Recent content by EbolaPox

Ah, that is actually my problem. I can't claim there exists a (a) \subset (c) . I have that [tex ] (a) [/tex] is contained in a maximal ideal. If my ring were a PID, I could claim that it is in a principal ideal generated by c, and I have a theorem that says that tells us c would be...

Yes. I am familiar with that result. That's in fact the only thing I know about UFD's besides the definition of a UFD. However, I know that my integral domain in question is not a UFD and hence cannot be a PID. Can I adjust the proof they use to show a principal ideal domain is a UFD to...

Thanks for the suggestion! Unfortunately I'm not yet familiar with Noetherian domains, so I'm not too sure how to apply that to the problem.

Homework Statement Consider the integral domain a + b \sqrt{10} . Show that every element can be factored into a product of irreducibles, but this factorization need not be unique. Homework Equations The Attempt at a Solution I know that this is not a unique factorization...

I was in the Matrix and Wavelets analysis group at A&M in Summer 2009. It was a lot of fun, but be prepared to do a good amount of work. It can be quite independent also, so you can be free to work on whatever you want. It's a great experience, and if you work hard enough, you can get a paper...

Hi there. I actually go to FAU's Honors College. I'm a Math and Physics double major (senior) so I can give you a bit of advice on it. You sound similar to me( I had good SATs, tons of AP, reading Apostol and things like that in High School). I chose the Honors College because it was close to...

Here are a few books I used that I really liked and I think are suitable for self-study. If you want a nice, easy introduction to real analysis, I recommend Elementary Analysis by Ross. This is below the level of Rudin's Principles of Mathematical Analysis, but it's easy for self-study. It...

I'm applying for graduate programs in pure math. I'm not too sure what to write for a statement of purpose. I am very interested in functional analysis and I have done an REU work that involved with that subject and is being submitted for publication. I figure I should include those, but I'm not...

Homework Statement Hi everyone, I'm new to using MATLAB and had a quick question. I'm trying to write a function such that my input into it is a number, say n, and it produces an n by n matrix with symbolic variables with names of the form aij , where i and j are numbers that refer to its row...

Hi, I'm going to be entering my senior year of undergrad and I'm pursuing a math and physics degree. I've got a good, high GPA, and really enjoy all of the math classes I've been in. Physics, however (especially particle physics and classical mechanics) were not so enjoyable. With respect to...

Somehow this thread got reborn from 2 years ago. As for the person curious to how I'm doing, I'm going into my senior year, still with math and physics double major. I far prefer math over physics, but now I'm stuck at the question of whether I want to continue onto pure math grad school. I have...

The definition of Cauchy sequence does not just say |a_n - a_{n+1}| < \epsilon . It says that for each \epsilon > 0 there exists an integer N such that |a_n - a_m| < \epsilon for all n,m > N. So, you can't just look at n and n+1. It's got to work for EVERY m and n greater than or...

Homework Statement I'm using the textbook "Nonlinear Dynamics and Chaos" by Strogratz. So far, it's been terrific. However, I got to the section on the Lorenz attractor and got stuck. The author has a picture and an explanation that eludes me. The picture in question can be seen on this...

Good info everyone, thank you! I didn't know about Vanderbilt, so I checked it out and it looks good. I'm also glad Texas A&M is good, as I got an REU there. Thanks for the operator algebras resources and links! I will be checking out Conway's book and Rudin's book, as recommended. Thanks...

Thanks for the replies thus far everyone, and thanks to JasonJo for the book recommendation, I'm going to try to pick that one up in my library. Although top 10 programs are nice, I'm more interested in top 50s, as I don't want to gamble and just apply to top 10s! Also, I checked out the people...