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Course Description

IN PERSON: This course explores Euler's Identity, e^{ip} + 1 = 0, celebrated for uniting five constants-0, 1, p, e, and i-in a single equation. We will trace the significance of each constant beginning with "1" and its role in counting and continuing with the invention of "0" and positional notation. We delve into p, its relation to circles, and methods for approximating it, and then explore the imaginary unit i and complex numbers. For e, we will examine its origins, calculation, and links to calculus. Students will study Euler's formula, e^{ix} = cos(x) + i sin(x), and why setting x as p yields Euler's Identity. We will also touch on logic, proof, and infinity. Designed for those with high school math, this course offers an accessible exploration of modern mathematics' beauty and evolution. | Lecture + Q&A.

Max enrollment: 25.

Location: Judea Reform Congregation, 1933 W. Cornwallis Rd, Durham NC 27705

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