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honkymahfah
2008-08-06, 01:45
I enjoy reading about the crazy things that happen when math is pushed to it's limits, and i was wondering if any of you know another website with similar content.

I doubt This would yield any results in Find it for me on the web, so im putting it here.

CaptainCanada
2008-08-06, 03:37
I wouldn't really describe anything that is posted on this forum as "math being pushed to its limits", for two reasons. The first is that most of the threads started in this forum are either basic questions, or idiotic combinations of numerology and mysticism (see the 'regulus space' thread for a recent and perfect example of this). The second reason is that the limits of math go REALLY far.

That being said, there are many forums on the internet which are dedicated specifically to math. A simple google search will yield several good ones. These tend to have a much higher average intelligence level in their posts, because they are not attached to website that attracts at least as many idiots as it does smart people.

Shadout Mapes
2008-08-06, 03:52
http://www.physicsforums.com/

honkymahfah
2008-08-06, 04:30
http://www.physicsforums.com/

thanks, exactly what i was looking for.

danreil
2008-08-06, 05:32
If your interested in advanced math being used in novel ways, but don't necessarily have the knowledge to understand all of it, I'd recommend some popular math books, which present the main topics in famous proofs, conjectures, or just certain math topics for a general audience.

Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics by John Derbyshire is a great book that goes through the history and development of the Prime Number Theorem leading to the Riemann Hypothesis, which is probably the most famous unsolved math problem right now.

Fermat's Engima by Simon Singh is about Fermat's Last Theorem and the recent proof of it by Andrew Wiles. This gives a good account of Fermat's Last Theorem, and considering the fact that the proof of it uses some of the most advanced math around today, you do get a fairly good idea of how it was proved by the Taniyama-Shimura Conjecture(well, now the Taniyama-Shimura Theorem), but you can't really get an idea of the math involved without some knowledge of algebraic number theory, not exactly something most of the public would know about, so naturally the book steers clear of the explicit math involved.

Lastly, I'd recommend The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry by Mario Livio. This book gives a fair introduction to group theory, and especially its relation to symmetry and its ubiquitous role in the world. After this it explain how group theory and abstract algebra was used by Galois to classify solutions of equations by radicals, and then amazingly how Niels Abel was able to prove by these methods that there is no general solution by radicals for equations of degree 5 and higher. (Like how the quadratic theorem gives all the solutions to a general quadratic equation, or one of degree 2, Abel showed this is impossible for degree 5 and higher). Also, this book gives biographies of Galois and Abel which are incredibly interesting, as these two men had two of the most tragic lives of all mathematicians.

There's many other books like these out there too, however I've read these three books and so I can give actual recommendations for them, and I definitely suggest trying them out if you have an interest in math, especially the Equation that Couldn't be Solved, as I think that's the best of the three.