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<!DOCTYPE html>
<html lang="en">
<head>
<!--
New Perspectives on HTML5 and CSS3, 7th Edition
Tutorial 1
Case Problem 2
Leonhard Euler Biography
Author: Hesbon Osoro
Date: 12/5/22
Filename: ms_euler.html
-->
<meta charset="utf-8" />
<meta name="keywords" content="math,Euler,pi,geometry" />
<title>Leonhard Euler (1707-1783)</title>
<link href="ms_base.css" rel="stylesheet" />
<link href="ms_layout.css" rel="stylesheet" />
</head>
<body>
<header>
<img src="ms_logo.png" alt="Math Strings" />
<article>
<h1>Leonhard Euler (1707-1783)</h1>
<img src="ms_euler.png" alt="Euler" />
<p>
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.He is perhaps best known for his
research into mathematical analysis. Euler's work,
<cite>Introductio in analysin infinitorum (1748) </cite>, remained a
standard textbook in the field for well over a century. For the
princess of Anhalt-Dessau, he wrote
<cite> Lettres à une princesse d'Allemagne (1768-1772) </cite>,
giving a clear non-technical outline of the main physical theories of
the time.One can hardly write a mathematical equation without copying
Euler. Notations still in use today, such as <var> e </var> and
<var> π </var>, were introduced in Euler's writings. Leonhard Euler
died in 1783, leaving behind a legacy perhaps unmatched, and certainly
unsurpassed, in the annals of mathematics.
</p>
</article>
<aside>
<h1>The Most Beautiful Equation in Math?</h1>
<p>Perhaps the most elegant equation in the history of math is:</p>
<code>
<em>cos</em>(<em>x</em>)+<em>i</em>sin(<em>x</em>)=<em
>e<sup>xi</sup></em
>
</code>
<p>
which demonstrates the relationship between algebra, complex analysis,
and trigonometry. From this equation, it's easy to derive the
identity:
</p>
<code>
<em>e</em><sup>π<em>i</em></sup
>+1=<em>0</em>
</code>
<p>
which relates the fundamental constants: 0, 1, <var>π</var>,
<var>e</var>, and <var>i</var> in a single beautiful and elegant
statement. A poll of readers conducted by
<cite>The Mathematical Intelligencer</cite> magazine named Euler's
Identity as the most beautiful theorem in the history of mathematics.
</p>
</aside>
<nav>
<h1>Learn more about Euler</h1>
<ul>
<li>Euler at Wikipedia</li>
<li>The Euler Archive</li>
<li>Euler at Biography.com</li>
<li>Euler at Famous Scientists</li>
</ul>
</nav>
<footer>Math Strings: A Site for Educators and Researchers</footer>
</header>
</body>
</html>