Theoretical Physics, In Your Own Time
michaelhallsmoore.com
michaelhallsmoore.com
I have previously seen two similar lists that are in my opinion better than this one:
John Baez, How To Learn Math And Physics http://math.ucr.edu/home/baez/books.html
Gerard 't Hooft, How To Become A Good Theoretical Physicist http://www.phys.uu.nl/~thooft/theorist.html
I also agree that those two lists are excellent - thank you for bringing them to my attention.
One important aspect I have neglected is Statistical Mechanics. I'm not familiar with that area, being more of an applied maths guy.
I read some of his pieces on Lie algebras and A-D-E classifications. Very helpful.
For general relativity, I really recommend Sean Carroll's book Spacetime and Geometry http://preposterousuniverse.com/spacetimeandgeometry/. If it seems like a long road ahead just take it one step at a time. You'll get there.
Carroll's book looks interesting. I'll add it to the Amazon wishlist!
If all you care about is learning some physics, then this is great. But to really do theoretical physics the best way still seems to be to have an apprenticeship with someone who already does it.
As it happens, Physics is not my main discipline. I did Maths, then Aero (CFD). I did get by with enough Cosmology/Quantum Mechanics at undergrad to be able to pick up some advanced undergrad/grad level texts however.
I can certainly agree that some of the more obscure aspects of compressible flow solvers would have been very difficult to grasp, if I hadn't been able to question my supervisor on the topic.
I visited the MadEvent/MadGraph wiki. I can see it is related to particle physics and symmetry models, but what does it do, out of interest?
Feynman's Statistical Mechanics is a pleasant read: http://www.amazon.com/Statistical-Mechanics-Lectures-Advance...
I used to be an experimental particle physicist, so I've certainly got some bias here, but I really think learning particle physics and the Standard Model is worth while. Halzen and Martin is a VERY good textbook and an excellent preparation for studying quantum field theory.
http://www.amazon.com/Quarks-Leptons-Introductory-Particle-P...
Yes, it is expensive. But it is very well written and thorough.
Also, I think it's always important to mention in these conversations that most physicists don't take string theory seriously. From the outside, it looks like the exciting frontier of modern physics. But that's more about Brian Greene's skill in marketing himself than string theory's explanatory value.
That being said, the Fabric of the Cosmos is a good layman's survey of the modern physics landscape:
http://en.wikipedia.org/wiki/The_Fabric_of_the_Cosmos
Just bear in mind that Greene makes a lot of claims that aren't experimentally justified in chapters 12 and onward.
Otherwise a lot of this stuff is torrentable. Also check international editions.
I did put some free resources at the bottom of the article, although admittedly I could have added more. If you look at the link in the first comment there are some great lectures in there.
Leonard Susskind's Stanford Modern Physics lectures are fantastic. If you search on YouTube for Stanford/Susskind/General Relativity etc, you should be able to dig them out.
One is that these books are not computing hardware. If you buy them used and take care of them they won't depreciate quickly. Just sell them a couple years later. If you find you need them again several years after that, Abe Books/Amazon will find them for you again.
The other is: Theoretical physics is hard, evil hard for most people. Don't handicap yourself with crappy tools. The difference between a lousy book [1] and a great book may be hundreds of hours, it may be frustration with the material that makes you want to cry, or it may be the difference between learning the material and hitting an impenetrable wall.
I should also warn you that I and my colleagues in physics routinely found that we had to sample a dozen highly-rated books in a given subfield before we found the one that gave us the insight into our particular problems. I picked up that many books on semiconductor optics - and my better-read colleagues tried many, many more papers than that - before finding Coldren and Corzine, which is a revelatory text. (And, for all I know, out of print now. The hell of becoming a world expert in something is that you wind up being part of a global audience that would fit in one or two buses.)
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[1] For you, at a particular time in your career, for a particular set of things you are trying to learn. Every book is is lousy to someone. The fact that there is no one-size-fits-all standard for books is just another reason why your physics education is going to require a bit of trial and error, fueled by a bit of cash.
Further down the road Laundau & Lifshitz is apparently the Bible.
Maybe rguzman can post his reading list...
Basically I haven't posted mine so that the top-voted comment on my submission to HN doesn't read like this: http://news.ycombinator.com/item?id=1889946 ;-) (which I upvoted and entirely agree with, by the way).
But at the same time this is starting to seem daunting... how long would it take to go through all this material on a part-time basis? Well, my original plan was to do it after I semi-retire.
Also, it depends on how much you really want to understand. If you want to be at the level of taking exam papers in all the material, then you would need to study a lot. If you just want a broad (but mathematical) introduction to the topics, you can go much faster.
To make things ultra-exciting, you can try and generate computer experiments around the material you're reading. Build a differential equation solver, use some Python libraries to visualise a pendulum swing, etc. It really makes it come alive and gives you a far better understanding of what is really happening.
The whole thing is basically a massive exercise in vanity. I wouldn't be surprised if it actually were the most unread book published recently, in relative terms (that is, the most percent of people who bought it didn't end up reading any substantial part of it).
Given that you're a physics PhD, I'd love to hear your thoughts on how the post could be improved. I'm keen to expand it and "fill in the gaps" that others have suggested.
To really get on top of all that stuff is a huge project, and the best way you're going to do it is by solving problem sets for a few years.
From my current viewpoint, I'd pick something really specific (say, modern models of quantum black holes) and try to develop the straightest line to it. Of course, I blew 9 years getting an undergrad and grad degree so I've got that base.