Fractals
Nonintegral Dimensions and Applications
G. Cherbit(Editor)
Wiley (Publisher)
Published on 19. December 1990
Book
Hardback
266 pages
978-0-471-92798-3 (ISBN)
Description
A reference tool for those interested in fractal forms and their properties. The contributors discuss the involvement of fractals in mathematics, including the concepts of dimension and stochastics, chemistry, biology, physics and the human body in a series of essays.
More details
Language
English
Place of publication
Chichester
United Kingdom
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
104 line drawings, tables, index
Dimensions
Height: 55 mm
Width: 35 mm
Weight
510 gr
ISBN-13
978-0-471-92798-3 (9780471927983)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Content
Part 1 Models of irregular curves, S.Dubuc: examples of irregular curves; curves modelled by a functional equation; notions of dimension; calculating the size of a curve; applications. Part 2 Dyadic interpolation, G.Deslauriers and S.Dubuc. Part 3 Stochastic processes and covering procedures, M.Weber: some covering procedures; applications to the study of the regularity of stochastic processes - ultrametric structres. Part 4 Attractors and dimensions, P.Girault: some definitions; some theorems on the dimension of attractors; the Lorenz equations; some point transformations; the Navier-Stokes equations. Part 5 Construction of fractals and dimension problems, F.M.Dekking: a mathematical description of fractals; self-similarity properties; problems associated with determining the Hausdorff dimension. Part 6 Introduction to packing measures and dimensions, J.Peyriere. Part 7 Some remarks on Hausdorff dimension, J.L.Jonot. Part 8 Fractals, materials and energy, A.le Mehaute: fractals - where are they to be found?; on scales of measurement; the TEISI model; fractality and dissipation; why should the world be fractal?. Part 9 Problems concerning the concept of fractal in electrochemistry, M.Keddam: theoretical considerations; experimental considerations. Part 10 Some remarks concerning the structure of galactic clusters and Hubble's constant, P.Mills. Part 11 Disorder, chance and fractals in biology, G.Cherbit: glomerular filtration; pertubation of the rate of growth of a culture; bacterial division. Part 12 Fractals, semi-fractals and biometry, J.P.Rigaut: history; experimental methods; a semi-factal model; the lung as semi-fractal object; curvatures - relevant or not?; a gallery of semi-factal monsters; the frustration of the little quadrat. Part 13 Reconstruction of images from projections, N.de Beaucoudray, et al: data-collection methods using separate sections; tomographic reconstruction of images using the 3-dimensional Radon transform; codings with non-separated sections and not reducible to the 3-dimensional Radon transform. Part 14 Creation of fractal objects by diffusion, M.Rosso, et al. Part 15 Irreversibility and the time-arrow, J.Chanu. Part 16 Thermodynamic entropy and information, M.Courbage; information and thermodynamics; distance - information from one probability distribution wiht respect to another. Part 17 Dimension and entropy of regular curves, M.Mendes-France. Part 18 Local dimension, momentum and trajectories, G.Cherbit: local dimension - generalized velocity. Part 19 Space-time dimensionality, G.Cherbit.