Graduate Programs
Graduate Home
Ph D Programs
Masters Degree
Ph D Program Requirements
Course Descriptions
Current Courses
Admissions
Current Graduate Students
Graduate Student Seminar
SIAM Chapter Seminar
Recent Graduates
Incoming Students

Graduate Seminar
Brendan Sullivan Carnegie Mellon University Title: The Basel Problem Abstract: The Basel Problem was first posed in 1644 and remained open for 90 years, until Euler made his first waves in the mathematical community by solving it. During his life, he would present three different solutions to the problem, which asks for an evaluation of the infinite series \[\sum_{k=1}^\infty\frac{1}{k^2}\] Since then, people have continually looked for new, interesting, and enlightening approaches to this same problem. Here, we present N different solutions (where N is not to exceed 7 but is no less than 4), drawing from such diverse areas as complex analysis, calculus, probability, and Hilbert space theory. Along the way, we'll give some indication of the problem's intrigue and applicability. Date: Thursday, April 11, 2013 Time: 5:30 pm Location: Wean Hall 8220 Submitted by: Brian Kell 