Saturday, September 16, 2006
Great Essay on Poincaré conjecture
Hello all, I am back from an exhausting summer in Princeton. I tell everyone that I come back to teach to take it easy.
Here is a great article on the Poincare conjecture from New Yorker magazine.
Steve Sigur
Monday, June 6, 2005
from Steve Sigur
This post gives the standard books we think are good to have for the purpose of getting better at this type of math.
Standard books and references to be done first.
Art of Problem Solving -- this is a web site at a set of books, both useful http://www.artofproblemsolving.com/
soga3, the Secrets of Ga Web site
As always, the username and password are
Username: arml
Password: soga3
[Mnemonic: "Secrets Of Georgia Arml 3"]
More
Sunday, June 5, 2005
from Wes Brown
There is an excellent website that contains various
problems ranging from pre-olympiad (such as AIME) to
international olympiad (IMO).
-Wes
Saturday, June 4, 2005
from Chuck Garner
Following on from Steve's mailing, I'd like to point out a few more interesting books.
In addition to Yaglom's "Geometric Transformations" there are also two geometry books I have found to be intriguing, both published by the Mathematical Association of America:
-- "Geometry Revisited" by Coxeter and Greitzer, which builds upon high school Euclidean geometry. In particular, there is a nice proof of Stewart's Theorem and Menelaus' Theorem, and interesting results on excircles and
Friday, June 3, 2005
from Adam Marcus
I, too, would like to congratulate everyone on doing so well.
As for books, I definitely agree with "Art to Problem Solving".
"Problem Solving Strategies" is also good, but is directed more towards "proof-oriented" questions like a really hard Power Question. If that is what you are looking for, you should also check out
"Winning Solutions" by Edward Lozansky and Cecil Rousseau
Finally, for those REALLY interested in geometry, "Geometry Revisited" by Coxeter and Greitzer is a good place