Handbook of Mathematical Geodesy
Functional Analytic and Potential Theoretic Methods
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Beschreibung
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.
Shows how modern mathematics acts as a key technology in today’s geodesy
Bridges “real world” observational as well as satellite techniques and “virtual world” modeling as well as simulation
Comprises high-level contributions from worldwide recognized researchers in mathematics and geodesy
Shows how modern mathematics acts as a key technology in today’s geodesy Bridges “real world” observational as well as satellite techniques and “virtual world” modeling as well as simulation Comprises high-level contributions from worldwide recognized researchers in mathematics and geodesy
Autor*in
Willi Freeden
Themen in »Handbook of Mathematical Geodesy«
constructive approximation determination of the shape of the Earth gravitational field determination inference theory and geodetic networks inverse problems satellite methods partial differential equations
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“The Handbook of Mathematical Geodesy presents for the mathematicians a wealth of applications and for the geodesists a solid embedding of the fundamental concepts of physical geodesy into approximation theory.” (Karl-Rudolf Koch, Journal of Geodesy, Vol. 93, 2019)
“The Handbook of Mathematical Geodesy presents a remarkable achievement. The book bridges the gap between the abstract work of the mathematicians and the practically oriented measurements of the geodesists. … the book is broadly planned, and it presents the present state of knowledge.” (Karl-Rudolf Koch, International Journal on Geomathematics GEM, Vol. 10, 2019)
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