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9780521567336

Fractals and Chaos in Geology and Geophysics

by
  • ISBN13:

    9780521567336

  • ISBN10:

    0521567335

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 1997-07-13
  • Publisher: Cambridge University Press

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Summary

The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organised criticality, are introduced in this book, for a broad range of readers interested in complex natural phenomena. Now in a greatly expanded second edition, this book relates fractals and chaos to a variety of geological and geophysical applications. These include drainage networks and erosion, floods, earthquakes, mineral and petroleum resources, fragmentation, mantle convection and magnetic field generation. Many advances have been made in the field since the first edition was published. In this edition coverage of self-organised criticality is expanded and statistics and time series are included to provide a broad background for the reader. All concepts are introduced at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics. Problems are included for the reader to solve.

Table of Contents

Preface
1. Scale invariance
2. Definition of a fractal set
3. Fragmentation
4. Seismicity and tectonics
5. Ore grade and tonnage
6. Fractal clustering
7. Self-affine fractals
8. Geomorphology
9. Dynamical systems
10. Logistic map
11. Slider-block models
12. Lorenz equations
13. Is mantle convection chaotic?
14. Rikitake dynamo
15. Renormalization group method
16. Self-organized criticality
17. Where do we stand?
References
Appendix A
Appendix B
Answers to selected problems
Index.

Supplemental Materials

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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