I was an ambitious undergraduate who took several graduate courses in physics. I didn't have quite the same dilemma as you because I knew I didn't want to go into pure mathematics. Still, I once emailed Ed Witten and asked if I should continue taking graduate level physics courses or math...
The library has a couple of these books, so I looked into Davydov's Quantum Mechanics and Fikhtengolts' Fundamentals of Mathematical Analysis today. These were just quick comparisons for curiosity, but I came away with the following observations:
-Davydov's QM is very similar but a little...
I received Piskunov in the mail last week and I have been extremely impressed. For the record, I own both Apostol and Spivak and am familiar with Courant, and I think I prefer Piskunov!
A First Book of Quantum Field Theory by Amitabha Lahiri and Palash B. Pall was invaluable for getting me through QFT when I took it as an undergraduate.
I think I remember them explaining Noether's Theorem well, among other things.
https://www.amazon.com/dp/0849338972/?tag=pfamazon01-20
Searching the internet has revealed a number of more books that I may eventually add to the list, but I am unsure of their quality and can't find any reviews.
Does anyone have any experience or has heard anything about M. M. Postnikov's Lectures on Geometry series?
Thanks for the suggestions - I was in fact just reading that Dover thread.
I've read that MIR Publishers Moscow was the big publisher of Russian scientific texts and were the original publisher for a lot of the above books. To find many of them nowadays you have to go through Indian...
I recently have become aware of some old Soviet/Russian "classics" and am interested in learning more! It seems the style of the books I have found are always comprehensive but precise and to the point, much like Landau's Course in Theoretical Physics, and I appreciate this style.
The ones I...
I figured it out! Use trig identities for sin(2x) and sin(3x) as well as a double L'Hospital's. In all honesty, I really should have done that before giving up and posting here; I really appreciate all the quick replies, though!
Edit: Actually it's 3 applications of L'Hospitals.
Hey, I have this limit question that I just cannot find the trick for. I've even tried using multiple-angle formulas and converting to complex numbers but I just can't seem to get it. The limit is:
(2sin(x)-sin(2x))/(3sin(x)-sin(3x)) as x -> 0.
The supposed answer is 1/4. Any insights are...
In other threads around here it says that especially for going to graduate school in theoretical physics, the GRE physics subsection and your research experience are the two most important things followed by recommendations and oddly enough, only after these things, your GPA.
Although I have not asked so I cannot say for sure, I am almost positive the professors will say it's arbitrary; I wanted to ask students who may have gone through a similar decision. Mathwonk, it's interesting that you say "real analysis" should be a course on infinite dimensional linear...
The book does not have any set solutions manual. However, almost every rigorous intro E&M class uses this book so you can almost always find solutions on university websites. For example, a quick google search yields:
http://sprg.ssl.berkeley.edu/~bale/H7B/
There. You can actually now...
Thanks for the replies! I think I got the wrong point across. Indeed, I am going to take both an advanced linear algebra and both real and complex analysis courses. I just wanted to know which one to take first, however, I am sure it's arbitrary at this point. I guess then the question is...
I'm trying to decide what math course to take next year. I am a freshman at an ivy league school who as far as I can tell right now, wants to go into theoretical physics; either GR or String Theory (I'm sure you hear this everday :rolleyes: ). I'm trying to decide on what math course to take...