By R. Wong
Asymptotic tools are usually utilized in many branches of either natural and utilized arithmetic, and this vintage textual content is still the main updated publication facing one very important point of this zone, particularly, asymptotic approximations of integrals. during this publication, all effects are proved conscientiously, and plenty of of the approximation formulation are followed through errors bounds. a radical dialogue on multidimensional integrals is given, with references supplied. Asymptotic Approximations of Integrals includes the 'distributional method', now not on hand in different places. many of the examples during this textual content come from concrete purposes. seeing that its book twelve years in the past, major advancements have happened within the basic thought of asymptotic expansions, together with smoothing of the Stokes phenomenon, uniform exponentially enhanced asymptotic expansions, and hyperasymptotics. those new recommendations belong to the realm referred to now as 'exponential asymptotics'. Expositions of those new theories come in papers released in a variety of journals, yet no longer but in publication shape.
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