WEFOUNDCalculus and Its Applications (Graphing Calculator Manual) 8TH EDITION


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Calculus , known in its early history as infinitesimal calculus , is a mathematical discipline focused on limits , functions , derivatives , integrals , and infinite series . Isaac Newton and Gottfried Leibniz independently discovered calculus in the mid-17th century. However, each inventor claimed the other stole his work in a bitter dispute that continued until the end of their lives.

The mathematical study of continuity was revived in the 14th century by the Oxford Calculators and French collaborators such as Nicole Oresme . They proved the "Merton mean speed theorem ": that a uniformly accelerated body travels the same distance as a body with uniform speed whose speed is half the final velocity of the accelerated body. [12]

In the 17th century, European mathematicians Isaac Barrow , René Descartes , Pierre de Fermat , Blaise Pascal , John Wallis and others discussed the idea of a derivative . In particular, in Methodus ad disquirendam maximam et minima and in De tangentibus linearum curvarum , Fermat developed an adequality method for determining maxima, minima, and tangents to various curves that was closely related to differentiation. [13] Isaac Newton would later write that his own early ideas about calculus came directly from "Fermat's way of drawing tangents." [14]


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