Dimensionality Reducing Expansion of Multivariate Integration

By:

Tian-Xiao He

Format:

Hardback

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Description

Multivariate integration has been a fundamental subject in mathematics, with broad connections to a number of areas: numerical integration, partial differential equations and Green's functions, harmonic analysis, numerical analysis and approximation theory. In this work the exposition focuses primarily on a powerful tool which has become especially important in our computerized age, namely, dimensionality reducing expansion (DRE). The method of dimensionally reducing expansion (DRE) is a technique for changing a higher dimensional integration to a lower dimensional one with or without remainder. Key features of this monograph include: fine exposition covering the history of the subject; up-to-date new results; presentation of dimensionality reducing expansion (DRE) technique using broad array of examples, illustrations and problem sets; balance between theory and applications; coverage of such related topics as boundary type quadratures and asymptotic expansions of oscillatory integrals; bibliography and index; and broad appeal to mathematicians, statisticians and physicists.

Release date NZ

March 30th, 2001

Author

Tian-Xiao He

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Edition

2001 ed.

Illustrations

XI, 227 p.

Pages

227

Dimensions

156x234x14

ISBN-13

9780817641702

Product ID

5690254

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