Fractals in Geophysics
Author: SCHOLZ
Publisher: Birkhäuser
Published: 2013-11-22
Total Pages: 312
ISBN-13: 3034863896
DOWNLOAD EBOOKReprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 1
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Fractals and Chaos in Geology and Geophysics
Author: Donald L. Turcotte
Publisher: Cambridge University Press
Published: 1997-07-13
Total Pages: 424
ISBN-13: 9780521567336
DOWNLOAD EBOOKThe 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.
Application of Fractals in Earth Sciences
Author: V.P. Dimri
Publisher: CRC Press
Published: 2000-01-01
Total Pages: 254
ISBN-13: 9789054102847
DOWNLOAD EBOOKThis text examines the emerging field of fractals and its applications in earth sciences. Topics covered include: concepts of fractal and multifractal chaos; the application of fractals in geophysics, geology, climate studies, and earthquake seismology.
Wavelets and Fractals in Earth System Sciences
Author: E. Chandrasekhar
Publisher: Taylor & Francis
Published: 2013-11-20
Total Pages: 306
ISBN-13: 146655360X
DOWNLOAD EBOOKThe subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications w
Fractals in Rock Mechanics
Author: Heping Xie
Publisher: CRC Press
Published: 2020-12-18
Total Pages: 472
ISBN-13: 1000150348
DOWNLOAD EBOOKImportant developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics. Natural objects, from mountains and coastlines to clouds and forests, are found to have boundaries best described as fractals. Fluid flow through jointed rock masses and clusterings of earthquakes are found to follow fractal patterns in time and space. Fracturing in rocks at all scales, from the microscale (microcracks) to the continental scale (megafaults), can lead to fractal structures. The process of diagenesis and pore geometry of sedimentary rock can be quantitatively described by fractals, etc. The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock burst, joint roughness, rock porosity and permeability, rock grain growth, rock and soil particles, shear slips, fluid flow through jointed rocks, faults, earthquake clustering, and so on. The prime concerns of the book are to give a simple account of the basic concepts, methods of fractal geometry, and their applications to rock mechanics, geology, and seismology, and also to discuss damage mechanics of rocks and its application to mining engineering. The book can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.
Fractal Models in the Earth Sciences
Author: Gabor Korvin
Publisher: Elsevier Publishing Company
Published: 1992
Total Pages: 432
ISBN-13:
DOWNLOAD EBOOKA fractal is a mathematical set or object whose form is extremely irregular and/or fragmented at all scales. So reads Mandelbrot's definition of the term which he coined and widely popularised in his famous monographs. This volume presents the first systematic summary of the fractal models that have been proposed to explain the irregular features and phenomena of the Earth -- from meandering rivers and rugged coastlines to the pore space of reservoir sandstones and the prediction of earthquakes. No previous knowledge of fractals is assumed. Connections and analogies with other fields of natural and technical sciences (physics, biology, fractography, etc.) are always pointed out. More than 300 illustrations are included, demonstrating how fractal geometry reveals astonishing similarities between natural phenomena at widely different scales. The readership for this book is wide and includes: geological scientists, oceanographers, and meteorologists involved in describing and analysing irregular spatial data; as well as applied mathematicians, physicists and computer scientists looking for new fields of research.
Fractals in Science
Author: Armin Bunde
Publisher: Springer
Published: 2013-12-21
Total Pages: 317
ISBN-13: 3642779530
DOWNLOAD EBOOKA deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.
Fractals: A Very Short Introduction
Author: Kenneth Falconer
Publisher: OUP Oxford
Published: 2013-09-26
Total Pages: 153
ISBN-13: 0191663441
DOWNLOAD EBOOKMany are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Fractals and Chaos
Author: Benoit Mandelbrot
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 321
ISBN-13: 1475740174
DOWNLOAD EBOOKJust 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.
Fractals, Scaling and Growth Far from Equilibrium
Author: Paul Meakin
Publisher: Cambridge University Press
Published: 1998
Total Pages: 700
ISBN-13: 9780521452533
DOWNLOAD EBOOKA comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
