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