Handbook Of Mathematical Geodesy

Author : Willi Freeden,M. Zuhair Nashed
Publisher : Birkhäuser
Page : 932 pages
File Size : 46,7 Mb
Release : 2018-06-11
Category : Mathematics
ISBN : 9783319571812

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Handbook of Mathematical Geodesy by Willi Freeden,M. Zuhair Nashed Pdf

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.

Author : Martin Vermeer,Antti Rasila
Publisher : CRC Press
Page : 291 pages
File Size : 50,7 Mb
Release : 2019-08-19
Category : Mathematics
ISBN : 9780429556500

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Map of the World by Martin Vermeer,Antti Rasila Pdf

Carl Friedrich Gauss, the "foremost of mathematicians," was a land surveyor. Measuring and calculating geodetic networks on the curved Earth was the inspiration for some of his greatest mathematical discoveries. This is just one example of how mathematics and geodesy, the science and art of measuring and mapping our world, have evolved together throughout history. This text is for students and professionals in geodesy, land surveying, and geospatial science who need to understand the mathematics of describing the Earth and capturing her in maps and geospatial data: the discipline known as mathematical geodesy. Map of the World: An Introduction to Mathematical Geodesy aims to provide an accessible introduction to this area, presenting and developing the mathematics relating to maps, mapping, and the production of geospatial data. Described are the theory and its fundamental concepts, its application for processing, analyzing, transforming, and projecting geospatial data, and how these are used in producing charts and atlases. Also touched upon are the multitude of cross-overs into other sciences sharing in the adventure of discovering what our world really looks like. FEATURES • Written in a fluid and accessible style, replete with exercises; adaptable for courses on different levels. • Suitable for students and professionals in the mapping sciences, but also for lovers of maps and map making.

Author : Pavel Novák,Mattia Crespi,Nico Sneeuw,Fernando Sansò
Publisher : Springer Nature
Page : 256 pages
File Size : 49,5 Mb
Release : 2020-09-16
Category : Science
ISBN : 9783030542672

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IX Hotine-Marussi Symposium on Mathematical Geodesy by Pavel Novák,Mattia Crespi,Nico Sneeuw,Fernando Sansò Pdf

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.

Author : Martin Hotine
Publisher : Unknown
Page : 434 pages
File Size : 40,8 Mb
Release : 1969
Category : Geodesy
ISBN : UCD:31175022340676

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Mathematical Geodesy by Martin Hotine Pdf

Author : Wilhelm Jordan
Publisher : Unknown
Page : 258 pages
File Size : 53,7 Mb
Release : 1962
Category : Geodesy
ISBN : OSU:32435028694032

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Handbook of Geodesy by Wilhelm Jordan Pdf

Author : Volker Michel
Publisher : Cambridge University Press
Page : 467 pages
File Size : 53,8 Mb
Release : 2022-04-28
Category : Mathematics
ISBN : 9781108419444

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Geomathematics by Volker Michel Pdf

A comprehensive summary of the fundamental mathematical principles behind key topics in geophysics and geodesy. Each section begins with a problem in gravimetry, geomagnetics or seismology and analyses its mathematical features. With each chapter ending with a series of review questions, this is a valuable reference for students and researchers.

Author : Willi Freeden,M. Zuhair Nashed
Publisher : American Mathematical Society
Page : 505 pages
File Size : 43,5 Mb
Release : 2023-08-21
Category : Mathematics
ISBN : 9781470473457

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Recovery Methodologies: Regularization and Sampling by Willi Freeden,M. Zuhair Nashed Pdf

The goal of this book is to introduce the reader to methodologies in recovery problems for objects, such as functions and signals, from partial or indirect information. The recovery of objects from a set of data demands key solvers of inverse and sampling problems. Until recently, connections between the mathematical areas of inverse problems and sampling were rather tenuous. However, advances in several areas of mathematical research have revealed deep common threads between them, which proves that there is a serious need for a unifying description of the underlying mathematical ideas and concepts. Freeden and Nashed present an integrated approach to resolution methodologies from the perspective of both these areas. Researchers in sampling theory will benefit from learning about inverse problems and regularization methods, while specialists in inverse problems will gain a better understanding of the point of view of sampling concepts. This book requires some basic knowledge of functional analysis, Fourier theory, geometric number theory, constructive approximation, and special function theory. By avoiding extreme technicalities and elaborate proof techniques, it is an accessible resource for students and researchers not only from applied mathematics, but also from all branches of engineering and science.

Author : Willi Freeden,Helga Nutz
Publisher : Springer Nature
Page : 224 pages
File Size : 42,9 Mb
Release : 2024
Category : Geology
ISBN : 9783031544125

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Exploratory Potential Methods in Geothermal Power Generation by Willi Freeden,Helga Nutz Pdf

The book provides the geoscientific context, that arises in gravimetric/magnetometric exploration. It essentially uses mathematics as a key technology for modeling issues on the basis of analysis and interpretation according to dense and precise gravitational/magnetic measurements. It is dedicated to surface and deep geology with potential data primarily of terrestrial origin. The book spans the interdisciplinary arc from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back again. It presents the recently published pioneering and groundbreaking multiscale mollifier methodologies realizing the bridging transfer from gravitational/magnetic measurements to approximative/numerical mollifier wavelet decorrelations with novel geologic prospects and layer-structure determination as outcome. Using the specific example of the German Saarland region, new important fields of application, especially for areas with mining-related cavities, will be opened up and subjected to an in-depth geologic detection.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 45,7 Mb
Release : 2006
Category : Electronic
ISBN : OCLC:863019154

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Testing Theory by Anonim Pdf

Author : Willi Freeden,Clemens Heine,M. Zuhair Nashed
Publisher : Springer
Page : 129 pages
File Size : 54,5 Mb
Release : 2019-05-17
Category : Mathematics
ISBN : 9783030130541

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An Invitation to Geomathematics by Willi Freeden,Clemens Heine,M. Zuhair Nashed Pdf

The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa. In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of geomathematics is outlined from different points of view and its challenging nature is described as well as its interdisciplinarity. Geomathematics is shown as the bridge between the real world and the virtual world. The complex mathematical tools are shown from a variety of fields necessary to tackle geoscientific problems in the mathematical language. Chapter 3 contains some exemplary applications as novel exploration methods. Particular importance is laid on the change of language when it comes to translate measurements to mathematical models. New solution methods like the multiscale mollifier technique are presented. Further applications discussed are aspects of reflection seismics. Chapter 4 is devoted to the short description of recent activities in geomathematics. The Appendix (Chapter 5) is devoted to the GEM – International Journal on Geomathematics founded ten years ago. Besides a detailed structural analysis of the editorial goals an index of all papers published in former issues is given.

Author : Joseph Zund
Publisher : Springer Science & Business Media
Page : 195 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642764967

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Differential Geodesy by Joseph Zund Pdf

Apart from Hotine's work on Mathematical Geodesy, several previously unpublished reports are collected in this monograph, complemented by extensive comments on these contributions and a complete bibliography of Hotine by the editor.

Author : Fernando Sansò,Michael G. Sideris
Publisher : Springer
Page : 81 pages
File Size : 47,8 Mb
Release : 2016-11-09
Category : Science
ISBN : 9783319463582

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Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions by Fernando Sansò,Michael G. Sideris Pdf

This book offers a new approach to interpreting the geodetic boundary value problem, successfully obtaining the solutions of the Molodensky and Stokes boundary value problems (BVPs) with the help of downward continuation (DC) based methods. Although DC is known to be an improperly posed operation, classical methods seem to provide numerically sensible results, and therefore it can be concluded that such classical methods must in fact be manifestations of different, mathematically sound approaches. Here, the authors first prove the equivalence of Molodensky’s and Stoke's approaches with Helmert’s reduction in terms of both BVP formulation and BVP solutions by means of the DC method. They then go on to show that this is not merely a downward continuation operation, and provide more rigorous interpretations of the DC approach as a change of boundary approach and as a pseudo BVP solution approach.

Author : Christian Blick,Willi Freeden,M. Zuhair Nashed,Helga Nutz,Michael Schreiner
Publisher : Springer Nature
Page : 114 pages
File Size : 45,5 Mb
Release : 2021-09-08
Category : Mathematics
ISBN : 9783030795085

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Inverse Magnetometry by Christian Blick,Willi Freeden,M. Zuhair Nashed,Helga Nutz,Michael Schreiner Pdf

This monograph presents the geoscientific context arising in decorrelative geomagnetic exploration. First, an insight into the current state of research is given by reducing magnetometry to mathematically accessible, and thus calculable, decorrelated models. In this way, various questions and problems of magnetometry are made available to a broad scientific audience and the exploration industry. New stimuli are given, and innovative ways of modeling geologic strata by mollifier magnetometric techniques are shown. Potential data sets primarily of terrestrial origin constitute the main data basis in the book. For deep geology, the geomathematical decorrelation methods are designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Overall, this book provides pioneering and ground-breaking innovative mathematical knowledge as a transfer methodology from the “reality space” of magnetometric measurements into the “virtual space” of mathematical-numerical modeling structures and mollifier solutions with novel geological application areas. It pursues a double goal: On the one hand, it represents a geoscientific set of rules for today's geoengineering, interested in the application of innovative modelling and simulation techniques to promising data sets and structures occurring in geomagnetics. On the other hand, the book serves as a collection of current material in Applied Mathematics to offer alternative methodologies in the theory of inverse problems.

Author : B.S. Daya Sagar,Qiuming Cheng,Frits Agterberg
Publisher : Springer
Page : 914 pages
File Size : 53,7 Mb
Release : 2018-06-25
Category : Science
ISBN : 9783319789996

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Handbook of Mathematical Geosciences by B.S. Daya Sagar,Qiuming Cheng,Frits Agterberg Pdf

This Open Access handbook published at the IAMG's 50th anniversary, presents a compilation of invited path-breaking research contributions by award-winning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences.

Author : Fernando Sansò
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 53,5 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662107355

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V Hotine-Marussi Symposium on Mathematical Geodesy by Fernando Sansò Pdf

Just as in the era of great achievements by scientists such as Newton and Gauss, the mathematical theory of geodesy is continuing the tradition of producing exciting theoretical results, but today the advances are due to the great technological push in the era of satellites for earth observations and large computers for calculations. Every four years a symposium on methodological matters documents this ongoing development in many related underlying areas such as estimation theory, stochastic modelling, inverse problems, and satellite-positioning global-reference systems. This book presents developments in geodesy and related sciences, including applied mathematics, among which are many new results of high intellectual value to help readers stay on top of the latest happenings in the field.