Standard and Less Standard Asymptotic Methods - Lecture 7

Explore advanced asymptotic methods in mathematics through this lecture on "Standard and less standard asymptotic methods." Delve into techniques for evaluating infinite sums numerically and recognizing asymptotic patterns in number sequences. Learn about both standard approaches like the Euler-Maclaurin formula and less conventional methods. Examine practical examples, including a slowly convergent sum, expansion of an infinite product, and computation of a highly oscillatory series. Gain insights from speaker Don Zagier as he demonstrates how to tackle complex mathematical problems and obtain high-precision numerical results. Enhance your understanding of asymptotic analysis and its applications in various branches of mathematics.