Overview

Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation. While this 'reductionist' approach has been extremely successful, there are phenomena of such complexity that one cannot simplify them without eliminating the problem itself. Recently, attention has turned to such problems in a wide variety of fields. This is in part due to the development of fractal geometry. Fractal geometry provides the mathematical tools for handling complexity. The present volume is a collection of papers that deal with the application of fractals in both traditional scientific disciplines and in applied fields. This volume shows the advance of our understanding of complex phenomena across a spectrum of disciplines. While these diverse fields work on very different problems, fractals provide a unifying formalism for approaching these problems.

Full Product Details

Author:   Miroslav M Novak (Kingston Univ, Uk) ,  T G Dewey (Univ Of Denver, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789810231552

ISBN 10:   9810231555
Pages:   496
Publication Date:   29 March 1997
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Fractals, memory and Levy statistics in DNA sequences, B.J. West et al; a study of the fractal structure of aggregates formed after heat-induced denaturation of b-lactoglobulin , P. Aymard et al; mapping sameness into neighbourness , D.R. Chialvo; spatial and temporal analysis of brain images using fractal models, V. Swarnakar et al; fractal patterns of scalars advected by temporally irregular fluid flows - the random map approach, E. Ott and T.M. Antonsen; dynamic scaling of a reaction front in porous media, J.M. Register and T.G. Dewey; Levy kinetics in slab geometry - scaling of transmission probability, A. Davis and A. Marshak; using the interval distribution of level sets approach to determine the phase transition point based on a time sequence data, A. Yu Tretyakov et al; smoothing dimensions analysis new effective tools in fractal signal investigation, C. Ioana et al; analytical explanation of a phase transition in the multifractal measure connected with a one-dimensional random field Ising model, H. Patzlaff et al. (Part contents).

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