Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods (Geosystems Mathematics) - Hardcover

Hardcover

ISBN 10: 3319571796 ISBN 13: 9783319571799

Verlag: Birkhäuser, 2018

Inhaltsangabe

<P>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.</P><DIV><DIV><DIV> </DIV> </DIV> </DIV><P></P>

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Reseña del editor

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.

Biografía del autor

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

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2018
• ISBN 10: 3319571796
• ISBN 13: 9783319571799
• Einband: Tapa dura
• Sprache: Englisch
• Auflage: 1
• Anzahl der Seiten: 948
• Herausgeber: Freeden Willi, Nashed M. Zuhair