Wavelets in physics / edited by J.C. Van den Berg.

Format:

Book

Contributor:

Berg, J. C. van den, 1944- editor.

Language:

English

Subjects (All):

Wavelets (Mathematics).

Mathematical physics.

Fourier transformations.

Time measurements.

Physical Description:

1 online resource (xxiv, 453 pages) : digital, PDF file(s).

Edition:

1st pbk. ed.

Place of Publication:

Cambridge : Cambridge University Press, 1999.

Language Note:

English

Summary:

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.

Contents:

Wavelet analysis: a new tool in physics / J.-P. Antoine

The 2-D wavelet transform, physical applications and generalizations / J.-P. Antoine

Wavelets and astrophyical applications / A. Bijaoui

Turbulence analysis, modelling and computing using wavelets / M. Farge [and others]

Wavelets and detection of coherent structures in fluid turbulence / L. Hudgins and J.H. Kaspersen

Wavelets, non-linearity and turbulence in fusion plasmas / B. Ph. van Milligen

Transfers and fluxes of wind kinetic energy between orthogonal wavelet components during atmospheric blocking / A. Fournier

Wavelets in atomic physics and in solid state physics / J.-P. Antoine, Ph. Antoine and B. Piraux

The thermodynamics of fractals revisited with wavelets / A. Arneodo, E. Bacry and J.F. Muzy

Wavelets in medicine and physiology / P. Ch. Ivanov [and others]

Wavelet dimension and time evolution / Ch.-A. Guérin and M. Holschneider.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-11445-4

1-282-48680-2

9786612486807

0-511-67370-1

0-511-67164-4

0-511-67489-9

0-511-67036-2

0-511-61326-1

0-511-67291-8

OCLC:

609856615