Overview
- 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
Part of the book series: Geosystems Mathematics (GSMA)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (15 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Reviews
“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)
Editors and Affiliations
About the editors
Zuhair Nahed is Professor at the University of Central Florida, Orlando, USA
Bibliographic Information
Book Title: Handbook of Mathematical Geodesy
Book Subtitle: Functional Analytic and Potential Theoretic Methods
Editors: Willi Freeden, M. Zuhair Nashed
Series Title: Geosystems Mathematics
DOI: https://doi.org/10.1007/978-3-319-57181-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-57179-9Published: 22 June 2018
Softcover ISBN: 978-3-030-09622-9Published: 22 December 2018
eBook ISBN: 978-3-319-57181-2Published: 11 June 2018
Series ISSN: 2510-1544
Series E-ISSN: 2510-1552
Edition Number: 1
Number of Pages: XIV, 932
Number of Illustrations: 79 b/w illustrations, 76 illustrations in colour
Topics: Abstract Harmonic Analysis, Geophysics/Geodesy, Partial Differential Equations