I originally meant for this blog to be an outlet of some topics in math that happened to be a bit too abstract for the general audience. After all, it would have made little sense to post such topics on my main blog, which has a more diverse audience in mind.
This blog went pretty low on my priority list, especially as I got busier this year, but hey, we’re all busy, right? I might be posting sporadically on this blog in 2014, but the main action will be at the main blog (again). Happy Holidays!
Here are a number of misleading sequences. I have given the first few numbers of each sequence, and your mission, if you choose to accept it, is to guess the next number.
1. A Doubling Dilemma
1, 2, 4, 8, 16, ___?
Did you get 32 from doubling?
The answer is actually 31. Continue reading
I have added a page on the menu bar called Works. It simply lists some of the mathematical works I have done, and I intend to keep it as an updated math portfolio. The primary addition is my paper on the Riemann zeta function that I wrote last Spring for a complex analysis course, and also its corresponding presentation.
Over the winter break I self-studied Tom Apostol’s Introduction to Analytic Number Theory book and completed the first three chapters, as well as the majority of the fourth. I posted the solutions, in pdf format this time, to the Solutions page. I chose this subject because Cornell currently does not have any course on analytic number theory, though it does have a graduate course in algebraic number theory, which I am taking this semester. More of that information is in a post on my main blog.
As stated in that post, I am now a double major in mathematics and computer science. This semester I am also planning to take all my notes in real-time LaTeX, aka LiveTeXing, as someone pointed out. The notes I have uploaded to Scribd, as it is more organized there and easier to view at a glance. They should be uploaded by the end of the same day of each lecture. I may upload them directly to this blog as well for centralization.
Courses that I am LiveTeXing: CS 4820, CS 4850, Math 4340, Math 7370.
I am also taking CS 3410, but the professor is posting all the powerpoints online, so it would be redundant to LiveTeX it.