of America. • [5] Leibniz Fundamental Theorem of Calculus. (n.d.). Retrieved December 7, 2009, from New Mexico State Univserity Math Website: http://www.math.nmsu.edu/~history/book/leibniz.pdf • [6] Boyer, C. B. (1968). A History of Mathematics. New York: John Wiley & Son, INC. • [7] Westfall, R. S. (1980). Never a Rest: A Biography of Isaac Newton. New York: Cambridge University Press. • [8] Cajori, F. (1961). A History of Mathematics. New York: The MacMillan Company. • [9] Christianson, G. E. (1984). In the Presence of the Creator. New York: The Free Press. • [10] Adams, R. M. (1998). Leibniz: Determinist, Theist, Idealist. New York : Oxford University Press (US). • [11] Hall, A. R. & Tilling, L. (1975). The Correspondence of Isaac Newton. New York: The Royal Society of London.

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