**Unformatted text preview: **Historical Background Historical The true mathematician who found the Fundamental Theorem of Calculus is disputed. Fundamental While some believe Isaac Newton and Gottfried While Leibniz each worked independently on the Leibniz development of calculus concepts, others development suspected plagiarism from one or the other even suspected though the two mathematicians utilized different though notations. Because Leibniz published his works notations. earlier than Newton, some credited Leibniz as earlier the original creator. However, people stated that the Newton had the concepts in mind ever since Newton 1666, but simply did not publish them until 1693. 1666, The Fundamental Theorem of Calculus was initiated through Newton’s teacher, Isaac initiated Barrow, who found that differentiation and Barrow, integration are inverse processes. In fact, integration Barrow got close to finding the Fundamental Barrow Theorem of Calculus but did not succeed. Under Theorem Isaac Barrow (1630-1677), Isaac Newton Isaac studied math at Trinity College in Cambridge studied and he followed Barrow’s footsteps, thus and continuing in the same direction and defining the continuing Fundamental Theorem in his 1666 tract. Although the creator of the theorem is highly Although controversial, both Newton and Leibniz precisely controversial, defined and exploited the inverse relationship defined between differentiation and integration, using it between to develop calculus in a systematic to mathematical method. In this way, they mathematical developed the Fundamental Theorem of developed Calculus, which allowed them to compare areas Calculus, and integrals without doing them as the limits of and sums. ...

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