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Dimensionality Reducing Expansion of Multivariate Integration
49,60 €
Springer-Verlag New York Inc.
Sivumäärä: 227 sivua
Asu: Pehmeäkantinen kirja
Painos: Softcover reprint of
Julkaisuvuosi: 2011, 30.09.2011 (lisätietoa)
Kieli: Englanti
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.

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Dimensionality Reducing Expansion of Multivariate Integration
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ISBN:
9781461274148
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