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This textbook introduces physical geodesy. It treats the boundary-value theories of the discipline comprehensively, and provides insights to the theory of gravity reduction based on a spherical Earth model. This book is for students who wish to thoroughly understand the material and to expand their knowledge and skills in mathematics for more advanced study and research in this discipline. The details of mathematical derivations included are a useful asset for instructors and researchers.
The Earth’s Gravity Field and Some of Its Properties
Elementary Potential Theory
Spherical Harmonics
The Normal Gravity Field and Reference Earth Ellipsoid
Stokes’ Theory and Beyond
Gravity Reduction
Molodensky’s Theory and Beyond
Fundamentals of Computation and Determination
Flattening and Gravity Inside the Earth