I think it's a shame that people only use Bourbaki as a reference and not as a backbone to their math studies. The way Bourbaki puts math together as a unified subject is something that so far I think everyone should see. This can be seen in the current "problem" in math. Everyone is now...
I've started reading Bourbaki and I'm finding myself blown away. It seems to be like reading Linux source code, dry but extremely powerful and clear. I'm seriously thinking about reading the whole series from Theory of Sets to Commutative Algebra over the next year or two.
Anyone else ever...
It depends on what you want to use your math for eventually. If you want to be a mathematician (or semi-competent physicist) start looking into rigorous calculus books like Rudin (or Bartle and Sherbert for a less steep learning curve). Otherwise, any cheap text will probably do.
I agree with Haelfix. Just go straight to the mathematicians (Spivak) treatment. Trying to chince on rigor only comes back to haunt you either in having one hand tied behind your back or substandard papers.
On a funny note, I was at a GR/Diff. Geo. conference the other day. You can tell...
If you are just studying for the AP test, any old calc text will probably do.
If you want to learn math the right way, consider getting Spivak's Calculus. Then you should be ready for Rudin's Principles of Mathematical Analysis and Spivak's Calculus on Manifolds. Also consider looking into...
Just browsing through here quickly, no one seems to mention von Neumann. Man, was he brilliant. Not to mention Poincare. He almost had relativity before Einstein.
I got a couple of females to add that held their own too
Olga Ladyzhenskaya
Emmy Noether
Sofia Kovalevskaya
I think I'd...
I've been tutoring math to HS kids on the side while being a math graduate. I've been toying with the idea of trying to use Spivak or Courant to teach one of my tutees. One in particular is actually in 9th grade and seems enthusiastic about mathematics. The reason why I think it will work is...
Thanks a million. Don't worry about ruining it for me. I will learn each step. I need to learn this packet stuff in a hurry for the future homeworks and tests.
I gave it a pretty fair shot, and I was close to getting it.
I was wondering if anyone can give me some assistance on a homework problem. Here it is,
Consider a wave packet defined by
\begin{equation}
\vec{A}(\vec{r},t)=\int \hat{\mathcal{A}}(\vec{k}-\vec{k_0})
\frac{e^{i(\vec{k}\cdot\vec{r}-\omega(k)t)}}{(2\pi)^{3/2}}d\vec{k}
\end{equation}...
I just got my copy of Sakurai today. I'm going through the first chapter. This stuff so far is child's play to anyone with a bit of grad linear algebra behind them. I like this bra and ket stuff.
Now we've stumbled on to a real relevant problem for mathematics and mathematicians. There are areas in the physical sciences that are easy math problems that yield Nobel prizes. In one of the recent AMS (American Mathematical Society in case anyone didn't know) publications, they had an...
I've often wonder why they don't guide physics majors more towards becoming formally trained mathematicians. Physics, to a point, can be done with just applied math, but at some point one hits a ceiling that needs pure math to get beyond. Areas in math like differential geometry, real...
Here's the email I've been getting back from the profs for QM:
It is assumed that you know differential equations and matrix theory. Some knowledge of infinite dimensional spaces--Hilbert spaces is also helpful. The math demands are not all that high. I am around if you want to discuss...