The calculus controversy take 3


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The calculus controversy take 3

  1. 1. The Calculus ControversyThe Birth of Calculus: These are the Guys to Blame - Since 1802 Leibniz vs. Newton
  2. 2. The Calculus Controversy - Since 1802Objective: The students will be able to describe the cause andconclusions of the calculus controversy with 85% accuracy.
  3. 3. Sir Isaac NewtonBirth-Death:1642-1727Famous Discoveries: Reflecting Telescope Optics and Gravity Calculus AND MANY OTHER THINGS
  4. 4. Gottfried Wilhelm LeibnizBirth-Death:1646-1716Famous Discoveries: Step Reckoner Leibniz formula for π 1 1 1 1 1 1 ... 4 3 5 7 9 11 Calculus
  5. 5. The Birth: Newton’s CalculusDate: 1665-1666Developed his calculus in his twenties. Used as a means to support his physics.Published in Philosophiae Naturalis PrincipiaMathematica (Prinicipia) in 1687.
  6. 6. The Birth: Leibniz’s CalculusDate: 1675Developed first by the integral then by thedifferential.  is the sum d is for the differencePublished in the Acta Eruditorum in1684.
  7. 7. The Controversy: BeginningThe fuel to the fire: Newton’s lack to publish his work Leibniz’s correspondence with NewtonThe first accusation of plagiarismagainst Leibniz was stated byNicolas Fatio de Duiller.
  8. 8. The Controversy: Building of the StormIn 1704, The Optiks was published. Newton made a statement that Leibniz may have copied his work.Leibniz countered by criticizingNewton’s work. The statement angered nearly all of England.1708, Leibniz was accused of plagiarism byJohn Keill.
  9. 9. The Controversy: Full BlownThe charge was made in 1708. Leibniz’s copy was delayed until 1711.The Royal Society’s intervention In 1711, the Royal Society created a committee to look into the matter. At this time Newton was the president of the Society.
  10. 10. The Controversy: EndingThe Royal Society decision: Newton was the first inventor of the calculus Leibniz was not injured by Keill’s remark. This decision was published as the Commercium Epistolicum in 1712Death of Leibniz in 1716
  11. 11. After the DeathBurialof Leibniz Only one person was present.Newton’s slandered Second edition of Commercium EpistolicumEngland’s rejection England would only teach English mathematics Quiz NO foreign works Time
  12. 12. The committee 11 members 6 mathematician 2 foreigners Only one was a mathematician 7 were friends of Newton
  13. 13. Quiz TimeAt what age did Newton develop his calculus? a. 30s b. 20s c. 40s
  14. 14. Who was the first that stated that Leibniz could have plagiarized? a. Sir Isaac Newton b. Nicolas Fatio de Duiller c. John Keill
  15. 15. What were the findings that the RoyalSociety published about the controversy?
  16. 16. Who is considered the inventor of calculus? a. Isaac Newton b. Gottfried Wilhelm Leibniz c. Both
  17. 17. CreditsVideo: Slide 5: Slide 6: Slide 7: Slide 14:All other images were acquired from free sourcesand wikipedia.