Math

[poopdeville]

I majored in math. It was fun in a mind bending kind of way. The course of study covered:

Introduction to Calculus
Introduction to Analysis
Multivariable Calculus I (Linear approximations to functions in any dimension)
Multivariable Calculus II (Stoke's theorem)
Linear algebra
Abstract algebra
Complex Analysis
Real Analysis
Mathematical logic
Differential geometry
Galois theory
Elliptic Curves

I wrote my thesis on "descriptive set theory", which is the theory generated by considering extensions to the Borel sigma-algebra for a topology on a Polish metric space. So, it was in the intersection of topology, set theory, measure theory, and mathematical logic.

Also, I had a lot of freedom in designing my course of study, so I ended up taking a lot of logic courses from the philosophy department.

[enkoujin]

I majored in math. It was fun in a mind bending kind of way. The course of study covered:

Introduction to Calculus
Introduction to Analysis
Multivariable Calculus I (Linear approximations to functions in any dimension)
Multivariable Calculus II (Stoke's theorem)
Linear algebra
Abstract algebra
Complex Analysis
Real Analysis
Mathematical logic
Differential geometry
Galois theory
Elliptic Curves

I wrote my thesis on "descriptive set theory", which is the theory generated by considering extensions to the Borel sigma-algebra for a topology on a Polish metric space. So, it was in the intersection of topology, set theory, measure theory, and mathematical logic.

Also, I had a lot of freedom in designing my course of study, so I ended up taking a lot of logic courses from the philosophy department.

You know, it turns out I'm one of those guys who's quite interested in maths.

Do you know any websites where I can obtain large volumes of this information that you have learned?

[Uchiha Barles]

You know, it turns out I'm one of those guys who's quite interested in maths.

Do you know any websites where I can obtain large volumes of this information that you have learned?

MIT has an open courseware site that offers a lot of free materials including class notes and assignments, though they don't provide textbooks.

http://ocw.mit.edu/index.htm

Also, look up "math complete" on a torrent site...

[Killa-Eyez]

About that, a friend of mine recommended a website with a lot of free material including math. I told him I was planning going back to school and he said that if I wanted to brush up on math that I'd visit this site: http://www.khanacademy.org/

It's a step-wise educational program and I think you can start anywhere you like.
I was told the inventor of the organization had ideals that education should be free and started out with some youtube vids.

Thought it might be useful.

[Uchiha Barles]

Oh yes, I saw the site creator on The Daily Show. I haven't checked out the site but from what we saw on the daily show, it seemed incredible. I'll check that out now.

[poopdeville]

You know, it turns out I'm one of those guys who's quite interested in maths.

Do you know any websites where I can obtain large volumes of this information that you have learned?

Websites... not really. You can sometimes find big packs of mathematics text books on the torrent sites.

Here is a list of books online. Oh, and the AMS had a series of free books in PDF format.

http://people.math.gatech.edu/~cain/...linebooks.html

Wikipedia is surprisingly good (especially in breadth), but its depth is limited.

I suggest getting Dover editions of math text books. Dover republishes older books and sells them at good prices. Also, Alibris.com is a good resource for used text books. I have bought books in good condition for as little as 99c. I can write up a list of good books if you want.