9
votes
5answers
2k views

Complex Analysis applications toward Number Theory

I'm an undergrad who is taking a Complex Analysis Course mainly for its applications in number theory. So I would like to ask some guidelines about which theorems/concepts should I focus on in order ...
47
votes
32answers
9k views

Demystifying complex numbers

At the end of this month I start teaching complex analysis to 2nd year undergraduates, mostly from engineering but some from science and maths. The main applications for them in future studies are ...
-4
votes
1answer
453 views

Meaning of the Mobius transformations video [closed]

What is this video trying to tell us? http://www.youtube.com/watch?v=JX3VmDgiFnY The statement that fractional linear transformations correspond to rotations of the sphere under the stereographic ...
5
votes
1answer
2k views

How would You encourage graduate students to learn algebraic geometry and/or complex analysis?

Hello, I am the 3rd year undegraduate student of mathematics. After I obtain a bachelor degree I want to study maths at graduate level, especially algebraic geometry and complex analysis. This fields ...