Learn to apply asymptotic methods as an alternative to exact and numerical methods, using the Wolfram Language. Class examples cover differential equations, integrals, difference and algebraic equations, sums of infinite series.
Summary
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 the Wolfram Language to solve hard problems that cannot be solved exactly.
Featured Products & Technologies: Mathematica, Wolfram Language
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
Summary
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 the Wolfram Language to solve hard problems that cannot be solved exactly.
Featured Products & Technologies: Mathematica, Wolfram Language
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