Game theory of course has just about everything to do with computer science and AI.

And Economics, though many economists would (or do) deny the fact.

]]>I was going to add Knot Theory, but it seems even that has applications! (see http://en.wikipedia.org/wiki/Knot_theory)

Does knot!

hah.

Ricky wrote:

But as for Group theory, I believe it has applications in General Relativity, although that is just by reading it somewhere. And being very technical, group theory is involved in Galois theory which is extremely important when talking about the roots of polynomials of degree 5 or greater. But again, that would probably go under Galois theory rather than Group theory. Kind of hard to draw the line though.

Thanks, I'll need to read up on those topics!

]]>Now we can talk about things and communicate.

All studies of math or non-math subjects will help you in everyday life because we can draw from previous experiences we've had and jump to new conclusions or see similarities.

Hence, there is no waste of time.]]>

I was going to add Knot Theory, but it seems even that has applications! (see http://en.wikipedia.org/wiki/Knot_theory)

Does knot!

But as for Group theory, I believe it has applications in General Relativity, although that is just by reading it somewhere. And being very technical, group theory is involved in Galois theory which is extremely important when talking about the roots of polynomials of degree 5 or greater. But again, that would probably go under Galois theory rather than Group theory. Kind of hard to draw the line though.

]]>Image processing in software like Photoshop, for example compression and various image effects, require advanced topics like Fourier analysis and Wavelet analysis (a very complicated topic).

For example the new JPEG 2000 format for internet images is based on Wavelets. Here is some info:

http://en.wikipedia.org/wiki/Wavelet

http://en.wikipedia.org/wiki/JPEG_2000

Fractals are another advanced math topic with lots of applications. Here is a nice list of these:

http://library.thinkquest.org/26242/full/ap/ap.html

And of course a great deal of advanced mathematics is used in engineering, for example Partial Differential Equations, Tensor Calculus (e.g. in fluid dynamics), and some Complex Analysis (in circuit analysis).

As for purely theoretical math.. well I have so far never seen any applications of Group Theory for example. But it probably does...

I was going to add Knot Theory, but it seems even that has applications! (see http://en.wikipedia.org/wiki/Knot_theory)

]]>Abstract algebra can be applied to advanced physics such as general relativity and the standard particles of physics. It also has a great deal of uses in string theory, although we are still waiting to hear whether string theory is a good model of our universe.

Functional analysis I believe is used in the encoding of sound waves for computers, although I am unsure of this.

Game theory of course has just about everything to do with computer science and AI.

]]>Regarding purely theorical (no real world use) math... does such a thing exist?

im a newbie with advanced math, but im getting more and more interested.

Any replies will be appreciated.

*Post moved to Euler Avenue - Ricky*