# Topology in many particle systems

1. Sep 1, 2009

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2. Sep 2, 2009

### xepma

Interesting notes, but what exactly do you need help with? You have to be more specific.

3. Sep 2, 2009

### tayyaba aftab

i basically have no bakground regarding topology thats why i cannot understand even from startlike i dont know what hessian matrix is?
its diagnolization etc.
i started reading these notes many times but coudnt get any thing
what to do ?

4. Sep 4, 2009

### alxm

Well, do you know what a http://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant" [Broken] is? This isn't topology, it's multi-variable calculus. It's the matrix of the partial derivatives of one set of coordinates with respect to another set of coordinates. (see link for examples)

A Hessian matrix is the same thing, just for the second-order derivatives.

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5. Sep 4, 2009

### tayyaba aftab

buttttttttttttttttttttt what about rest of the notes?

6. Sep 4, 2009

### alxm

Honestly, I think you're out of your league with those lecture notes. If you get stuck in the second paragraph of the first page on 'mathematical preliminaries' (things you should already know before taking that course), then you're simply not ready for it.

Specifically, multi-variable calculus (which covers Hessians) is first or second-year stuff for a physics undergrad, whereas those lecture notes are for a graduate course.

Nobody is going to even attempt to explain an entire course on a message board. And asking to fill in several years of missing prerequisite knowledge is just absurd.

7. Sep 5, 2009

### genneth

That said, I like these notes. Who wrote them? Are there more where these came from?

8. Sep 5, 2009

### atyy

I googled the info at the top of the notes - it's Joel Moore at UC Berkeley.

There are a few more on the Physics 250 site.

9. Sep 5, 2009