Geomathematics: Mathematical Background and Geo-Science Applications
Feb 2025 · Elsevier
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612
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About this ebook
Developments in Geomathematics, 1: Geomathematics: Mathematical Background and Geo-Science Applications focuses on advanced concepts in petrology, economic geology, sedimentology, and structural geology. The publication first elaborates on the use of mathematical models in geology, review of calculus, and elementary matrices. Discussions focus on spectral components of a matrix, canonical form, eigenvalues, and eigenvectors, linear equations, method of pivotal condensation, determinants, differential calculus, complex numbers, scientific methods in geology, and mathematical techniques in use. The book also ponders on geometry, factor analysis, probability and statistics, and frequency distributions and functions of independent random variables. Topics include probability generating functions, maximum likelihood and other methods of estimation, age determinations for structural provinces in the Canadian shield, discrete and continuous frequency distributions, calculus of probabilities, and binomial distribution. The text examines spatial variability of multivariate systems, calculation of preferred orientations from vectorial data, and multivariate stochastic process-models with applications to the petrology of basalts. The publication is best recommended for advanced geology students, research workers, and teachers with an interest in using mathematical techniques for problem-solving.
Developments in Geomathematics, 1: Geomathematics: Mathematical Background and Geo-Science Applications focuses on advanced concepts in petrology, economic geology, sedimentology, and structural geology. The publication first elaborates on the use of mathematical models in geology, review of calc...
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About the author
F.P. Agterberg obtained his PhD at Utrecht University in 1961. After a 1-year post-doctorate Fellowship of the Wisconsin Alumni Research Foundation in Madison, he joined the Geological Survey of Canada in Ottawa where he headed the Geomathematics Section from 1969 to 1996.He has published over 350 scientific papers and 4 books including "Geomathematics in 1974 which sold about 10,000 copies. During the past 7 years he has helped to estimate the ages of 6 GTS200 stage boundaries, and was a co-editor of the Encyclopedia of Mathematical Geosciences in which he also authored 24 chapters. From1968 he was associated with the University of Ottawa where he taught "statistics in geology for 25 years. In total, he has supervised about 20 students in Canada and China. Other positions included directing the Quantitative Stratigraphy Project of the International Geological Correlation Program. He became Correspondent of the Royal Dutch Academy of Sciences in 1981 and was President of the International Association for Mathematical Geosciences (2004-2008),
F.P. Agterberg obtained his PhD at Utrecht University in 1961. After a 1-year post-doctorate Fellowship of the Wisconsin Alumni Research Foundation in Madison, he joined the Geological Survey of Canada in Ottawa where he headed the Geomathematics Section from 1969 to 1996.He has published over 35...
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