Well, I'd hate to imply that the philosophy courses aren't necessarily challenging. Indeed, they are! It's just that it comes much more naturally to me than mathematics. I'm getting a lot from my philosophy courses, but I need not give nearly as much effort. That is, they're at least high reward...
I've been working Rudin now, and have a supplement I found online which I've also been working. The transition to advanced math course has helped immensely for figuring out how to tackle these problems. I've also been using David Velleman's "How To Prove It" and Chartrands book on mathematical...
Hi, all. I'm currently in a graduate program in philosophy and simultaneously doing work in mathematics. Since I've not experienced advanced math until now, I have no way to judge how realistic my projected course loads will be. Any input would be useful.
A little about my situation. I'm...
I see what you mean. You just kind of pulled apart the individual components and worked your way up from there. Nice.
I don't think you actually have to lay out the steps nearly as much as you're saying in your reply. I'm pretty sure you had it down right the first (revised) time.
I find the basic stuff pretty tricky, too, which is why this was so difficult.
The 4th step is close, but not quite it. If you had the book I have (which lays out all these axioms and propositions) you'd see it. I'm not going to retype it all.
I do like yours better; it uses less steps and...
At the end I think you mean -m = (-1)m. You're missing a sign.
I don't think that works because we haven't defined -m, so you can't say it's by definition of -m. In fact, we're actually trying to define -m via this proof. Also, in the first step I think you'd need to be clear that 1+(-1)=0 is...
Homework Statement
Prove \forall m \in \mathbb{Z} that -m=(-1)m
Homework Equations
The axioms of \mathbb{Z} are assumed, as are some of its propositions and corollaries. They would be too many to retype here, so assume that I have referenced the correct axioms and propositions if those...
My friend – a former TA in astronomy, who's completing her PhD in Astrophysics – suggested to me that graduate programs may be fine with acing the Physics GRE subject test in the stead of posted grades in coursework. I know I'll have to ask the specific graduate programs, but since some of you...
Gokul43201, hopefully I can address all of your questions in brief.
Physics has always been an interest; has been since as far back as I can reasonably remember (I prize my first physics books). I want to divide my time between teaching and _theoretical_ research, i.e. go into academia. My past...
TMFKAN64, thanks for all your help. It's very deeply appreciated.
I'll have to look into the federal student loans question further. I think I figured out a way to financially handle it, but I'm not positive; besides, I won't know how finances will actually shake out for some time.
At SDSU...
bravernix, I do need to talk to some of the graduate programs I'm interested into see whether they'll accept the Open University courses as equivalent to a standard background in physics; since they stress simply being prepared for the rigors of the graduate curriculum, it seems unlikely to me...
TMFKAN64, thanks a lot for those two simple words. It does seem to vary by campus with how many credits one can take. The case you mention is true at SDSU. CSU Los Angeles also has Open University, with 36 credits. I think this is a good idea – even in the case of just 24 credits – since I'll...
RasslinGod, to clear up, I'm planning on pursuing a PhD program in physics, not a career with a BS. The undergraduate coursework is being done only to ensure competency for the graduate coursework, and the only true way to gain competency is through such coursework.
symbolipoint, the confusion...
From doing some research online, a number of people received some pretty decent answers to related questions here on Physics Forums. So I thought I'd give it a shot.
I'm graduating from the University of Maryland in May with two BA's in Art History and Philosophy. Though I enjoyed the...