Recent content by hansenscane

I could chalk up what I'm about to describe to you as me simply being an "evening person", but I'm interested in whether the following is a well known phenomenon, very common, and or simply trivial and unimportant. A bit of background info: I am between the ages of 15 and 20. I love math. I...

I am in a somewhat similar situation (being a high school student who studies and does so called "advanced mathematics" due to my own intrinsic love of the subject). I am not a prodigy, seeing as I only gained a love for mathematics at around the age of 14/15 (when I started doing it on my own)...

Does anyone know what the Asian characters on this book mean? Why are they there?

Thanks you guys, that cleared a lot up. :smile:

I'm new to manifolds, so please forgive me if this sounds ignorant. I was just wondering whether the charts of a smooth manifold (within some atlas) always "overlap". If I'm not mistaken they map to open subsets of R^n, and being homeomorphisms should have the inverse image as open. But I'm not...

Thank you very much.

The prime number theorem describes the distribution of the prime numbers, in a sense. Are there other prime number theorems corresponding the asymptotic distributions of primes in other arithmetic progressions containing infinitely many primes? I was just wondering.