Leibniz versus Newton Fluxions Carolyn Carr

 Theories  Newtonian mechanics  Universal gravitation  Calculus  Optics and Color theory 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  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 Founded Calculus in 1673 Leibniz’s Theory on Calculus Notation Triangle to find the tangent line Integral first

Newton writes De Analysi in 1666 Barrow obtained a copy Sent De Analysi to Collins Collins shows Oldenburg ->Oldenburg shows Leibniz Leibniz reads the information… Leibniz writes his Theory (1684), “A new method for Maxima and Minima as well as tangents, which is not restricted by fractional or irrational quantities

Duillier publishes “A Two-Fold Geometrical Investigation of the Line of Breifest Descent” An attack on Leibniz Newton first inventor. Was Leibniz an inventor at all? Leibniz Retaliates: Publishes in Acta Anonymous, States that Leibniz invented his theory after Newton

Leibniz’s Review of Optics: in Acta Eruditorum Implies plagiarism, but not directly Leibniz did not use his name Newton’s Optics Published due to controversy Included history of he invention of Fluxions

Newton reads Review on Optics Newton believes he has more grounds to complain Royal Society investigates again Leibniz Appeals to the Royal Society 1699 Requests an apology President: Sloane, was going to write Leibniz. John Keill Responds to Leibniz’s Review on Optics Questioning if Leibniz gets the credit of the inventing Calculus Did Newton have a hand in this?

Special Committee Constructed to Solve the Issue Commercium Epistolicum Findings: Newton was the only founder of Calculus, Leibniz stole this idea and changed the name and symbols. Royal Society Reviews the Situation Keill writes a letter to Leibniz based on the permission of the Royal Society Leibniz responds: unscientific, and bias

Brittan suffers from not being included in the other mathematical advances. England and the rest of Europe had different notation system National Pride England and continently Europe close ideas to each other

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