Willi Freeden is Professor of Geomathematics at the Technical University of Kaiserslautern, GermanyZuhair Nahed is Professor at the University of Central Florida, Orlando, USA

• 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 LocalApproximation for Harmonic Potentials.- Joint Inversion of Multiple Observation.

“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)