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Newton

  • Newton compiled a book in 1671.
  • In the book he shaped and defined his fluxional calculus.
  • In the book he also exploited instantaneous motion and infinitesimals informally.
  • He used this math to help explain the physical world.
  • The base of his revised calculus became continuity.
  • Tried to avoid the use of infinitesimal by forming calculations based on rates of change
  • Defined the rate of generated change as a fluxion.
  • In a 1676 text he defined the present day derivative as the ultimate ration of change.
  • This was defined as a ratio between increments, purely at the moment in question.

Newton

  • Many of Newton's insights from 1665-1666
  • He determined the area under the curve by determining the momentary rate of change, then extrapolating the total area.
  • These calculations lead to the building of the fundamental theorem of calculus.
  • Newton never had a definitive publication on Fluxional Calculus.
  • Started mathematical training at Cambridge where he quickly learned the current theorems.
  • His first contribution was to the binomial theorem, extending it to include fractional and negative exponents.

The Real Role of Newton in the Development of Calculus

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