Looking for learning resources for Clifford Algebra

[JonnyBadFox]

I'am an armchain self learned guy and in my opinion physics isn't actually that complicated. What's complicated is notation in physics. What I find difficult is index notation. I understand the Einstein Summation Notation, it's not so difficult, but often it gets messy.

One example is the Dirac Equation, where you have matrices as components of gamma matrices. Or inner products as components of matrices. I did some research and found out that this is called Clifford-Algebra. Now do you know any good introduction book to this? I think it's like a very general form of linear algebra where all kinds of products are generalised, so that you can have something like an inner product of a partical derivative and a vector field as components of matrices or tensor products as components and messy stuff like that. I hope you know what I mean.

I found a few books about it, but it's very mathematics oriented, not very beginner friendly. I like concret examples with simple numbers. Does a book like that even exist?

(I know that geometric algebra is reformulated clifford algebra, but GA doesn't help very much)

 

[sophiecentaur]

I found a few books about it, but it's very mathematics oriented, not very beginner friendly. I like concret examples with simple numbers. Does a book like that even exist?

Are you, perhaps trying to jump into this too far, too fast? At this level of symbolic representation and manipulation, "concrete examples" may be hard to find, off the shelf.

You say that you find Physics not actually that complicated. Fact is that it really is complicated and can only be dealt with within 'the maths'. Self teaching is a hard way into a subject like Physics because it's so easy to form one's own internal models which may not be accurate. Physics has been going for a few hundred years and the maths for dealing with it has evolved along with the experiments and observations.
If you want to progress I'd suggest you find a formal course for the basic stuff (both Physics and Maths). Are there any establishments offering formal tuition at your level for adults? It can be very risky to use sources like YouTube for help because you can't be sure of the quality of what you see on line.