I'm self studying Chaikin's Principles of Condensed Matter Physics.
I'm trying to figure out how to go from (5.2.30) to (5.2.31).
Homework Statement
5.2.30 is the one-loop approx. to the free energy.
I'll denote G0^-1 from the book G
~ Integral(ln(G(phi(x)))
5.2.31 is (as far as...
I'm looking at prop 19.5 of Taylor's PDE book.
The theorem is:
If M is a compact, connected, oriented manifold of dimension n, and a is an n-form, then a=dB where B is an n-1 form iff the ∫a over M is 0.
I'm trying to understand why a=dB implies ∫a = 0.
If M has no boundary, than this...
MS comp sci. I'm a programmer.
Work involves: figuring out what to build next. Documenting it. Then building it. Then debugging it. Finally shipping. Then repeat the cycle.
All aspects of the cycle are frequently interesting for different reasons. In figuring out what to build...
AP as in high school? I haven't read Spivak's Mechanics, but I have read a couple volumes of his differential geometry series. (They are tremendous, and I highly recommend them.)
1 amazon review says that Spivak recommends you read vols 1 and 2 of his differential geometry series before...
For what its worth, I ordered this one:
https://www.amazon.com/dp/3642074006/?tag=pfamazon01-20
It just came today. I'm only a few chapters in, but it is clear and easy to follow. I'm very happy with it so far.
I'm interested in this too. So hopefully someone replies with specific recommendations.
I've been poking around amazon, and it looks like the main subject areas (based on tables of contents of various books) are:
Molecular quantum mechanics
Molecular physics
Quantum chemistry...
Here's some free course notes that are primarily coords free:
http://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnx3aW5pdHpraXxneDoxN2EyNzZjYmViODQ3ZWQ
If you don't trust that link, search for:
"General Relativity Winitzki"
Personally, I'd go thru one of the below before jumping into Byron.
https://www.amazon.com/dp/0306450356/?tag=pfamazon01-20
https://www.amazon.com/dp/0471198269/?tag=pfamazon01-20
Higher level:
https://www.amazon.com/dp/0120598760/?tag=pfamazon01-20
Thanks. I'll take a look at those, too.
What drew me to Chaikin was the focus on fluids as well.
I also found a book specifically on fluids:
Structured Fluids by (Thomas) Witten
As for my level - I'm self-studying, and would prefer to err on the side of a little too challenging...
I'm mainly looking for how "real" life properties are explained. I'm looking for a book on the properties of matter. Something that covers the why liquids flow, the detailed properties of water, how different colors come about, etc, properties of solids, etc. Why are soft things soft? Stuff...
I've been self-studying math/physics for over 10 years now. One thing is that you need to adjust your time frame and expectations. In school, you're talking multiple classes at the same time, and focussed full time on your studies. But you're only in school for a few years. Even with PhD...
I'm looking for recommendations for QFT books written from a more math perspective. I'm looking for the usual intro topics, including the standard model, etc. Ideally, emphasis on geometry and understanding. Calculating scattering in gory detail isn't my goal.
From this thread...