Mathematical Foundation of Geodesy

Mathematical Foundation of Geodesy
Author: Kai Borre
Publisher: Springer Science & Business Media
Total Pages: 415
Release: 2006-09-23
Genre: Science
ISBN: 3540337679

This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century. The collection includes the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974, as well as trend-setting papers on the theory of adjustment.

Mathematical Foundation of Geodesy

Mathematical Foundation of Geodesy
Author: Kai Borre
Publisher: Springer
Total Pages: 416
Release: 2006-06-14
Genre: Science
ISBN: 9783540337652

This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century. The collection includes the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974, as well as trend-setting papers on the theory of adjustment.

Handbook of Mathematical Geodesy

Handbook of Mathematical Geodesy
Author: Willi Freeden
Publisher: Birkhäuser
Total Pages: 938
Release: 2018-06-11
Genre: Mathematics
ISBN: 3319571818

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.

Physical Geodesy

Physical Geodesy
Author: Bernhard Hofmann-Wellenhof
Publisher: Springer Science & Business Media
Total Pages: 413
Release: 2005-11-18
Genre: Science
ISBN: 3211274677

Based on "Heiskanen/Moritz" which served for more than 30 years as a standard reference Treats physical geodesy encyclopaedically Seamless blend of new ideas and methods (GPS, satellites, collocation)

IX Hotine-Marussi Symposium on Mathematical Geodesy

IX Hotine-Marussi Symposium on Mathematical Geodesy
Author: Pavel Novák
Publisher: Springer Nature
Total Pages: 256
Release: 2020-09-16
Genre: Science
ISBN: 303054267X

This volume gathers the proceedings of the IX Hotine-Marussi Symposium on Mathematical Geodesy, which was held from 18 to 22 June 2018 at the Faculty of Civil and Industrial Engineering, Sapienza University of Rome, Italy. Since 2006, the Hotine-Marussi Symposia series has been produced under the auspices of the Inter-Commission Committee on Theory (ICCT) within the International Association of Geodesy (IAG). The ICCT has organized the last four Hotine-Marussi Symposia, held in Wuhan (2006) and Rome (2009, 2013 and 2018). The overall goal of the ICCT and Hotine-Marussi Symposia has always been to advance geodetic theory, as reflected in the 25 peer-reviewed research articles presented here. The IX Hotine-Marussi Symposium was divided into 10 topical sessions covering all aspects of geodetic theory including reference frames, gravity field modelling, adjustment theory, atmosphere, time series analysis and advanced numerical methods. In total 118 participants attended the Symposium and delivered 82 oral and 37 poster presentations. During a special session at the Accademia Nazionale deiLincei, the oldest scientific academy in the world, six invited speakers discussed interactions of geodesy with oceanography, glaciology, atmospheric research, mathematics, Earth science and seismology.

VII Hotine-Marussi Symposium on Mathematical Geodesy

VII Hotine-Marussi Symposium on Mathematical Geodesy
Author: Nico Sneeuw
Publisher: Springer Science & Business Media
Total Pages: 393
Release: 2012-02-02
Genre: Science
ISBN: 3642220770

The Hotine-Marussi Symposium is the core meeting of a “think thank”, a group scientists in the geodetic environment working on theoretical and methodological subjects, while maintaining the foundations of geodesy to the proper level by corresponding to the strong advancements improved by technological development in the field of ICT, electronic computing, space technology, new measurement devices etc. The proceedings of the symposium cover a broad area of arguments which integrate the foundations of geodesy as a science. The common feature of the papers therefore is not on the object, but rather in the high mathematical standards with which subjects are treated.

Gravity Inversion and Integration

Gravity Inversion and Integration
Author: Lars E. Sjöberg
Publisher: Springer
Total Pages: 391
Release: 2017-04-19
Genre: Science
ISBN: 3319502980

This book contains theory and applications of gravity both for physical geodesy and geophysics. It identifies classical and modern topics for studying the Earth. Worked-out examples illustrate basic but important concepts of the Earth’s gravity field. In addition, coverage details the Geodetic Reference System 1980, a versatile tool in most applications of gravity data. The authors first introduce the necessary mathematics. They then review classic physical geodesy, including its integral formulas, height systems and their determinations. The next chapter presents modern physical geodesy starting with the original concepts of M.S. Molodensky. A major part of this chapter is a variety of modifying Stokes’ formula for geoid computation by combining terrestrial gravity data and an Earth Gravitational Model. Coverage continues with a discussion that compares today’s methods for modifying Stokes’ formulas for geoid and quasigeoid determination, a description of several modern tools in physical geodesy, and a review of methods for gravity inversion as well as analyses for temporal changes of the gravity field. This book aims to broaden the view of scientists and students in geodesy and geophysics. With a focus on theory, it provides basic and some in-depth knowledge about the field from a geodesist’s perspective. /div

Geoid and its Geophysical Interpretations

Geoid and its Geophysical Interpretations
Author: Petr Vanicek
Publisher: CRC Press
Total Pages: 424
Release: 2020-09-23
Genre: Science
ISBN: 1000141438

Geoid and its Geophysical Interpretations explains how an accurate geoid can be constructed and used for a variety of applied and theoretical geophysical purposes. The book discusses existing techniques for geoid computation, recently developed mathematical and computational tools designed for applications, and various interpretations. Principles and results are well illustrated. This book will be an excellent reference for geodesists, geophysicists, geophysical prospectors, oceanographers, and researchers and students in geophysics and geodesy.