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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.
Produkteigenschaften
- Artikelnummer: 9780817641702
- Medium: Buch
- ISBN: 978-0-8176-4170-2
- Verlag: Birkhauser Boston
- Erscheinungstermin: 30.03.2001
- Sprache(n): Englisch
- Auflage: 2001. Auflage 2001
- Produktform: Gebunden
- Gewicht: 476 g
- Seiten: 227
- Format (B x H x T): 162 x 242 x 19 mm
- Ausgabetyp: Kein, Unbekannt