[HN Gopher] An Introduction to Geometric Algebra (2012) ___________________________________________________________________ An Introduction to Geometric Algebra (2012) Author : fanf2 Score : 27 points Date : 2020-11-27 11:43 UTC (2 days ago) (HTM) web link (arxiv.org) (TXT) w3m dump (arxiv.org) | skybrian wrote: | 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. | pvg wrote: | There's a subsection section called Simple Applications at the | very beginning and a toplevel section Applications at the end. | TheMightyLlama wrote: | I'm someone who never really internalised nor had use for any | arithmetic, let alone mathematics, at all in life. And yet I see | mathematics like this and I'm blown away at the apparent beauty | of it. | | I look at equations I just _want_ to understand and navigate in | my mind. But without knowing the path to get there I'm stuck at | zero. | | Take the Riemann hypothesis for example. I wouldn't mind | understanding all the notation with examples and exercises for | each part of the notation so I could bring it back together | myself. | | There's beauty here and I want it in my head. | solotronics wrote: | This is a pretty good resource! | https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Cal... | [deleted] | adamnemecek wrote: | You should check out the bivector community https://bivector.net/ | dedicated to Geometric algebra. | | Join the discord https://discord.gg/vGY6pPk. | | Check out a demo https://observablehq.com/@enkimute/animated- | orbits | | Automatic differentiation that's all the rage is based on | geometric algebra, namely dual numbers. | | I wonder if automatic integration is possible. I have a hunch it | is. ___________________________________________________________________ (page generated 2020-11-29 23:00 UTC)