Hi Alex, I am a big fan of this site and have been for quite some time. I am a sophomore in high school and am fairly gifted in mathematics. My classes, although at the highest level my school provides, bore me out of my mind. I have a genuine desire to explore math, but it will obviously not come from my school. Your site has been very stimulating and encouraging, and I would like to know if there are any other sites you could recommend.

Thanks!

jman_red

>Hi Alex, I am a big fan of this site and have been for quite
>some time. I am a sophomore in high school and am fairly
>gifted in mathematics. My classes, although at the highest
>level my school provides, bore me out of my mind. I have a
>genuine desire to explore math, but it will obviously not
>come from my school. Your site has been very stimulating
>and encouraging, and I would like to know if there are any
>other sites you could recommend.
>

Thank you for the kind words. I have a collection of links I think are good at

http://www.cut-the-knot.com/collection.shtml

In almost all of them you will find further links you may want to follow. If you do, you shall probably run into MathPages more than once.

Thanks!

Keep up the good work!

jman_red

Keep going Alex - i'm English and have no idea of what your level of maths is in the US - so one of these links may be a bit too advanced.

I would recommend:

-http://www.nrich.maths.org

This is a maths website with a similar board to this one.

It has monthly problems of varying difficulty and caters for all abilities. The board also has admins from the University of Cambridge who are qutie wise in all things math.

-http://mathworld.wolfram.com/

This is a website containing hundreds of article varying very greatly in difficulty.

Some can be very useful and are quite simple - such as an introduction to complex numbers and calculus. But these can get very difficult very quickly.

If you are hoping to apply for a very good college, reading some of these may aid you in your interview .

There you go, and i better introduce myself.

I'm Chris, just turned 16 from North England with an interest in maths

Hello jman_red, sorry this reply is a bit late, but I haven't visited this site for a while. If you are still looking for some good links to math sites, you might want to check out the following:

The American Mathematical Society: www.ams.org
Classic Fallacies (some interesting proofs): www.math.toronto.edu/mathnet/falseProofs/fallacies.html
Fibonacci Numbers: www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html
MacTutor History of Mathematics: http://gap.dcs.st-and.ac.uk/~history/index.html
MATH-abundance: www.ping.be/~ping1339
Mathematics Archives: http://archives.math.utk.edu/topics/
MathPages: www.mathpages.com
The Pi Pages: www.cecm.sfu.ca/pi/pi.html
The Prime Pages: www.utm.edu/research/primes/
The Statistics Homepage: www.statsoft.com/textbook/stathome.html

You should be able to find about anything you are interested in within these pages. I also have a collection of links to a number of good chaos theory sites. If this is one of your areas of interest please let me know and I'll pass those links along also. Hope the ones listed above are helpful. Best of luck in all your mathematical pursuits!

Thanks for the links, Nate.
By all means, feel free to pass along the chaos theory sites, either by e-mail or post. I have been interested in chaos theory a long time.

I feel like I should offer some links in return, so if you have any interset in quantum theory, let me know.

jman_red

As requested, here are some good links to various sites on the interrelated topics of chaos theory, complex systems, nonlinear dynamics and fractal geometry. I found these sites to provide a solid introduction to the subjects while keeping the mathematical aspects straightforward and manageable. Hope you find these interesting and useful.

http://amath.colorado.edu/faculty/jdm - Professor James D. Meiss Homepage
http://www-chaos.umd.edu - Chaos at Maryland
http://www.duke.edu/~mjd/chaos/chaosp.html, An Introduction to Chaos Theory and Fractal Geometry
http://hypertextbook.com/chaos/ - The Chaos Hypertextbook
http://www.imho.com/grae/chaos/chaos.html - Chaos Theory: A Brief Introduction
http://www.imho.com/grae/chaos/fraction.html - Math and Real Life: A Brief Introduction to Fractal Dimensions
http://math.bu.edu/DYSYS/ - The Dynamical Systems and Technology Project at Boston University
http://www.mathjmendl.org/chaos/ - Chaos Theory and Fractals
http://order.ph.utexas.edu/index.html - The Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems