Download E-books Asymptotic Approximation of Integrals (Classics in Applied Mathematics) PDF

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 ebook facing one vital point of this sector, particularly, asymptotic approximations of integrals. during this e-book, all effects are proved carefully, and lots of of the approximation formulation are followed through blunders bounds. a radical dialogue on multidimensional integrals is given, with references supplied. Asymptotic Approximations of Integrals includes the 'distributional method', no longer on hand somewhere else. many of the examples during this textual content come from concrete functions. due to the fact its ebook twelve years in the past, major advancements have happened within the common idea of asymptotic expansions, together with smoothing of the Stokes phenomenon, uniform exponentially stronger asymptotic expansions, and hyperasymptotics. those new thoughts belong to the world referred to now as 'exponential asymptotics'. Expositions of those new theories come in papers released in a number of journals, yet no longer but in ebook shape.

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