Recent content by Riemannliness

I'm wondering if anybody knows about or has used a good introductory physics textbook that is mathematically rigorous. I'm really interested in physics, but I'm a mathematics student and I CAN'T STAND any of the books I've tried to use so far (eg. Knight's Physics). I've really grown to dislike...

Do sets in a discrete topological space have boundaries?

Spivak's book is by far my favourite. He conveys the subject elegantly yet rigorously, while maintaining his writing in a way that tells a definitive "story" of analysis. I find that mathematical texts fall into to general categories: Dictionary style, with theorem after theorem, and a very...

You're probably right. But I was under the impression that it had to be nonzero at least a couple points. Would it be possible if that were the case?

Here's one I've been stewing over: - Let S be a nonempty set of F, and F a field. - Let F(S,F) be the set of all functions from S to the field F. - Let C(S,F) denote the set of all functions f \in F(S,F), such that f(s) = 0 for all but a finite number of elements in S (s \in S). Prove that...

I just finished the first year math/phys specialist gambit, and I'd have to say that it might be hard for you to really weigh your options before experiencing at least one term. I was going for the math/phys double spec at the beginning of the year, and i was really anticipating higher level...

Yes, the book takes the stance that the zero vector is orthogonal to every vector.

Oh snap! Good one.

(Note: this isn't a homework question, I'm reviewing and I think the textbook is wrong.) I'm working through the Gram-Schmidt process in my textbook, and at the end of every chapter it starts the problem set with a series of true or false questions. One statement is: -Every orthogonal set...

Hypothetically, could the process of electron capture in any way be affected by the presence of halo nucleons? There is probably little relation if any, I don't even think that any nuclear of the known halo isotopes can undergo decay under k-capture.

Actually I went to the bookstore and I didn't see it there :S My girlfriend ended up getting it for me as a birthday present <3 (She spoils me). She bought it off amazon I think.

Here's a thought that was bugging me last night: Lets say you placed a very long rigid pole (jokes kept to a minimum please) into orbit so that one end (end #1) faced the center of the earth, and the other (end #2) pointed out into space (So that the center of the Earth and all the points on...

Be careful with those caffeine substitutions - they work for math but not so much for thought experiments in physics. To add to the above: Law of conservation of energy (simplified) For this system -> Etotal = EK + EG Where EK is the kinetic energy of the system and EG is the gravitational...

I rely on only the best: cocaine

Actually there's a whole proper technique that involves caffeine. I've never really invested enough effort into trying it though.