By R. Wong
Asymptotic tools are usually utilized in many branches of either natural and utilized arithmetic, and this vintage textual content continues to be the main up to date booklet facing one vital point of this region, particularly, asymptotic approximations of integrals. In Asymptotic Approximations of Integrals , all effects are proved conscientiously, and plenty of of the approximation formulation are observed by way of blunders bounds. an intensive dialogue on multidimensional integrals is given, and references are supplied. Asymptotic Approximations of Integrals comprises the "distributional method," which isn't to be had in other places. many of the examples during this textual content come from concrete functions.
Since its e-book twelve years in the past, major advancements have happened within the normal thought of asymptotic expansions, together with smoothing of the Stokes phenomenon, uniform exponentially superior asymptotic expansions, and hyperasymptotics. those new innovations belong to the world referred to now as "exponential asymptotics." Expositions of those new theories are available papers released in a variety of journals, yet now not but in e-book shape.
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Asymptotic approximations of integrals by R. Wong