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.
Overview
Syllabus
Small correction: at , all the exponents should have a pi^2 in them.
- Drawing with circles
- The heat equation
- Interpreting infinite function sums
- Trig in the complex plane
- Summing complex exponentials
- Example: The step function
- Conclusion
Taught by
3Blue1Brown
