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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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Section Title
Amazing Beauty of Numbers: A History of Mathematics
Type
Classroom - In Person
Days
W
Time
11:00AM to 12:30PM
Dates
Jan 29, 2025 to Apr 02, 2025
Schedule and Location
Contact Hours
15.0
Delivery Options
Classroom - In Person  
Course Fees
Instructors
Section Notes

Please note: The course is structured to appeal to people with a wide range of mathematical ability. Historical content presumes little mathematical knowledge. A basic knowledge of high school algebra is assumed in the more technical portions of the material.

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