Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods /
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 appr...
| Main Authors: | , |
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| Format: | text |
| Language: | eng |
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Cham : Springer International Publishing : Imprint: Birkhäuser,
2018
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| Subjects: |
| _version_ | 1826469149953490944 |
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| author | Freeden, Willi, editor 632847 Nashed, M. Zuhair, editor 424017 |
| author_facet | Freeden, Willi, editor 632847 Nashed, M. Zuhair, editor 424017 |
| author_sort | Freeden, Willi, editor 632847 |
| collection | OCEAN |
| description | 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. |
| first_indexed | 2024-03-05T16:29:04Z |
| format | text |
| id | KOHA-OAI-TEST:559188 |
| institution | Universiti Teknologi Malaysia - OCEAN |
| language | eng |
| last_indexed | 2024-03-05T16:29:04Z |
| publishDate | 2018 |
| publisher | Cham : Springer International Publishing : Imprint: Birkhäuser, |
| record_format | dspace |
| spelling | KOHA-OAI-TEST:5591882021-08-03T03:13:34ZHandbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods / Freeden, Willi, editor 632847 Nashed, M. Zuhair, editor 424017 textCham : Springer International Publishing : Imprint: Birkhäuser,2018.©2018engWritten 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.Includes bibliographical references and index.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.PSZ_JBGeophysicsHarmonic analysisDifferential equations, PartialAbstract Harmonic AnalysisGeophysics/ GeodesyPartial Differential EquationsURN:ISBN:9783319571799 |
| spellingShingle | Geophysics Harmonic analysis Differential equations, Partial Abstract Harmonic Analysis Geophysics/ Geodesy Partial Differential Equations Freeden, Willi, editor 632847 Nashed, M. Zuhair, editor 424017 Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods / |
| title | Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods / |
| title_full | Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods / |
| title_fullStr | Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods / |
| title_full_unstemmed | Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods / |
| title_short | Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods / |
| title_sort | handbook of mathematical geodesy functional analytic and potential theoretic methods |
| topic | Geophysics Harmonic analysis Differential equations, Partial Abstract Harmonic Analysis Geophysics/ Geodesy Partial Differential Equations |
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