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Fractals and chaos in geology and geophysics

Author: Donald Lawson Turcotte
Publisher: Cambridge, U.K. ; New York : Cambridge University Press, 1997.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organized criticality, are introduced in this book, for a broad range of readers interested in complex natural phenomena.
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Donald Lawson Turcotte
ISBN: 0521561647 9780521561648 0521567335 9780521567336
OCLC Number: 35095945
Description: xii, 398 pages : illustrations (some color) ; 26 cm
Contents: 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?
Responsibility: Donald L. Turcotte.
More information:

Abstract:

The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organized 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 new edition coverage of self-organized 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. Fractals and Chaos in Geology and Geophysics can be used as a text for advanced undergraduate and graduate courses in the physical sciences. Problems are included for the reader to solve.

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