Handbook of Mathematical Geodesy

Handbook of Mathematical Geodesy PDF Author: Willi Freeden
Publisher: Birkhäuser
ISBN: 3319571818
Category : Mathematics
Languages : en
Pages : 938

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Book Description
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.

Handbook of Geomathematics

Handbook of Geomathematics PDF Author: Amir Z. Averbuch
Publisher:
ISBN: 9783642277931
Category : Geology
Languages : en
Pages :

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Book Description


Handbook of Geomathematics

Handbook of Geomathematics PDF Author: Willi Freeden
Publisher: Springer
ISBN: 9783642015458
Category : Mathematics
Languages : en
Pages : 612

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Book Description
During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as spaceborne data of better and better quality explain the strong need of new mathematical structures, tools, and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.

Geomathematically Oriented Potential Theory

Geomathematically Oriented Potential Theory PDF Author: Willi Freeden
Publisher: CRC Press
ISBN: 1439895430
Category : Mathematics
Languages : en
Pages : 466

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Book Description
As the Earth`s surface deviates from its spherical shape by less than 0.4 percent of its radius and today's satellite missions collect their gravitational and magnetic data on nearly spherical orbits, sphere-oriented mathematical methods and tools play important roles in studying the Earth's gravitational and magnetic field. Geomathematically Orien

Integration and Cubature Methods

Integration and Cubature Methods PDF Author: Willi Freeden
Publisher: CRC Press
ISBN: 1351764756
Category : Mathematics
Languages : en
Pages : 513

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Book Description
In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration. In geosciences, however, the integrals are extended over potato-like volumes (such as the ball, ellipsoid, geoid, or the Earth) and their boundary surfaces which require specific multi-variate approximate integration methods. Integration and Cubature Methods: A Geomathematically Oriented Course provides a basic foundation for students, researchers, and practitioners interested in precisely these areas, as well as breaking new ground in integration and cubature in geomathematics.

Inertial Navigation Systems with Geodetic Applications

Inertial Navigation Systems with Geodetic Applications PDF Author: Christopher Jekeli
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110784327
Category : Science
Languages : en
Pages : 424

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Book Description
This book covers all aspects of inertial navigation systems (INS), including the sensor technology and the estimation of instrument errors, as well as their integration with Global Navigation Satellite Systems, specifically the Global Positioning System (GPS) for geodetic applications. The text is of interest to geodesists, including surveyors, mappers, and photogrammetrists; to engineers in aviation, navigation, guidance, transportation, and robotics; and to scientists involved in aerogeophysics and remote sensing. The most recent developments are covered with this second edition that also features an updated treatment of the classical material. Detailed mathematical derivations of the principles of measurement and data processing of inertial measurement units for both stabilized and strapdown systems. Complete treatment of the error dynamics from a statistical viewpoint, including the Kalman filter. A self-contained description of GPS with emphasis on kinematic applications. Key concepts supported by illustrations and numerical examples.

Spherical Sampling

Spherical Sampling PDF Author: Willi Freeden
Publisher: Birkhäuser
ISBN: 3319714589
Category : Mathematics
Languages : en
Pages : 591

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Book Description
This book presents, in a consistent and unified overview, results and developments in the field of today ́s spherical sampling, particularly arising in mathematical geosciences. Although the book often refers to original contributions, the authors made them accessible to (graduate) students and scientists not only from mathematics but also from geosciences and geoengineering. Building a library of topics in spherical sampling theory it shows how advances in this theory lead to new discoveries in mathematical, geodetic, geophysical as well as other scientific branches like neuro-medicine. A must-to-read for everybody working in the area of spherical sampling.

Remapping Energopolitics

Remapping Energopolitics PDF Author: Abhisek Ghosal
Publisher: Taylor & Francis
ISBN: 1040105602
Category : Literary Criticism
Languages : en
Pages : 113

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Book Description
Emerging concerns and contexts of geological thinking seek to bring out how energopolitical interventions into the geokinetic "unfolding" of the Earth assume new dimensions and directions, owing to the complex and evolving intersections between "folds" and "fluxes" of energy in the context of oceans. Written in negotiation with the notion of energopolitics articulated by Dominic Boyer, Remapping Energopolitics calls for ruling out any epistemic attempt to structure the rhizomatic movements of energy through the transformations of oceans. Aiming to delve deeper into the complex junctures among energy, ocean and earth(ing), epistemic ends of Blue Humanities are reworked with the help of geophilosophical reading of some Sri Lankan minor writings and in doing so, Remapping Energopolitics makes a series of attempts to reconceptualize "energy thinking" in line with the differential and deterritorial grammatology of Deleuzo-Guattarian micropolitics, thereby offering a critique of the structured and stratified understandings of "energy linkages".

Spectral Methods in Geodesy and Geophysics

Spectral Methods in Geodesy and Geophysics PDF Author: Christopher Jekeli
Publisher: CRC Press
ISBN: 1351644947
Category : Mathematics
Languages : en
Pages : 524

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Book Description
The text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The word "methods" in the title is meant to convey that the transformation of a geophysical signal into the spectral domain can be applied for purposes of analysis as well as rapid computation. The text is written for graduate students; however, Chapters 1 through 4 and parts of 5 can also benefit undergraduates who have a solid and fluent knowledge of integral and differential calculus, have some statistical background, and are not uncomfortable with complex numbers. Concepts are developed by starting from the one-dimensional domain and working up to the spherical domain, which is part of every chapter. Many concepts are illustrated graphically with actual geophysical data primarily from signals of gravity, magnetism, and topography.

Decorrelative Mollifier Gravimetry

Decorrelative Mollifier Gravimetry PDF Author: Willi Freeden
Publisher: Springer Nature
ISBN: 3030699099
Category : Mathematics
Languages : en
Pages : 482

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Book Description
This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth. First, an insight into the current state of research is given by reducing gravimetry to mathematically accessible, and thus calculable, decorrelated models. In this way, the various unresolved questions and problems of gravimetry are made available to a broad scientific audience and the exploration industry. New theoretical developments will be given, and innovative ways of modeling geologic layers and faults by mollifier regularization techniques are shown. This book is dedicated to surface as well as volume geology with potential data primarily of terrestrial origin. For deep geology, the geomathematical decorrelation methods are to be designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Bridging several different geo-disciplines, this book leads in a cycle from the potential measurements made by geoengineers, to the cleansing of data by geophysicists and geoengineers, to the subsequent theory and model formation, computer-based implementation, and numerical calculation and simulations made by geomathematicians, to interpretation by geologists, and, if necessary, back. It therefore spans the spectrum from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back. Using the German Saarland area for methodological tests, important new fields of application are opened, particularly for regions with mining-related cavities or dense development in today's geo-exploration.