{"product_id":"9783662656914","title":"Geosystems Mathematics: A Scalar, Vectorial, and Tensorial Setup","description":"\u003ch1\u003eGeosystems Mathematics: A Scalar, Vectorial, and Tensorial Setup\u003c\/h1\u003e \u003ch2\u003eFreeden, Willi; Schreiner, Michael\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cp\u003eThis book is an enlarged second edition of a monograph published in the Springer AGEM2-Series, 2009. It presents, in a consistent and unified overview, a setup of the theory of spherical functions of mathematical (geo-)sciences. The content shows a twofold transition: First, the natural transition from scalar to vectorial and tensorial theory of spherical harmonics is given in a coordinate-free context, based on variants of the addition theorem, Funk-Hecke formulas, and Helmholtz as well as Hardy-Hodge decompositions. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is given in close orientation to an uncertainty principle classifying the space\/frequency (momentum) behavior of the functions for purposes of data analysis and (geo-)application. The whole palette of spherical functions is collected in a well-structured form for modeling and simulating the phenomena and processes occurring in the Earth's system. The result is a work which, while reflecting the present state of knowledge in a time-related manner, claims to be of largely timeless significance in (geo-)mathematical research and teaching.\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2022-10-15\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783662656914\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-662-65692-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 729\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45587906297996,"sku":"9783662656914","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783662656914.jpg?v=1779058800","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783662656914","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}