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Handbook of mathematical geodesyfunc...

Freeden, Willi.

Handbook of mathematical geodesyfunctional analytic and potential theoretic methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Handbook of mathematical geodesyedited by Willi Freeden, M. Zuhair Nashed.
Reminder of title:	functional analytic and potential theoretic methods /
other author:	Freeden, Willi.
Published:	Cham :Springer International Publishing :2018.
Description:	xiv, 932 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	GeodesyMathematics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-57181-2
ISBN:	9783319571812$q(electronic bk.)

Handbook of mathematical geodesyfunctional analytic and potential theoretic methods /
Handbook of mathematical geodesyfunctional analytic and potential theoretic methods /[electronic resource] :edited by Willi Freeden, M. Zuhair Nashed. - Cham :Springer International Publishing :2018. - xiv, 932 p. :ill., digital ;24 cm. - Geosystems mathematics,2510-1544. - Geosystems mathematics..

Introduction -- 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.

Written 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.

ISBN: 9783319571812$q(electronic bk.)

Standard No.: 10.1007/978-3-319-57181-2doiSubjects--Topical Terms:

275440
Geodesy
--Mathematics.

LC Class. No.: QB283 / .H363 2018

Dewey Class. No.: 526.1

Handbook of mathematical geodesyfunctional analytic and potential theoretic methods /
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505 0 $a Introduction -- 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.
520 $a Written 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.
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