¿Qué es una Serie de Fourier? Del Flujo de Calor al Arte con Círculos

🎬 Video adapted to Spanish by A Toledo (Ingesaurio). Follow me for more short science and engineering videos on my networks: https://beacons.ai/ingesaurio Fourier series are not only a mathematical tool, they can also create stunning animations! In this video, we will explore how this fascinating technique works, combining rotating vectors to draw any shape imaginable. With 300 synchronized arrows, discover how mathematical simplicity can generate visual complexity that will leave you speechless. You will learn not only about its connection to physics, but also how Fourier transformed wave analysis into a unique visual art. Correction: At minute 9:33, all exponents must have a pi^2 If you are looking for more content about Fourier series online, including code to create these types of animations yourself, check out these additional posts! Also, if you are interested in the deep mathematical analysis behind this topic, we recommend Stein Shakarchi's book: "Fourier Analysis: An Introduction". Timestamps: 0:00 - Drawing with circles 2:22 - The heat equation 6:53 - Interpreting infinite sums of functions