Dimensionality Reducing Expansion of Multivariate Integration

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.