Geomathematics: Theory and Applications (Volume IV)
Geomathematics: Theory and Applications (Volume IV)

Author: Virginia Williams

Publisher: Clanrye International

Published: 2023-09-12

Total Pages: 0

ISBN-13: 9781647266608

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Geomathematics is the application of mathematical methods to solve problems in geosciences, including geology and geophysics. It is also called mathematical geophysics. There are several applications of geomathematics in different areas such as data assimilation, geophysics, terrestrial tomography, crystallography, geomorphology, glaciology and geophysical statistics. The field of geomorphology involves the application of geomathematics by using mathematical methods related to soil and water. It includes the application of various mathematical concepts such as Darcy's law, Stoke's law, stream power and differential equations. Seismic tomography, a technique used for the imaging of the subsurface of the Earth by using seismic waves, also makes extensive use of geomathematics. This book provides a detailed explanation of geomathematics. Its extensive content provides the readers with a thorough understanding of the theory and applications of this field. Coherent flow of topics, student-friendly language, and extensive use of examples make this book an invaluable source of knowledge.

Geomathematics: Theory and Applications (Volume I)
Geomathematics: Theory and Applications (Volume I)

Author: Virginia Williams

Publisher: Clanrye International

Published: 2023-09-12

Total Pages: 0

ISBN-13: 9781647266578

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Geomathematics is the application of mathematical methods to solve problems in geosciences, including geology and geophysics. It is also called mathematical geophysics. There are several applications of geomathematics in different areas such as data assimilation, geophysics, terrestrial tomography, crystallography, geomorphology, glaciology and geophysical statistics. The field of geomorphology involves the application of geomathematics by using mathematical methods related to soil and water. It includes the application of various mathematical concepts such as Darcy's law, Stoke's law, stream power and differential equations. Seismic tomography, a technique used for the imaging of the subsurface of the Earth by using seismic waves, also makes extensive use of geomathematics. This book provides a detailed explanation of geomathematics. Its extensive content provides the readers with a thorough understanding of the theory and applications of this field. Coherent flow of topics, student-friendly language, and extensive use of examples make this book an invaluable source of knowledge.

Geomathematics: Theory and Applications (Volume III)
Geomathematics: Theory and Applications (Volume III)

Author: Virginia Williams

Publisher: Clanrye International

Published: 2023-09-19

Total Pages: 0

ISBN-13: 9781647266592

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Geomathematics is the application of mathematical methods to solve problems in geosciences, including geology and geophysics. It is also called mathematical geophysics. There are several applications of geomathematics in different areas such as data assimilation, geophysics, terrestrial tomography, crystallography, geomorphology, glaciology and geophysical statistics. The field of geomorphology involves the application of geomathematics by using mathematical methods related to soil and water. It includes the application of various mathematical concepts such as Darcy's law, Stoke's law, stream power and differential equations. Seismic tomography, a technique used for the imaging of the subsurface of the Earth by using seismic waves, also makes extensive use of geomathematics. This book provides a detailed explanation of geomathematics. Its extensive content provides the readers with a thorough understanding of the theory and applications of this field. Coherent flow of topics, student-friendly language, and extensive use of examples make this book an invaluable source of knowledge.

Geomathematics: Theory and Applications (Volume II)
Geomathematics: Theory and Applications (Volume II)

Author: Virginia Williams

Publisher: Clanrye International

Published: 2023-09-19

Total Pages: 0

ISBN-13: 9781647266585

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Geomathematics is the application of mathematical methods to solve problems in geosciences, including geology and geophysics. It is also called mathematical geophysics. There are several applications of geomathematics in different areas such as data assimilation, geophysics, terrestrial tomography, crystallography, geomorphology, glaciology and geophysical statistics. The field of geomorphology involves the application of geomathematics by using mathematical methods related to soil and water. It includes the application of various mathematical concepts such as Darcy's law, Stoke's law, stream power and differential equations. Seismic tomography, a technique used for the imaging of the subsurface of the Earth by using seismic waves, also makes extensive use of geomathematics. This book provides a detailed explanation of geomathematics. Its extensive content provides the readers with a thorough understanding of the theory and applications of this field. Coherent flow of topics, student-friendly language, and extensive use of examples make this book an invaluable source of knowledge.

An Invitation to Geomathematics
An Invitation to Geomathematics

Author: Willi Freeden

Publisher: Springer

Published: 2019-05-17

Total Pages: 140

ISBN-13: 3030130541

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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.

Geomathematics: Theoretical Foundations, Applications and Future Developments
Geomathematics: Theoretical Foundations, Applications and Future Developments

Author: Frits Agterberg

Publisher: Springer

Published: 2014-07-14

Total Pages: 569

ISBN-13: 3319068741

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This book provides a wealth of geomathematical case history studies performed by the author during his career at the Ministry of Natural Resources Canada, Geological Survey of Canada (NRCan-GSC). Several of the techniques newly developed by the author and colleagues that are described in this book have become widely adopted, not only for further research by geomathematical colleagues, but by government organizations and industry worldwide. These include Weights-of-Evidence modelling, mineral resource estimation technology, trend surface analysis, automatic stratigraphic correlation and nonlinear geochemical exploration methods. The author has developed maximum likelihood methodology and spline-fitting techniques for the construction of the international numerical geologic timescale. He has introduced the application of new theory of fractals and multi fractals in the geostatistical evaluation of regional mineral resources and ore reserves and to study the spatial distribution of metals in rocks. The book also contains sections deemed important by the author but that have not been widely adopted because they require further research. These include the geometry of preferred orientations of contours and edge effects on maps, time series analysis of Quaternary retreating ice sheet related sedimentary data, estimation of first and last appearances of fossil taxa from frequency distributions of their observed first and last occurrences, tectonic reactivation along pre-existing schistosity planes in fold belts, use of the grouped jackknife method for bias reduction in geometrical extrapolations and new applications of the theory of permanent, volume-independent frequency distributions.

Geomathematics: Theoretical Foundations, Applications and Future Developments
Geomathematics: Theoretical Foundations, Applications and Future Developments

Author: Frits Agterberg

Publisher: Springer

Published: 2016-09-17

Total Pages: 0

ISBN-13: 9783319349473

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This book provides a wealth of geomathematical case history studies performed by the author during his career at the Ministry of Natural Resources Canada, Geological Survey of Canada (NRCan-GSC). Several of the techniques newly developed by the author and colleagues that are described in this book have become widely adopted, not only for further research by geomathematical colleagues, but by government organizations and industry worldwide. These include Weights-of-Evidence modelling, mineral resource estimation technology, trend surface analysis, automatic stratigraphic correlation and nonlinear geochemical exploration methods. The author has developed maximum likelihood methodology and spline-fitting techniques for the construction of the international numerical geologic timescale. He has introduced the application of new theory of fractals and multi fractals in the geostatistical evaluation of regional mineral resources and ore reserves and to study the spatial distribution of metals in rocks. The book also contains sections deemed important by the author but that have not been widely adopted because they require further research. These include the geometry of preferred orientations of contours and edge effects on maps, time series analysis of Quaternary retreating ice sheet related sedimentary data, estimation of first and last appearances of fossil taxa from frequency distributions of their observed first and last occurrences, tectonic reactivation along pre-existing schistosity planes in fold belts, use of the grouped jackknife method for bias reduction in geometrical extrapolations and new applications of the theory of permanent, volume-independent frequency distributions.

Handbook of Geomathematics
Handbook of Geomathematics

Author: Willi Freeden

Publisher: Springer Science & Business Media

Published: 2010-08-13

Total Pages: 1371

ISBN-13: 364201545X

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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.

Geomathematics
Geomathematics

Author: Volker Michel

Publisher: Cambridge University Press

Published: 2022-04-28

Total Pages: 467

ISBN-13: 1108419445

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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.