Standard and Less Standard Asymptotic Methods - Lecture 11

Explore advanced asymptotic methods in this SISSA/IGAP lecture on "Standard and less standard asymptotic methods." Delve into techniques for evaluating infinite sums numerically and recognizing asymptotic patterns in number sequences. Learn both standard approaches like the Euler-Maclaurin formula and less conventional methods, illustrated through diverse examples. Tackle challenging problems such as evaluating a slowly convergent sum to 250 decimal places, analyzing the asymptotic behavior of complex series coefficients, and computing highly oscillatory infinite series for large real numbers. Gain valuable insights into mathematical problem-solving and expand your toolkit for handling complex asymptotic problems in various branches of mathematics.