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Berkeley’s criticisms were well founded and important in that they focused the attention of mathematicians on a logical clarification of the calculus. It was to be over 100 years, however, before Calculus was to be made rigorous. Ultimately, Cauchy, Weierstrass, and Riemann reformulated Calculus in terms of limits rather than infinitesimals.
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Calculus Questions with Answers (1). The uses of the first and second derivative to determine the intervals of increase and decrease of a function, the maximum and minimum points, the interval(s) of concavity and points of inflections are discussed. Calculus Questions with Answers (2).
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A definition found of calculus in a dictionary was this; a method of computation or calculation in a special notation (as of logic or symbolic logic). The historical perspective of calculus is that people had a problem in finding areas and finding tangent lines.
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The history of calculus falls into several distinct time periods, most notably the ancient, medieval, and modern periods. The ancient period introduced some of the ideas of integral calculus, but does not seem to have developed these ideas in a rigorous or systematic way.
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