Asymptotic Approximations of Integrals: Computer Science and Scientific Computing - Couverture souple

Wong, R.

 
9781483207285: Asymptotic Approximations of Integrals: Computer Science and Scientific Computing

Présentation de l'éditeur

Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In this book, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, with references provided. Asymptotic Approximations of Integrals contains the 'distributional method', not available elsewhere. Most of the examples in this text come from concrete applications. Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as 'exponential asymptotics'. Expositions of these new theories are available in papers published in various journals, but not yet in book form.

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Autres éditions populaires du même titre

9780127625355: Asymptotic Approximations of Integrals

Edition présentée

ISBN 10 :  0127625356 ISBN 13 :  9780127625355
Editeur : Academic Press Inc, 1989
Couverture rigide