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Course Description

Euler's Identity (e^(i*pi)+1=0) is widely regarded as the most beautiful equation in mathematics. We study the five constants in this equation and their importance as a way to study the history and evolution of modern mathematics. We look at "1," the origin of counting, and how that has evolved into modern abstract concepts. We consider the evolution of number representation such as positional notation and the importance of zero. We then look at "pi," its relation to the circle, and various ways to estimate "pi." We investigate the origin of the constant "i" and the development and application of complex numbers. We consider "e," its origins, various ways to calculate it, and its link to many practical problems. We conclude with Euler's formula e^(i*x) = cos x + i sinx and with the special case where x is "pi". Only knowledge of basic high school mathematics will be assumed. Lecture (plus questions). Facilitated Discussion.
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