Foundations of Game Engine Development, Volume 1

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1. deltasquaredJun 2020
   I do have a bit of physics in my background. I read about Grassmann recently in a game programming book. Foundations of game engine development Volume 1 By Eric Lengyel ends with a nice explanation of Grassmann algebra.

   The road to reality by Roger Penrose also has a treatment of Grassmann algebra in physics context.

   I agree the library is likely a reference to the mathematician.

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2. elengyelJan 2020
   I think you might like Foundations of Game Engine Development, Volume 1. (http://foundationsofgameenginedev.com/) It focuses on practical uses of Grassmann algebra and doesn't avoid doing real-world calculations with actual coordinates. It also doesn't dwell on extraneous theoretical material that isn't directly necessary for getting your work done. Source code is included for all the operations.
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3. e4m2Feb 2024
   The author of that talk, Eric Lengyel, also wrote the book "Foundations of Game Engine Development, Volume 1: Mathematics". Its 4th chapter focuses on the same topics.
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4. Iwan-ZotowNov 2020
   Foundations of Game Engine Development, Volume 1: Mathematics by Eric Lengyel

   Chapter 1-3 is usual stuff, Chapter 4 is GA

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5. skybrianNov 2020
   From a brief skim, it looks like this introduction has the same problem as every other introduction to geometric algebra that I've seen: a complete lack of practical examples.

   Where is there an introduction that shows you how to use geometric algebra to write better code to perform calculations? Or maybe to do word problems, like when we teach kids algebra or calculus?

   Even in a supposedly practical book like Foundations of Game Engine Development, Volume 1, there are code examples throughout the book, except for the chapter about geometric algebra.

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