Advanced mathematics?

January 29, 2009

You can see the non-critical zeros a few times

You can see the non-critical zeros a few times

Just started to re-read Karl Sabbagh’s story of the development of the proof to Riemann’s hypothesis.  A student of Gauss, Riemann broke out later to make valuable contributions to mathemathetics, principally in higher dimensions and non-euclidean geometries (which are intrinsic tools in the development of quantum theory, which I love). 

Riemann’s hypothesis stipulates that there is a relationship between prime numbers and distribution of zeros in the zeta-function.  In number theory, the established method of working out when a prime would appear is done by Riemann’s method, but it is unproven to be true for all circumstances.  As such, this is probably the last great unproven conjecture in Mathematics (Fermat’s theorum proven a few years ago by Wiles).

The zeta function when plotted out

The zeta function when plotted out in the complex plane

     

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Then in thinking about mathematics, I remembered Nash’s game theory, which in turn jogged my memory on the very interesting monty hall problem, for which I found a good explanation in wiki. I must say i insisted on 50% when I first heard the problem.
Here’s the link.
Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: