This book introduces the fundamental concepts of fractal geometry and chaotic dynamics. These concepts are then related to a variety of geological and geophysical problems, illustrating just what chaos theory and fractals really tell us and how they can be applied to the earth sciences. Petroleum and mineral reserves, earthquakes, mantle convection and magnetic field generation are among the earth's properties that come under scrutiny. This is the first book that covers these topics at an accessible level; the concepts are introduced at the lowest possible level of mathematics and are consistently understandable, so that the reader requires only a background in basic physics and mathematics. Problems are also included for the reader to solve.
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Book Description
Editorial Reviews
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'This book ... provides fundamental concepts of fractals and chaotic dynamics. It introduces the related concepts of multifractals, self-similar time series, wavelets, and self-organised critically ... The author has done a magnificent job in presenting advanced material in a simplified manner. It is obvious that Turcotte is an excellent teacher.' Frederik P. Agterberg, Computers and Geosciences
Book Description
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. 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.
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11 of 11 people found the following review helpful:
5.0 out of 5 stars
Superb application and explanation of chaos and fractals,
By A Customer
This review is from: Fractals and Chaos in Geology and Geophysics (Paperback)
Dr. Turcotte explains and applies fractals to a wide variety of geological and geophysical phenomena. The writing is accessible to any educated reader who is willing to follow the mathematics. I have found it very useful in applying fractals and chaos to my own fields of study. The second edition is a great improvement over the first: it is much expanded and clearer and begins at a more basic level. The book conveys a lapidary concision of thought that is impressive even in a pure theoretical scientist. Dr. Turcotte is to be congratulated in this important contribution, which is so very useful to scientists in other fields.
6 of 12 people found the following review helpful:
5.0 out of 5 stars
Un libre excelente, an excellent book!,
By A Customer
This review is from: Fractals and Chaos in Geology and Geophysics (Paperback)
El Profesor Donald Turcotte desde principios de los 80 ha venido trabajando en el modelamiento de problemas geológicos con fractales y caos, y su libro es una de las mejores introducciones al tema. Desde su Capítulo 1 se ve claramente el estilo concreto y práctico que lo caracteriza, y la manera como introduce el concepto de la dimensión fractal por medio de ejemplos sencillos es sin duda invaluable. El capítulo de fragmentación presenta algunos modelos interesantes de este complejo fenómeno, y los ejercicios son muy ilustrativos al respecto. El capítulo de sismicidad y tectónica presenta algunos de los más importantes resultados en la caracterización de fallas y terremotos, aunque se queda un poco corto en los avances recientes a nivel de evolución de sistemas de fallamiento. El capítulo de relación entre el tenor y el tonelaje para yacimientos minerales aún tiene su vigencia dado lo poco que se ha realizado en este campo. Su relación con los procesos magmáticos de diferenciación es muy interesante y se puede realizar mucha investigación al respecto. Su capítulo de Geomorfología presente avances interesante como el concepto de ordenamiento de tokunaga, pero también se queda un poco corto en los recientes avances en este campo. El capítulo de fractales auto-afines es una de las mejores introducciones a esta temática. El autor explica de manera clara algunos conceptos importantes como el exponente de Hurst, movimiento fraccionado browniano y cálculo de dimensiones fractales con transformada de fourier, además de introducir algunos conceptos de procesos estocásticos. El profesor Turcotte dedica algunos capítulos para hablar acerca de la teoría de sistemas dinámicos no lineales y sus posibles aplicaciones en ciencias de la Tierra. Esta vez son las inversiones del campo geomagnético y la convección en el manto los fenómenos que presentan este tipo de comportamiento y sus implicaciones en la geología y la geofísica son profundas. Su capítulo de criticalidad autoorganizada presenta claramente los conceptos fundamentales de lo que hoy en día ha llegado a ser uno de los grandes paradigmas científicos. Este capítulo permite entender la manera como se aplican este tipo de ideas al entendimiento de los terremotos, y en un futuro se extenderá a muchos otros campos de las ciencias de la tierra. Enhorabuena que el Profesor Turcotte haya publicado una obra como esta, que se convertirá en obra de referencia para la futura generación de investigadores en ciencias de la Tierra.
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First Sentence:
The scale invariance of geological phenomena is one of the first concepts taught to a student of geology. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
comminution model, ten benchmark stations, fractal relation, drilled cells, digitized topography, fractal statistics, distributed seismicity, cumulative tonnage, wavelet scalogram, crustal volume, successive random additions, slider blocks, permeable path, corresponding fractal dimension, fractal construction, fractal trees, fractal clustering, fractal distribution, multiplicative cascade, retained square, walks illustrated, regional seismicity, background seismicity, homogeneous fractal, dynamo equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
United States, San Andreas, Problems Problem, Loma Prieta, Kentucky River, Powder River, Goss Heights, Gulf of Mexico, New York, Wallowa Mountains, Arroyo Seco, Big Bear, Great Britain, Power Spectra, San Gabriel Mountains, Yellowstone National Park, Yucca Mountain New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The scale invariance of geological phenomena is one of the first concepts taught to a student of geology. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
comminution model, ten benchmark stations, fractal relation, drilled cells, digitized topography, fractal statistics, distributed seismicity, cumulative tonnage, wavelet scalogram, crustal volume, successive random additions, slider blocks, permeable path, corresponding fractal dimension, fractal construction, fractal trees, fractal clustering, fractal distribution, multiplicative cascade, retained square, walks illustrated, regional seismicity, background seismicity, homogeneous fractal, dynamo equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
United States, San Andreas, Problems Problem, Loma Prieta, Kentucky River, Powder River, Goss Heights, Gulf of Mexico, New York, Wallowa Mountains, Arroyo Seco, Big Bear, Great Britain, Power Spectra, San Gabriel Mountains, Yellowstone National Park, Yucca Mountain New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 32
books:
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61
books
cite this book:
See all 61 books citing this book
- Fractals in the Earth Sciences (Applied Clinical Psychology) by C.C. Barton on 6 pages
- Fractals and Dynamic Systems in Geoscience by Jorn H. Kruhl in Back Matter (1), Back Matter (2), and Back Matter (3)
- Handbook of Hydrology by David Maidment in Back Matter
- Fractal Concepts in Surface Growth by Albert-Laszlo Barabasi in Back Matter
- Nonlinear Differential Equations and Dynamical Systems (Universitext) by Ferdinand Verhulst in Back Matter
See all 32 books this book cites
- Reduction And Predictability Of Natural Disasters (Santa Fe Institute Series) by John Rundle on 4 pages
- Seismicity Patterns, their Statistical Significance and Physical Meaning (Pageoph Topical Volumes) by Max Wyss on page 534, and page 405
- Stereology and Stochastic Geometry (Computational Imaging and Vision) by John E. Hilliard on page 432, and page 451
- The Unity of Nature: Wholeness and Disintegration in Ecology and Science by Alan Marshall on page 198, and Back Matter
- Heterogeneity in the Crust and Upper Mantle: Nature, Scaling and Seismic Properties by John A. Goff on page 154, and page 185
See all 61 books citing this book
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