Recent content by ilikegroupreps

Homework Statement I'm studying for my final exam and came across this problem: Let f and g be entire analytic functions and |f(z)|<|g(z)| when |z|>1. Show that f/g is a rational function. The Attempt at a Solution I really have no clue where to go :(

I really don't like it either. Even though I'm only an undergrad, I am taking a graduate course at a large state university very well known for math. The environment is competitive and everyone seems to be worried more about doing better/worse than other people than their own personal...

Taking both analysis and algebra as a freshman seems a bit daunting. Have you had exposure to more abstract math/proof writing before hand? Before analysis/algebra, I had taken an abstract linear algebra class (which surely helps in an abstract algebra class) and introduction to number theory...

The idea of a class with loose deadlines or optional assignments sounds amazing. But I can tell you that when put into practice, it hardly works. I'm in an advanced undergraduate course right now in Algebraic Topology which only has about 9 students. The professor wanted to make it more like an...

I personally kind of like it when math gets bunched in with arts. At my school math/physics is in "Natural Sciences", which is a different college from "Liberal Arts" and "Engineering". But if you think about it, the way a math major learns to think and the reasons why you learn are much closer...

I go to a large state university and I'm assuming that Penn State is not too different from where I go. Large state universities have a ton of perks which usually include great facilities and well known researchers in whatever field you're interested in. I have no doubt that doing well in your...

Hey -- I'm going! Which project are you doing?

Got an offer from Iowa State that I will probably take. Anyone else going?

Thanks for giving me your opinions about BSM. What sort of classes did you end up taking at BSM and how many students were in each? One thing about Math in Moscow that is really appealing to me is all the algebraic courses such as representation theory and algebraic geometry and that alone is...

haha I actually don't know either of them! But all the classes are taught in english in both programs.

Hey I have been accepted into both programs for the fall and am having a really hard time deciding which one to go to. Anyone have some input on this? Has anyone gone to both and can compare them? Thanks!

Anyone hear back from the Iowa State Math REU? Also, has anyone participated in this one or known someone who has have any comments about it?

Homework Statement It f is a meromorphic function with finite number of singularities, prove that the the principal part of the laurent series centered at a singularity has infinite convergence radius. Homework Equations f(z)=Ʃ(a_n)(z-z_j) where z_j is the singularity. Principal part =...

so the real part is x^2-y^2 and the imaginary part is 2xy

Homework Statement Assume that z_j is a sequence where j indexes from 1 to infinity are in the complex numbers such that the real part of z > 0. Is it true or false that if sum(z_j) and sum_((z_j)^2) both converge then sum(|z^j|^2) also converges? Homework Equations The Attempt at...