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Johannes Kepler
Kepler used infinitesimals to calculate volumes of revolution. -
Bonaventura Cavalieri
Cavalieri calculates volume using infinitely small sections. -
John Wallis
Wallis studies infinite series -
Blaise Pascal
While working on the sine function, Pascal almost discovers calculus. -
Isaac Newton
Newton invents the first form of calculus. -
Areas under curves
Newton publishes his method for finding areas under curves. -
Isaac Barrow
Barrow drew tangents to curves, found lengths of curves, and calculated areas between curves. -
Gottfried Leibniz
Leibniz introduces the modern notation for integrals & derivatives and determined the product rule for differentiation. -
Leibniz vs. Newton
Newton and Leibniz work simultaneously on their own forms of calculus. Leibniz discovers differentiation rule for roots. -
quotient rule
Leibniz discovers the quotient rule for differentiation. -
tangents
Leibniz publishes methods for finding maxima, minima, and tangents. -
Integral Calculus
Leibniz publishes his method of integral calculus. -
Michel Rolle
Rolle publishes Rolle's theorem, but without proof. -
Fluxions
John Wallis publishes Newton's method of fluxions. -
L'Hopital
Jean Bernoulli discovers L'Hopital's Rule.
L'Hopital paid Bernoulli to name the theorem after him. -
Brook Taylor
Taylor develops the calculus of finite differences.
