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Gaussian Self-Affinity and Fractals: Globality, The Earth, 1/f Noise, and R/S (Selected Works of Benoit B. Mandelbrot) - Hardcover
Synopsis
This third volume of the Selected Works focusses on a detailed study of fraction Brownian motions. The fractal themes of "self-affinity" and "globality" are presented, while extensive introductory material, written especially for this book, precedes the papers and presents a number of striking new observations and conjectures. The mathematical tools so discussed will be valuable to diverse scientific communities.
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Review
From the reviews of the first edition:
"Written in Mandelbrot’s unique, thought-provoking style, these papers and commentaries contain a wealth of ideas which will appeal to mathematicians, statisticians, scientists and economists alike. It is a book both for dipping into and for detailed study, making readily accessible seminal papers which contain ideas that are as relevant now as when first published." (K. Falconer, Proceedings of the Edinburgh Mathematical Society, Vol. 48, 2005)
"This book contains the author’s works in areas ranging from statistics, mathematics, physics, hydrology to economics and finance ... as well as more than 200 pages of new material written especially for this volume. ... To summarize, Volume H of Mandelbrot’s Selecta is a major contribution to the understanding of wild self-affine variability and randomness. I believe that ... it will have a great impact on future research in mathematics, statistics, physics and other applied areas." (Yimin Xiao, Zentralblatt MATH, Vol. 1007, 2003)
"This book is a complete and encyclopaedic synthesis of problems and themes in self-affinity, fractals, multifractal geometry and globality. ... a very exhaustive and complete bibliography on the different connected subjects (with more than 500 references) may be very useful for researchers or users." (Michèle Mastrangelo-Dehen, Mathematical Reviews, Issue 2003 a)
"This volume is volume H of a program of publications of selected works (old and new) of Benoit B. Mandelbrot. ... The most valuable feature of the book is to bring together highly important papers ... for this reason this book should be in the library of any scientist interested in the origin of the concepts of self-affinity and fractals and their numerous applications in science." (Christian Michaux, Simon Stevin Bulletin, 2003)
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- PublisherSpringer
- Publication date2001
- ISBN 10 0387989935
- ISBN 13 9780387989938
- BindingHardcover
- LanguageEnglish
- Number of pages664
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Gaussian Self-Affinity and Fractals: Globality, The Earth, 1/f Noise, and R/S. (FIRST EDITION, NOT A PRINT-ON-DEMAND COPY.)
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New York, etc.: Springer, 2002., 2002
ISBN 10: 0387989935
ISBN 13: 9780387989938
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Gaussian Self-Affinity and Fractals: Globality, The Earth, 1/f Noise, and R/S (Selected Works of Benoit B. Mandelbrot)
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Hardcover. Condition: Fine. Dust Jacket Condition: Near Fine. First Edition. FIRST EDITION. Hardcover. Bound in glossy paper boards with illustration of a mountain and fractal on the front cover in blue, white, black and red color themes. White and red lettering on the cover and spine. Illustrated with black and white graphs, tables and depictions of fractals throughout. Pages are crisp, bright and clean, and completely free from marginalia, underlining or creasing. Book is in fine condition. Dust jacket is in near fine condition with some rubbing and slight wear on the edges. Contains cumulative biography. Indexed. [ix] 654 pp. From the dust jacket inside flap: "Benoit B. Mandelbrot's work-renowned pioneering research in fractal geometry has deeply affected several areas of mathematics, physics, finance, and other disciplines, and has also influenced teaching. this book explores the fractal themes of "self-affinity" and "globality." The ubiquity of extreme temporal and spatial variability impressed itself vividly upon the author in the early 1960s. he soon concluded that many phenomena represent a new state of indeterminism he called 'wild.' The usual statistical techniques fail, and altogether new mathematical tools are needed to explore this subject. The book contributes to their development and will therefore be of use in diverse scientific communities." A very nice copy. Additional photographs available upon request. Full refund if not satisfied. Seller Inventory # 065880
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Gaussian Self-Affinity and Fractals
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