By R. Wong
Asymptotic tools are often utilized in many branches of either natural and utilized arithmetic, and this vintage textual content continues to be the main updated publication facing one vital element of this quarter, particularly, asymptotic approximations of integrals. during this publication, all effects are proved conscientiously, and plenty of of the approximation formulation are followed by means of blunders bounds. an intensive dialogue on multidimensional integrals is given, with references supplied. Asymptotic Approximations of Integrals includes the 'distributional method', no longer to be had somewhere else. many of the examples during this textual content come from concrete purposes. considering the fact that its booklet twelve years in the past, major advancements have happened within the normal concept of asymptotic expansions, together with smoothing of the Stokes phenomenon, uniform exponentially superior asymptotic expansions, and hyperasymptotics. those new thoughts belong to the realm referred to now as 'exponential asymptotics'. Expositions of those new theories are available papers released in numerous journals, yet no longer but in publication shape.
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