Standard and Less Standard Asymptotic Methods - Lecture 12

Explore advanced asymptotic methods in mathematics through this lecture on "Standard and less standard asymptotic methods" by Don Zagier from ICTP-MPIM-SISSA. 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, illustrated with numerous examples. Tackle challenging problems such as evaluating a slowly convergent sum to 250 decimal places, analyzing the asymptotic behavior of complex coefficient sequences, and computing highly oscillatory infinite series. Gain insights into solving intricate mathematical problems encountered across various branches of mathematics, enhancing your ability to work with asymptotic analysis and numerical evaluation of complex mathematical expressions.