Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods / Willi Freeden, M. Zuhair Nashed, editors.
Freeden, W., editor.; Nashed, M. Zuhair, editor.
2018
QB283
Available Online

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Title
Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods / Willi Freeden, M. Zuhair Nashed, editors.
ISBN
9783319571812 (electronic book)
3319571818 (electronic book)
9783319571799
DOI
https://doi.org/10.1007/978-3-319-57181-2
Published
Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
Language
English
Description
1 online resource (xiv, 932 pages) : illustrations.
Item Number
10.1007/978-3-319-57181-2 doi
Call Number
QB283
Dewey Decimal Classification
526.1
Note
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Added Author
Freeden, W., editor.
Nashed, M. Zuhair, editor.
Series
Geosystems Mathematics.
Available in Other Form
Print version: 9783319571799
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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.

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