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001450634 001__ 1450634
001450634 003__ OCoLC
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001450634 019__ $$a1347781347$$a1348490781
001450634 020__ $$a9783662656921$$q(electronic bk.)
001450634 020__ $$a3662656922$$q(electronic bk.)
001450634 020__ $$z9783662656914
001450634 020__ $$z3662656914
001450634 0247_ $$a10.1007/978-3-662-65692-1$$2doi
001450634 035__ $$aSP(OCoLC)1348692527
001450634 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dOCLCQ
001450634 049__ $$aISEA
001450634 050_4 $$aQE33.2.M3
001450634 08204 $$a550.151553$$223/eng/20221025
001450634 1001_ $$aFreeden, W.$$q(Willi),$$eauthor.$$1https://isni.org/isni/0000000117602639
001450634 24510 $$aSpherical functions of mathematical geosciences :$$ba scalar, vectorial, and tensorial setup /$$cWilli Freeden, Michael Schreiner.
001450634 250__ $$aSecond edition.
001450634 264_1 $$aBerlin, Germany :$$bBirkhäuser,$$c2022.
001450634 300__ $$a1 online resource :$$billustrations (black and white, and color).
001450634 336__ $$atext$$btxt$$2rdacontent
001450634 337__ $$acomputer$$bc$$2rdamedia
001450634 338__ $$aonline resource$$bcr$$2rdacarrier
001450634 4901_ $$aGeosystems mathematics
001450634 500__ $$aPrevious edition: 2009.
001450634 504__ $$aIncludes bibliographical references and index.
001450634 5050_ $$aBasic Settings and Spherical Nomenclature -- Scalar Spherical Harmonics -- Greens Functions and Integral Formulas -- Vector Spherical Harmonics -- Tensor Spherical Harmonics -- Scalar Zonal Kernel Functions -- Vector Zonal Kernel Functions -- Tensorial Zonal Kernel Functions -- Zonal Function Modeling of Earths Mass Distribution.
001450634 506__ $$aAccess limited to authorized users.
001450634 520__ $$aThis 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.
001450634 588__ $$aDescription based on print version record.
001450634 650_0 $$aEarth sciences$$xMathematics.
001450634 650_0 $$aSpherical functions.
001450634 655_0 $$aElectronic books.
001450634 7001_ $$aSchreiner, M.$$q(Michael),$$eauthor.$$1https://isni.org/isni/0000000118779882
001450634 77608 $$iPrint version:$$aFreeden, W. (Willi).$$tSpherical functions of mathematical geosciences.$$bSecond edition.$$dBerlin : Springer, 2022$$z9783662656914$$w(OCoLC)1338687595
001450634 830_0 $$aGeosystems mathematics.
001450634 852__ $$bebk
001450634 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-662-65692-1$$zOnline Access$$91397441.1
001450634 909CO $$ooai:library.usi.edu:1450634$$pGLOBAL_SET
001450634 980__ $$aBIB
001450634 980__ $$aEBOOK
001450634 982__ $$aEbook
001450634 983__ $$aOnline
001450634 994__ $$a92$$bISE