portada dimensionality reducing expansion of multivariate integration (en Inglés)

dimensionality reducing expansion of multivariate integration (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Idioma

Inglés

N° páginas

225

ISBN

081764170X

ISBN13

9780817641702

Categorías

Fundamentos matemáticos

dimensionality reducing expansion of multivariate integration (en Inglés)

He (Autor) · Springer · Libro Físico

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Reseña del libro "dimensionality reducing expansion of multivariate integration (en Inglés)"

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.