- #1
Xamien
- 11
- 0
... or, as an alternative title: I Like Making Things Difficult For Myself.
I will preface this post with the fact that I'm majoring in physics and math, so as to help explain my motivations.
Specifically, I'm interested in the use of Clifford algebras to do many of the calculations common throughout the course of a college career in physics. I've seen suggestions for its use (specifically called geometric algebra or calculus, by one rather passionate individual) and I've seen arguments against. I would like to test the hypothesis myself to see if there really is any benefit to using the Clifford algebras as a linguistic underpinning to my studies, mostly because I am drawn to the alleged computational efficiency benefits.
I've procured some introductions to the subject through the use of Google, but I want more without having to spend $200 at Princeton's Uni press webpage to get the benefit of a hardcopy. Can anyone point me in the right direction? Also, are there any specific subjects that would be invaluable to this endeavor? My level of knowledge is four semesters of Calculus, the basic physics courses for physics majors, with some self-teaching in linear algebra and ordinary differential equations.
To answer any possible questions, I am aware that I am making things difficult for myself taking on more work, but I'm doing it because I enjoy the topics and I have a little brain bandwidth left to spare.
I will preface this post with the fact that I'm majoring in physics and math, so as to help explain my motivations.
Specifically, I'm interested in the use of Clifford algebras to do many of the calculations common throughout the course of a college career in physics. I've seen suggestions for its use (specifically called geometric algebra or calculus, by one rather passionate individual) and I've seen arguments against. I would like to test the hypothesis myself to see if there really is any benefit to using the Clifford algebras as a linguistic underpinning to my studies, mostly because I am drawn to the alleged computational efficiency benefits.
I've procured some introductions to the subject through the use of Google, but I want more without having to spend $200 at Princeton's Uni press webpage to get the benefit of a hardcopy. Can anyone point me in the right direction? Also, are there any specific subjects that would be invaluable to this endeavor? My level of knowledge is four semesters of Calculus, the basic physics courses for physics majors, with some self-teaching in linear algebra and ordinary differential equations.
To answer any possible questions, I am aware that I am making things difficult for myself taking on more work, but I'm doing it because I enjoy the topics and I have a little brain bandwidth left to spare.