I feel like summarizing my thoughts, yet again.
Maybe it is because tomorrow I will formally start working. Or maybe it is that I feel like I am done with relativity for the summer.
Well, concerning relativity. I have not gotten yet to Einstein's Equation! I guess that I am not done with relativity until I discuss this part. So maybe I will stop reading Sean Carroll's book after the 4 chapter. I feel like I will be learning most of the physics during this coming semester, so I want to cover more mathematics during the summer. That is why I have been concerning more with topics about manifolds and geometry than with specific metrics like the example of the flat, expanding metric in the book.
So in the end I clear most of chapter 1, chapter 2 and most of chapter 3 from Spacetime and Geometry. I have on my queue to read the appendices on other mathematical topics (including non-coordinated basis, which are important for spinors, and hypersurfaces and induced metrics). Before I started I had read the first part of the chapter on manifolds in Nakahara's book. I think now I will turn to the second part of that chapter on Lie groups.
Additional topics I want to read about include more Yang-Mills theory, and spinor stuff. I am thinking of reading some of Siegel's book. I just cannot concentrate with my computer on, so sadly I might have to print some of the chapters. I guess it is not that sad, since the trees have already been used; the paper is ready for printing. As long as I put it in the recycling bin it is OK. If somebody wants to save some trees, he/she has to prevent them from being cut down. I guess not using paper will send some sort of message, but it might not be a effective.
Anyway, I guess I will start my second part of the summer term tomorrow.
