Asymptotics: The Art of Approximation

Course Overview

This video class introduces asymptotics as an alternative to exact and numerical methods. The class opens with some historical notes and explains how asymptotic methods can be useful. Examples shown include applications for the solution of differential equations, integrals, difference and algebraic equations and the computation of sums of infinite series. Learn how to use the built-in asymptotic functions in Wolfram Language to solve hard problems that cannot be solved exactly.

Featured Products & Technologies: Wolfram Language (available in Mathematica and Wolfram|One)

You'll Learn To

  • Distinguish asymptotics from exact and numerical methods
  • Apply asymptotic methods to differential equations and integrals
  • Solve difference and algebraic equations using asymptotic functions
  • Compute sums of infinite series