My name is Grant Sanderson. Videos here cover a variety of topics in math, or adjacent fields like physics and CS, all with an emphasis on visualizing the core ideas. The goal is to use animation to help elucidate and motivate otherwise tricky topics, and for difficult problems to be made simple with changes in perspective. For more information, other projects, FAQs, and inquiries see the website: https://www.3blue1brown.com
This podcast explores the Central Limit Theorem (CLT), a core idea in probability theory. It starts with a simple Galton board model to demonstrate how the sums of random variables trend toward a normal distribution, or bell curve, as the number of variables increases. The discussion then transitions into the mathemati...
This podcast dives into convolutions, an essential yet often overlooked operation for combining lists of numbers or functions. It begins with relatable examples from probability, like rolling dice, and then transitions into image processing, showcasing techniques such as blurring and edge detection through engaging vis...
This podcast delves into a fascinating mathematical discovery: a sequence of integrals that initially all equal π starts to diverge slightly after a certain number of iterations. The host illustrates this by likening it to a series of moving averages derived from a rectangular function, where the plateau length gradual...
This podcast explores the outcomes of the second annual Summer of Math Exposition, a contest aimed at promoting the creation and sharing of math lessons online. Host Grant Sanderson shares the event's impressive results, including over 7 million views on video submissions, thanks in part to a community-driven peer-revi...
This podcast delves into the dangers of relying solely on visual intuition for mathematical proofs by examining three examples of flawed arguments. The speaker begins with a visually appealing yet incorrect calculation of a sphere's surface area, which highlights the risks of overlooking geometric nuances. Next, a seem...
This podcast dives into a fascinating counting problem: determining how many subsets of the set {1, 2,...2000} have elements that total a multiple of 5. It introduces the use of generating functions and complex numbers to tackle this challenge. The approach involves creating a polynomial where the coefficients reflect ...
This podcast delves into how information theory, particularly the concept of entropy, can enhance your Wordle gameplay. The host explains the development of a Wordle-solving algorithm that began with the assumption of equal probabilities for all words. However, the algorithm was refined by adding word frequency data, w...
This podcast delves into two distinct problem-solving methods: Bob's computational approach and Alice's abstract, generalizing technique, using the challenge of calculating the average area of a cube's shadow as a prime example. It outlines Bob's careful calculations, which involve integrals and trigonometry to reach a...
This podcast episode provides a deep dive into the fascinating interplay between polynomial roots and their applications in engineering, specifically within computer graphics. It explains the practicalities and significance of finding polynomial roots using Newton's method, emphasizing its efficiency and the stunning f...
Follow this podcast in Podwise
Sign in to get AI summaries, transcripts and mind maps for any episode, including new ones.
