Fractals in Rock Mechanics, Xie, Heping

Автор: Roland L. Dobrushin; Shigeo Kusuoka
Название: Statistical Mechanics and Fractals
ISBN: 3540575162 ISBN-13(EAN): 9783540575160
Издательство: Springer
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Описание: This volume is composed of two texts, each representing the content of a course of lectures given by the authors. Pitched at graduate level, they are accessible as introductions to their respective subjects for students and non-specialists.

Автор: Theo F. Nonnenmacher; Gabriele A. Losa; Ewald R. W
Название: Fractals in Biology and Medicine
ISBN: 3764329890 ISBN-13(EAN): 9783764329891
Издательство: Springer
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Описание: Explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. This book extends these notions to assess changes associated with disease in the hope to contribute to the understanding of pathogenetic processes in medicine.

Автор: C.C. Barton; P.R. La Pointe
Название: Fractals in the Earth Sciences
ISBN: 0306448653 ISBN-13(EAN): 9780306448652
Издательство: Springer
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Цена: 23508.00 р.
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Описание: Fractals have changed the way we understand and study nature. Many of the chapters discuss how to estimate fractal dimensions, Hurst exponents, and other scaling exponents. This book, in a way, represents a snapshot of a field in which fractals has brought inspiration and a fresh look at familiar subjects.

Автор: Dietrich Stauffer; H.Eugene Stanley
Название: From Newton to Mandelbrot
ISBN: 3540565892 ISBN-13(EAN): 9783540565895
Издательство: Springer
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Цена: 10760.00 р.
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Описание: Presents a short course in theoretical physics that covers the fields of classical physics, quantum mechanics, statistical physics, elementary particles, and the concept of fractals. This title contains 16 colored plates, test questions with answers, and problems. In addition, a diskette presents executable programs exploring the fractal concept.

Автор: Kirillov AA
Название: Tale of Two Fractals
ISBN: 081768381X ISBN-13(EAN): 9780817683818
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Written by the celebrated mathematician and educator A.A. Kirillov, this book offers an original treatment of fractals that is accessible to beginners and sufficiently rigorous for serious mathematicians. Offers a solid foundation in the theory of fractals.

Автор: Alberto Carpinteri; Francesco Mainardi
Название: Fractals and Fractional Calculus in Continuum Mechanics
ISBN: 321182913X ISBN-13(EAN): 9783211829134
Издательство: Springer
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Цена: 16979.00 р.
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Описание: The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.

Автор: Jacques L?vy-V?hel; Evelyne Lutton
Название: Fractals in Engineering
ISBN: 1849965501 ISBN-13(EAN): 9781849965507
Издательство: Springer
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Цена: 24456.00 р.
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Описание: Part 1: Mathematical Aspects.- Theory and Applications of Fractal Tops.- Splines, Fractal Functions, and Besov and Triebel-Lizorkin Spaces.- Hoelderian Random Functions.- Fractal Stationary Density in Coupled Maps.- Part 2: Physics.- A Network of Fractal Force Chains and Their Effect in Granular Materials under Compression.- Percolation and Permeability of Three Dimensional Fracture Networks with a Power Law Size Distribution.- Acoustic Diffraction Patterns from Fractal to Urban Structures: Applications to the Sierpinski Triangle and to a Neoclassical Urban Facade.- Turbulent k - epsilon model of flute-like musical instrument sound production.- Part 3: Chemical Engineering.- A Simple Discrete Stochastic Model for Laser-induced Jet-chemical Etching.- Invariant Structures and Multifractal Measures in 2d Mixing Systems.- Part 4: Finance.- Long Range Dependence in Financial Markets.- Financial Modelling by Multiscale Fractional Brownian Motion.- Part 5: Internet Traffic.- Limiting Fractal Random Processes in Heavy-tailed Systems.- A Non-parametric Test for Self-similarity and Stationarity in Network Traffic.- Part 6: Image Processing.- Continuous Evolution of Functions and Measures Toward Fixed Points of Contraction Mappings.- Various Mathematical Approaches to Extract Information from Textures of Increasing Complexities.- Fractal Inverse Problem: Approximation, Formulation and Differential Methods.

Автор: Rogers Luke G, Ruiz Patricia Alonso, Teplyaev Alexander, Chen Joe Po-chou
Название: Analysis, Probability And Mathematical Physics On Fractals
ISBN: 9811215529 ISBN-13(EAN): 9789811215520
Издательство: World Scientific Publishing
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Описание: In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature?This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results.

Автор: Ghanbarian, Behzad
Название: Fractals
ISBN: 1498748716 ISBN-13(EAN): 9781498748711
Издательство: Taylor&Francis
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Цена: 23734.00 р.
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Автор: Edgar, Gerald A.
Название: Classics On Fractals
ISBN: 0367157268 ISBN-13(EAN): 9780367157265
Издательство: Taylor&Francis
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Цена: 6430.00 р.
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Описание: This book contains a selection of classical mathematical papers related to fractal geometry. It is intended for the convenience of the student or scholar wishing to learn about fractal geometry.

Автор: Michael Frame, Nial Neger
Название: Kitchen Science Fractals: A Lab Manual For Fractal Geometry
ISBN: 9811218927 ISBN-13(EAN): 9789811218927
Издательство: World Scientific Publishing
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Цена: 7128.00 р.
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Описание: This book provides a collection of 43 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.

Автор: C.C. Barton; P.R. La Pointe
Название: Fractals in Petroleum Geology and Earth Processes
ISBN: 1461357330 ISBN-13(EAN): 9781461357339
Издательство: Springer
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Цена: 22203.00 р.
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Описание: In this unique volume, renowned experts discuss the applications of fractals in petroleum research-offering an excellent introduction to the subject.