January 8, 2009 – 8:03 pm
Hello Sir, I was in your algebra 3 course last year and found this blog useful so I was hoping you could provide me with some assistance on the following problem from my Theory of Numbers Course. How would you show that Sigma(1/p^2) is less that or equal to 1. Where p is a prime. [...]
August 29, 2008 – 3:58 pm
Because of a rather hectic travel schedule, I was slow in putting up the reports that were submitted assiduously by Zhe and Alex. I apologize. Zhe’s reports on the book `Riemann’s Zeta Function’ by Edwards: Zhe’s report 4 Zhe’s report 5 Zhe’s report 6 Zhe’s report 7 Alex’s reports on elliptic curves: Points of finite [...]
December 3, 2007 – 12:21 pm
Hi Sir! Sorry for this very elementary question. I want to ask about Analysis 1101 Topic: Limits of functions. What’s the difference between the these two definitions? 1) Say lim f(x)= L as x→b‾. If given ε>0, we can find δ>0 such that when b-δ< x <b =>│f(x)-L│< ε. 2) Assume f(x) is defined in [...]
November 30, 2007 – 5:36 pm
It occurred to me that the previous post might have given the wrong impression, for example, that you need to understand the article on the Chinese remainder theorem for the exam. This was far from my intention. I hope it’s obvious that they are actually recommended either for your general amusement, or if you wish [...]
November 29, 2007 – 3:37 pm
Three articles available on my website discuss topics that may be of interest to my current students. But they’re a bit hidden, so I’m adding links here. Comments on the Chinese remainder theorem Some matrix groups Why everyone should know number theory All three are a bit dated and many sentiments expressed there (especially in [...]
November 29, 2007 – 3:16 pm
While conversing with Acyr Locatelli about the textbook on linear algebra, I ended up elaborating a bit on the author Serge Lang, who was mentioned earlier as the supervisor for my Ph.D. thesis. I thought therefore to provide links to two articles that appeared in the Notices of the American Mathematical Society a short while [...]
