The calculus controversy take 3Presentation Transcript
The Calculus ControversyThe Birth of Calculus: These are the Guys to Blame - Since 1802 Leibniz vs. Newton
The Calculus Controversy - Since 1802Objective: The students will be able to describe the cause andconclusions of the calculus controversy with 85% accuracy.
Sir Isaac NewtonBirth-Death:1642-1727Famous Discoveries: Reflecting Telescope Optics and Gravity Calculus AND MANY OTHER THINGS
Gottfried Wilhelm LeibnizBirth-Death:1646-1716Famous Discoveries: Step Reckoner Leibniz formula for π 1 1 1 1 1 1 ... 4 3 5 7 9 11 Calculus
The Birth: Newton’s CalculusDate: 1665-1666Developed his calculus in his twenties. Used as a means to support his physics.Published in Philosophiae Naturalis PrincipiaMathematica (Prinicipia) in 1687.
The Birth: Leibniz’s CalculusDate: 1675Developed first by the integral then by thedifferential. is the sum d is for the differencePublished in the Acta Eruditorum in1684.
The Controversy: BeginningThe fuel to the fire: Newton’s lack to publish his work Leibniz’s correspondence with NewtonThe first accusation of plagiarismagainst Leibniz was stated byNicolas Fatio de Duiller.
The Controversy: Building of the StormIn 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.
The Controversy: Full BlownThe 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.
The Controversy: EndingThe 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 1712Death of Leibniz in 1716
After the DeathBurialof Leibniz Only one person was present.Newton’s slandered Second edition of Commercium EpistolicumEngland’s rejection England would only teach English mathematics Quiz NO foreign works Time
The committee 11 members 6 mathematician 2 foreigners Only one was a mathematician 7 were friends of Newton
Quiz TimeAt what age did Newton develop his calculus? a. 30s b. 20s c. 40s
Who was the first that stated that Leibniz could have plagiarized? a. Sir Isaac Newton b. Nicolas Fatio de Duiller c. John Keill
What were the findings that the RoyalSociety published about the controversy?
Who is considered the inventor of calculus? a. Isaac Newton b. Gottfried Wilhelm Leibniz c. Both
CreditsVideo: http://www.youtube.com/watch?v=axZTv5YJssAImages: Slide 5: Slide 6: Slide 7: Slide 14:All other images were acquired from free sourcesand wikipedia.