{"product_id":"spherical-functions-of-mathematical-geosciences-von-willi-freeden-und-michael-schreiner","title":"Spherical Functions of Mathematical Geosciences","description":"\n                                \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                                \n                \u003cp\u003e\n                                        \n                    \u003cbr\u003e\n                                    \n                \u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783662656914\"\u003e\u003ch3\u003eA Scalar, Vectorial, and Tensorial Setup\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783662656945\"\u003e\u003ch3\u003eA Scalar, Vectorial, and Tensorial Setup\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783662656914","offer_id":47686961824069,"sku":"9783662656914","price":160.49,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783662656945","offer_id":47206279708997,"sku":"9783662656945","price":160.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/da620aca-e45f-4268-9a12-65b9bb84880d.jpg?v=1778131796","url":"https:\/\/shop.autorenwelt.de\/products\/spherical-functions-of-mathematical-geosciences-von-willi-freeden-und-michael-schreiner","provider":"Autorenwelt Shop","version":"1.0","type":"link"}