Dimensionality Reducing Expansion of Multivariate Integration (Hardcover, 2001 ed.)

Multivariate integration has been a fundamental subject in mathematics, with broad connections to a number of areas: numerical analysis, approximation theory, partial differential equations, integral equations, harmonic analysis, etc. In this work the exposition focuses primarily on a powerful tool that has become especially important in our computerized age, namely, dimensionality reducing expansion (DRE). The method of DRE is a technique for changing a higher dimensional integration to a lower dimensional one with or without remainder. To date, there is no comprehensive treatment of this subject in monograph or textbook form.

Key features of this self-contained monograph include:

* fine exposition covering the history of the subject

* up-to-date new results, related to many fields of current research such as boundary element methods for solving PDEs and wavelet analysis

* presentation of DRE techniques using a broad array of examples

* good balance between theory and application

* coverage of such related topics as boundary type quadratures and asymptotic expansions of oscillatory integrals

* excellent and comprehensive bibliography and index

This work will appeal to a broad audience of students and researchers in pure and applied mathematics, statistics, and physics, and can be used in a graduate/advanced undergraduate course or as a standard reference text.

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Release date:	March 2001
First published:	2001
Authors:	Tian-Xiao He
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Hardcover
Pages:	227
Edition:	2001 ed.
ISBN-13:	978-0-8176-4170-2
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis
LSN:	0-8176-4170-X
Barcode:	9780817641702

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