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Miscellany

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·published 2007-10-23 12:26 UTC
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	<Title>Leonhard Euler</Title>
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<p><img src="H:\My Documents\Web Design\WEB_1_Student Data Files\ONE\case2\euler.jpg"></p>
<h1>Euler, Leonhard</h1>
<h3>(1701-1783)</h3>
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The greatest mathematician of the eighteenth century, <strong>Leonhard Euler</strong> was born in Basel, Switzerland. There, he studied under another giant of mathematics, <strong>Jean Bernoulli</strong>. In 1731 Euler became a professor of physics and mathematics at St. Petersburg Academy of Sciences. Euler was the most prolific mathematician of all time, publishing over <em>800 different books and papers</em>. His influence was felt in physics and astronomy as well. Euler's work on mathematical analysis, <u>Introductio in analysin infinitorum</u> (1748) remained a standard textbook for well over a century. For the princess of Anhalt-Dessau he wrote <em>Lettres &agrave une princesse d'Allemagne</em> (1768-1772), giving a clear non-technical outline of the main physical theories of the time.</p>
<p>One can hardly write mathematical equations without copying Euler. Notations still in use today, such as <em>e</em> and <img src="H:\My Documents\Web Design\WEB_1_Student Data Files\ONE\case2\pi.jpg">, were developed by Euler. He is perhaps best known for his research into mathematical analysis. Euler's formula:</p>
<p style="text-align: center;">cos(<em>x</em>) + isin(<em>x</em>) = e (<em><sup>ix</sup></em>)</p>
<p>demonstrates the relationship between analysis, trignometry and imaginary numbers, in one beautiful and elegant equation.</p>
<p>Leonhard Euler died in 1783, leaving behind a legacy perhaps unmatched, and certainly unsurpassed, in the annals of mathematics. Math 895: The History of Mathematics.</p>
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<p>Math 895: <em>The History of Mathematics<em></p>
<p>David Yannick 9:20 AM 10/22/2007</p>
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