[video member=cmuratori stream_platform=twitch stream_username=handmade_hero project=code title="Overview of the Types of Math Used in Games" vod_platform=youtube id=WN3_d_QcJZE annotator=abnercoimbre annotator=schme annotator=theinternetftw] [00:00][Intro] [1:58][Discussing the reason for a math discussion.] [3:58][Overview of math in programming] [8:20][Arithmetic & Algebra] [10:07][Euclidean Geometry] [12:35][Trigonometry] [14:02][Calculus] [18:12][Complex Numbers] [19:58][Higher-level mathematics in game programming.] [20:49][Linear Algebra] [29:22][Partial Differential Equations] [33:59][Ordinary Differential Equations] [41:03][Non-euclidean Geometry] [48:04][Topology] [51:20][Minkowski Algebra] [53:54][Control Theory] [55:02][Interval Arithmetic] [57:00][Graph Theory] [58:32][Operations Research] [59:48][Probability & Statistics] [1:00:10][Discrete mathematics] [1:02:33][Q&A][:speech] [1:03:11][Do you even breathe bro?] [1:03:20][Doesn't toroidal topology also apply to spheres?] [1:07:58][Laptop battery dies] [1:10:07][Q&A Resumes][:speech] [1:10:36][Is it important to clarify many of these subjects can be learned when you need them, not needed as a baseline?] [1:11:41][Most of 3D games is in euclidian geometry] [1:12:25][What happens in partial differential equations if Scott Meyers is in a gorilla suit..] [1:13:23][Don't the tiles near the inner part of the torus get smaller compared to outside?] [1:15:59][How is dealing with complex numbers in four dimensions more useful for doing rotations?] [1:24:39][Ever do anything with laplace transforms?] [1:25:36][What type of math is used in AI?] [1:26:05][Is all of the things shown in math classes useful?] [1:27:01][Quaternions as you use them in rotations are not euclidian!] [1:27:37][Can we talk a bit about what out of the master list do we expect to use in this game?] [1:28:45][Will the next two weeks cover the basic functionalities of the parts that are math heavy?] [1:29:22][Did you learn most of your math from books or did you take courses?] [1:29:37][I heard Markov chains are also useful crossing control theory with probability. Will we use these?] [/video]