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Contents
Post Newton-Leibniz
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Post Newton-Leibniz
Guillaume Francois l'Hospital wrote a famous text on calculus, Analysis of Infinitely Small Quantities for Understanding of Curves. In it, he mentions infinitesimals, differential triangle, as well as the logarithmic curve; though he worked mainly on algebraic curves. He also developed a more general version of solving maxima-minima problems. His most well-known work is what is now known as L'Hospital's Rule--to calculate the limits of quotients when the limits of the numerator and denominator are zero. Humphry Ditton and Charles Hayes worked of the differential and integral calculus of exponential and logarithmic functions. Jean d'Alembert was the first to suggest that the theory of limits is the fundamental of calculus. He expressed the derivative as a limit of a quotient of increments, or, in modern notation,
The differentiation of trigonometric functions was not explored until much later by Leonhard Euler. He also derived the power series for the sine and cosine functions. He did much study of differential and integral calculus. There were also many other developments in calculus, particularly in differential equations.
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