Friday, July 17, 2009

Moebius transformation

Moebius transformation of the plane is a rational function of the form
f(z)=(az+b)/(cz+d)
The variable z and the coefficients a, b, c, d are complex numbers satisfying ad − bc ≠ 0. Moebius transformations are named in honor of August Ferdinand Moebius.

Here is a short movie depicting the beauty of Moebius Transformations in mathematics, it shows how moving to a higher dimension can make the transformations easier to understand.

Thursday, July 16, 2009

The Key to the Cosmos

Prof. Jim Al-Khalili investigates the atom by looking at radioactivity, the Atom Bomb and the Big Bang, and even why we are here and how we were made. He shows that, in the quest to understand the atom, the mystery of how the entire universe was created became revealed.