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Standard and Less Standard Asymptotic Methods - Lecture 7

Offered By: ICTP Mathematics via YouTube

Tags

Mathematics Courses Number Theory Courses Complex Analysis Courses Infinite series Courses Numerical Analysis Courses Mathematical Physics Courses Euler-Maclaurin formula Courses

Course Description

Overview

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.

Syllabus

SISSA/IGAP/SUSTech Lecture on "Standard and less standard asymptotic methods" Lecture 7


Taught by

ICTP Mathematics

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