I've seen a number of books and articles touting Geometric Algebra as an important new area of math that will have large application to physics. Is there anything to these claims? Is it worth studying for a physics student?
It slices it dices! (Well, it does have a lot of blades, anyway.)
Yes, I have it. I have some mixed feelings about it. The Linear Algebra part is a reasonable review if you already know the material. I would not use it as the only book for a first course, though.While browsing on Amazon recently, I came across this title: Linear and Geometric Algebra. Based on the "search inside" feature, it looks good and very accessible, not to mention reasonably priced. Has anyone here read it?
Sankaku: Yes, that's good for the real mathy-math types, not the place to start unless you eat abstract algebra for breakfast, lunch and dinner.
I've just started a postdoc in geometric algebra and I am reading the book, "Geometric algebra for computer scientists" and I am finding it VERY good, it has a great deal of supplementary material and is actually very good. My one caveat though, is that you should be reasonably familiar and happy with linear algebra first. It really has a great deal of things going for it.No, but I read his GA paper a few years back and recall it as pretty good. I'd look at the the primer from Jaap Suter first, and try out the GAViewer software and its tutorials before spending money on books. (links in my previous post) If you're already into linear algebra, then McDonald's book might be the best first book, but take a look at "Geometric Algebra For Computer Science", too.