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000843612 019__ $$a1040592674
000843612 020__ $$a9783319571812$$q(electronic book)
000843612 020__ $$a3319571818$$q(electronic book)
000843612 020__ $$z9783319571799
000843612 0247_ $$a10.1007/978-3-319-57181-2$$2doi
000843612 035__ $$aSP(OCoLC)on1040653429
000843612 035__ $$aSP(OCoLC)1040653429$$z(OCoLC)1040592674
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000843612 049__ $$aISEA
000843612 050_4 $$aQB283
000843612 08204 $$a526.1$$223
000843612 24500 $$aHandbook of Mathematical Geodesy :$$bFunctional Analytic and Potential Theoretic Methods /$$cWilli Freeden, M. Zuhair Nashed, editors.
000843612 264_1 $$aCham :$$bSpringer International Publishing :$$bImprint: Birkhäuser,$$c2018.
000843612 300__ $$a1 online resource (xiv, 932 pages) :$$billustrations.
000843612 336__ $$atext$$btxt$$2rdacontent
000843612 337__ $$acomputer$$bc$$2rdamedia
000843612 338__ $$aonline resource$$bcr$$2rdacarrier
000843612 4901_ $$aGeosystems Mathematics,$$x2510-1544
000843612 500__ $$aWritten by leading experts, this book provides a clear and comprehensive survey of the "status quo" of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today's least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.
000843612 504__ $$aIncludes bibliographical references and index.
000843612 5050_ $$aIntroduction -- Gauss as Scientific Mediator between Mathematics and Geodesy from the Past to the Present -- An Overview on Tools from Functional Analysis -- Operator-Theoretic and Regularization Approaches to Ill-Posed Problems -- Geodetic Observables and Their Mathematical Treatment in Multiscale Framework -- The Analysis of Geodetic Boundary Value Problem: State and Perspectives -- Oblique Stochastic Boundary Value Problem -- About the Importance of the Runge-Walsh Concept for Gravitational Field Determination -- Geomathematical Advances in Satellite Gravity Gradiometry -- Parameter Choices for Fast Harmonic Spline Approximation -- Gravimetry as an Ill-Posed Problem in Mathematical Geodesy -- Gravimetry and Exploration -- On the Non-Uniqueness of Gravitational and Magnetic Field Data Inversion -- Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods -- Spherical Potential Theory: Tools and Applications -- A combination of Downward Continuation and Local Approximation for Harmonic Potentials -- Joint Inversion of Multiple Observation.
000843612 506__ $$aAccess limited to authorized users.
000843612 650_0 $$aGeodesy$$xMathematics.
000843612 7001_ $$aFreeden, W.,$$eeditor.
000843612 7001_ $$aNashed, M. Zuhair,$$eeditor.
000843612 77608 $$iPrint version: $$z9783319571799
000843612 830_0 $$aGeosystems Mathematics.
000843612 852__ $$bebk
000843612 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-57181-2$$zOnline Access$$91397441.1
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