Recent content by lucid_dream

In my opinion, topology is confusing. In particular, I feel that many of the proofs to theorems require a high degree of creativity, and they are not always intuitive. In your opinion, if I find topology confusing, I don't have the right prereqs or maturity. But I do have the right prereqs, as I...

I would recommend taking the subject test GRE in mathematics. A friend of mine scored in the 80 percentile and got rejected from nearly every school he applied to except Dartmouth. He had a 4.0 gpa, published a paper in topology and took many graduate classes. Granted, they were all top 20...

Most mathematicians don't say if things exist or not. They define objects and axioms, and turn the wheel to further the math of these objects. For example, I can define a shoe space to be a pair of collection of sets (A,B) such that any set in A is equal to the union of sets in B. But no set in...

PHD in BioPhysics... To tell you guys a little bit about myself, I am an undergraduate student at an average university (like in your top 70 for undergraduate programs). By the time I will be 22, I will have graduated with 2 masters (one in math, one in physics), three majors (math, physics...

Most people would advise you to study Calculus. It builds intuition for analysis ("calculus done right"). However, I would recommend studying a little bit of topology and set theory as well. The earlier you learn these subjects, the better of you will be in the future. I find I learn the most...