{"product_id":"9780817641702","title":"Dimensionality Reducing Expansion of Multivariate Integration","description":"\u003ch1\u003eDimensionality Reducing Expansion of Multivariate Integration\u003c\/h1\u003e \u003ch2\u003eHe, Tian-Xiao\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eMultivariate 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. \u003c\/p\u003e\n\u003cp\u003eKey features of this self-contained monograph include: \u003c\/p\u003e\n\u003cp\u003e* fine exposition covering the history of the subject \u003c\/p\u003e\n\u003cp\u003e* up-to-date new results, related to many fields of current research such as boundary element methods for solving PDEs and wavelet analysis \u003c\/p\u003e\n\u003cp\u003e* presentation of DRE techniques using a broad array of examples \u003c\/p\u003e\n\u003cp\u003e* good balance between theory and application \u003c\/p\u003e\n\u003cp\u003e* coverage of such related topics as boundary type quadratures and asymptotic expansions of oscillatory integrals \u003c\/p\u003e\n\u003cp\u003e* excellent and comprehensive bibliography and index \u003c\/p\u003e\n\u003cp\u003eThis 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2001-03-30\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780817641702\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4612-2100-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 227\u003c\/p\u003e ","brand":"Birkhäuser Boston","offers":[{"title":"Default Title","offer_id":46545848991884,"sku":"9780817641702","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780817641702.jpg?v=1775786396","url":"https:\/\/lateknightbooks.com\/products\/9780817641702","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}