Bernoulli Numbers and Polynomials
David Gaebler
Assistant Professor
Mathematics
Hillsdale College
Question: What do sums of powers have to do with approximations of factorials? Answer: Integration by parts. No, really! In this talk we will see how a clever use of standard calculus techniques leads to the Euler-Maclaurin formula, a powerful way of connecting sums to integrals, and how this formula solves several classic problems.