|By Shana Lieberman
From the Author: I wrote this paper for Dr. Lewand’s “History of Mathematics” course. The assignment was to write a paper that was neither completely about mathematics nor completely about history but instead adequately contained elements of both topics. My initial choice of topic was somewhat vague and merely isolated Calculus as a branch of mathematics on which I wanted to conduct a historical exploration. While scanning available resources, I quickly noticed that most authors tended to credit Newton and Leibniz with simultaneously, yet separately “inventing” Calculus, give a bit of information about their dispute, and then leave the subject at that. It was for this reason that I chose to conduct more of a survey of the development of the major ideas and definitions related to Calculus, rather than focusing purely on the subject as the “invention” of two men. With this in mind, I researched the contributions made by several mathematicians, both before and after Newton and Leibniz made their efforts, to the concepts of limit, continuity, derivative, and integral. The result is my paper, neither purely historical nor purely mathematical, “Developing the Calculus.”
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