ps1solutions

ps1solutions - (b) If we assume that the solution of...

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APMA 2101 Problem Set #1 Sample Solution Set (due 25 January 2007) Section 1.1 Section 1.2
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Section 2.3 Historical Research (a) Newton was approximately 23 or 24 years old when he invented calculus. He graduated from Cambridge in 1665, at the age of 22, and was driven home by the closure of the University during the plague, for two years. Before he returned in 1667, while free from the structure of classes, he invented differential calculus and made advances in optics, mechanics, and astronomy.
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Unformatted text preview: (b) If we assume that the solution of differential equations begins with the invention by Leibniz of the anti-derivative in 1686, and that material through Chapter 2 of Zill & Cullen runs through the contributions of the Bernoullis (the last of whom, Johann the 3 rd died in 1807), Ricatti (1676-1754), Euler (1707-1783), dAlembert (1717-1783), Lagrange (1736-1813), and their peers, then we looking at approximately 12 decades of mathematical invention in less than one month....
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ps1solutions - (b) If we assume that the solution of...

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