Explore the fascinating world of Fourier series in this 25-minute video that takes you from heat flow equations to drawing with circles. Delve into the mathematical concepts behind infinite function sums, trigonometry in the complex plane, and complex exponential summation. Learn how to interpret these mathematical tools and see their practical applications, including an example using the step function. Gain a deeper understanding of this powerful mathematical technique through engaging animations and clear explanations, perfect for those interested in mathematics, physics, or signal processing.