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Maths with Complex Numbers

How the Fourier Transform Works, Lecture 5 | Maths with Complex Numbers Next Episode: https://bit.ly/3kFRMMH Course playlist: https://bit.ly/2WyzWD4 http://howthefouriertransformworks.com/ View the whole series at:    • Understand the Fourier Series   The mathematical beauty of ‘i’, the square route of minus 1, is all very well, but what use to us is a number that cannot be calculated? Well in the Fourier Transform, ‘i’ serves a very important purpose indeed. It keeps things separate, and that is exactly what we want from an algorithm that breaks a signal apart into its constituent sine waves. How does ‘i’ keep things separate and how does this help us? This is the seventh in this series of videos which take a new and visual look at the maths behind the magic of how the Fourier Transform works. Please help me finish filming the course by supporting me on Patreon: www.patreon.com/MarkNewman A transcript of this lecture can be downloaded from the following link: https://drive.google.com/file/d/1wIX6... Click below to subscribe to the Course's mailing list to receive an update when the next video is available, updates about the course's production, and a notification of when the full course is available to purchase. http://eepurl.com/dwgO7D #learning #math #educational Thanks for watching the video How the Fourier Transform Works, Lecture 5 | Maths with Complex Numbers