[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)