Wavelets in Physics

J.C. van den Berg

453 pages, parution le 24/03/2004

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Résumé

This book surveys the application of the recently developed technique of the wavelet transform to a wide range of physical fields, including astrophysics, turbulence, meteorology, plasma physics, atomic and solid state physics, multifractals occurring in physics, biophysics (in medicine and physiology) and mathematical physics. The wavelet transform can analyze scale-dependent characteristics of a signal (or image) locally, unlike the Fourier transform, and more flexibly than the windowed Fourier transform developed by Gabor fifty years ago. The continuous wavelet transform is used mostly for analysis, but the discrete wavelet transform allows very fast compression and transmission of data and speeds up numerical calculation, and is applied, for example, in the solution of partial differential equations in physics. This book will be of interest to graduate students and researchers in many fields of physics, and to applied mathematicians and engineers interested in physical application.

Contributors
J. C. van den Berg, J.-P. Antoine, A. Bijaoui, M. Farge, N. K.-R. Kevlahan, V. Perrier, K. Schneider, L. Hudgins, J. H. Kaspersen, B. Ph. van Milligen, A. Fournier, Ph. Antoine, B. Piraux, A. Arneodo, E. Bacry, J. F. Muzy, P. Ch. Ivanov, A. L. Goldberger, S. Havlin, C. -K. Peng, M. G. Rosenblum, H. E. Stanley, Ch.-A. Guérin, M. Holschneider

Sommaire

A guided tour
Wavelet analysis, a new tool in physics
The 2-D wavelet transform, physical applications
Wavelets and astrophysical applications
Turbulence analysis, modelling and computing using wavelets
Wavelets and detection of coherent structures in fluid turbulence
Wavelets, non-linearity and turbulence in fusion plasmas
Transfers and fluxes of wind kinetic energy between orthogonal wavelet components during atmospheric blocking
Wavelets in atomic physics and in solid state physics
The thermodynamics of fractals revisited with wavelets
Wavelets in medicine and physiology
Wavelet dimension and time evolution

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	J.C. van den Berg
Parution	24/03/2004
Nb. de pages	453
Format	17,5 x 24,5
Couverture	Broché
Poids	1050g
Intérieur	Noir et Blanc
EAN13	9780521533539
ISBN13	978-0-521-53353-9