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.

Geodesy

Geodesy
Author: Wolfgang Torge
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 276
Release: 2015-08-31
Genre: Science
ISBN: 3111542688

This book gives a systematic overview of the fundamental theories, frameworks and methods for measurement and evaluation applying to geodesy, though the contribution of geodetic spatial techniques for positioning and for establishing the gravitational field receives particular emphasis. These methods have led to a change in the setting up of geodetic basic networks that is also of importance in practical terms; for interdisciplinary geodynamics research geodesy can likewise make major contributions with their assistance. The current status of geodesy is illustrated by numerous examples from survey, evaluation and analysis; an extensive literature list makes further study all the easier. The book conveys an extensive overview of the profound changes that geodesy has undergone in the past twenty years.

Geometrical Geodesy

Geometrical Geodesy
Author: Maarten Hooijberg
Publisher: Springer Science & Business Media
Total Pages: 452
Release: 2007-12-18
Genre: Science
ISBN: 3540682252

Surveying a Century Ago As it was based on the principles of geometry and trigonometry, surveying may be may be looked upon as a branch of practical mathematics. Hence, it was necessary that land surveyors and hydrographers should have a fair general knowledge, not only of these subjects, but also of all the subjects comprised by the term mathemat ics. In addition, the knowledge of mathematics required in ordinary chain surveying and levelling was not very extensive but in geodetical work, the highest mathematical ability and great organising power were required for a proper conception and supervision of the operations (Threlfall, 1940). Only small area of a few hundred square kilometres can be accurately mapped and surveyed without a frame work, since no difficulty is encountered because of Earth-curvature. In the past, especially in hydrography due to the type of work, surveying was carried out on the principles of ordinary practice, but in a very rough man ner, rapidity of execution being of paramount importance, the permissible error was sometimes large. The relative positions of the main surface features were obtained by aid of portable instruments, such as sextants and lead lines, tide poles, and logships. Sketching, just like military surveying was often filling in the smaller detail. In contrary, survey works done by the national mapping agencies (NMAs) were of a higher-level, and comprised the delimitation of boundaries as well as topographical surveys.

Geodesy? What's That?

Geodesy? What's That?
Author: Irene K. Fischer
Publisher: iUniverse
Total Pages: 398
Release: 2005
Genre: Earth
ISBN: 0595363997

Geodesy (the measurement of the size and shape of the earth), fascinating since the time of Erathosenes, became a basic science for the space program. Irene Fischer was a leader in the construction of the World Geodetic System (has an Earth reference ellipsoid named in her honor) when it was still being done by surveyors, piecing together terrestrial, gravitational and astronomical data. By the 1970s, satellite geodesy and marine geodesy were just coming into their own. Using her career, Fischer revels in explaining how the science unfolded, and how misunderstandings occur across scientific fields, e.g., why the "standard ocean" and the geoid do not easily translate across the fields of oceanography and geodesy. Her account should appeal to those writing the history of women in science. Government science, too, is less well studied than academic science even though some fields, such as geodesy, were always government led. Fischer provides food for thought, as well, to those who claim to study the management of science in bureaucratic settings different from those of industry or academia. Peppered among these themes are Fischer's solutions to historical mysteries such as why Columbus' used a figure for the size of the earth's circumference that was so much smaller than Erastothenes' or Posidonius' (with the added benefit of making it easier to persuade his patrons).

Sciences of Geodesy - I

Sciences of Geodesy - I
Author: Guochang Xu
Publisher: Springer Science & Business Media
Total Pages: 507
Release: 2010-09-09
Genre: Science
ISBN: 3642117414

This series of reference books describes sciences of different elds in and around geodesy with independent chapters. Each chapter covers an individual eld and describes the history, theory, objective, technology, development, highlights of research and applications. In addition, problems as well as future directions are discussed. The subjects of this reference book include Absolute and Relative Gravimetry, Adaptively Robust Kalman Filters with Applications in Navigation, Airborne Gravity Field Determination, Analytic Orbit Theory, Deformation and Tectonics, Earth Rotation, Equivalence of GPS Algorithms and its Inference, Marine Geodesy, Satellite Laser Ranging, Superconducting Gravimetry and Synthetic Aperture Radar Interferometry. These are individual subjects in and around geodesy and are for the rst time combined in a unique book which may be used for teaching or for learning basic principles of many subjects related to geodesy. The material is suitable to provide a general overview of geodetic sciences for high-level geodetic researchers, educators as well as engineers and students. Some of the chapters are written to ll literature blanks of the related areas. Most chapters are written by well-known scientists throughout the world in the related areas. The chapters are ordered by their titles. Summaries of the individual chapters and introductions of their authors and co-authors are as follows. Chapter 1 “Absolute and Relative Gravimetry” provides an overview of the gravimetric methods to determine most accurately the gravity acceleration at given locations.