Quantitative Geology and Geostatistics

Geomathematics: Theoretical Foundations, Applications and Future Developments

Authors: Agterberg, Frits

  • Presents mathematical applications to delineate geological entities in the Earth’s upper crust
  • Demonstrates the use of mathematical statistics in the geosciences
  • Includes probabilistic mineral resource estimation methods
  • Presents methods of quantitative stratigraphy and construction of numeral geologic timescales
  • Explains nonlinear modelling of geological processes
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  • ISBN 978-3-319-06874-9
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Hardcover $179.00
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  • ISBN 978-3-319-06873-2
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Softcover $179.00
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  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 3, 2016
  • ISBN 978-3-319-34947-3
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

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.

Table of contents (12 chapters)

  • Complexity of the Geological Framework and Use of Mathematics

    Agterberg, Frits

    Pages 1-40

  • Probability and Statistics

    Agterberg, Frits

    Pages 41-72

  • Maximum Likelihood, Lognormality and Compound Distributions

    Agterberg, Frits

    Pages 73-104

  • Correlation, Method of Least Squares, Linear Regression and the General Linear Model

    Agterberg, Frits

    Pages 105-138

  • Prediction of Occurrence of Discrete Events

    Agterberg, Frits

    Pages 139-188

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-319-06874-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-319-06873-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 3, 2016
  • ISBN 978-3-319-34947-3
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Geomathematics: Theoretical Foundations, Applications and Future Developments
Authors
Series Title
Quantitative Geology and Geostatistics
Series Volume
18
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-06874-9
DOI
10.1007/978-3-319-06874-9
Hardcover ISBN
978-3-319-06873-2
Softcover ISBN
978-3-319-34947-3
Series ISSN
0924-1973
Edition Number
1
Number of Pages
XX, 553
Number of Illustrations and Tables
264 b/w illustrations, 75 illustrations in colour
Topics