The World According to Wavelets: The Story of a Mathematical Technique in the Making, [Seeking new tools -- A new language acquires a grammar -- Applications -- Beyond wavelets -- Beyond plain English -- Apologia -- The Fourier transform -- The convergence of Fourier series and the stability of the Solar System -- Computing Fourier coefficients with integrals -- THe fast Fourier transform -- The continuous wavelet transform -- Orthogonality and scalar products -- multiresolution -- the fast wavlet transform -- Wavelets in two dimensions -- Pyramid algorithms of Burt and Adelson -- Multiwavelets - The Heisenberg Uncertainty Principle and Time-Frequency decompositions -- Probabilitiy, Heisenberg and Quantum mechanics, etc]

Beschreibung

2nd. ed., 3rd printing ; xx, 330 pages : illustrations ; 24 cm ; ISBN 9781568810720, 1568810725 ; OCLC 38048388 ; color pictorials boards, no dustjacket ; Contents: To the reader -- Acknowledgements -- The world according to Wavelets -- Prologue -- Fourier analysis : a poem transforms our world -- Seeking new tools -- A new language acquires a grammar -- Applications -- Beyond wavelets -- Beyond plain English -- Apologia -- The Fourier transform -- The convergence of Fourier series and the stability of the Solar System -- Computing Fourier coefficients with integrals -- THe fast Fourier transform -- The continuous wavelet transform -- Orthogonality and scalar products -- multiresolution -- the fast wavlet transform -- Wavelets in two dimensions -- Pyramid algorithms of Burt and Adelson -- Multiwavelets - The Heisenberg Uncertainty Principle and Time-Frequency decompositions -- Probabilitiy, Heisenberg and Quantum mechanics -- Traveling from One Function Space to another: Wavelets and Pure mathematics -- Wavelets and vision: another perspective -- Which wavelet? -- Different transforms: A summary -- Wavelets, music and speech -- The Lifting Scheme -- Best basis -- Appendices -- Mathematical symbols -- A review of some elementary trigonometry -- Integrals -- The Fourier Transforms: The different conventions -- The Sampling Theorem: A proof -- The Heisenberg Uncertainty Principle: A proof -- The Fourier Transform of a periodic function -- An example of an orthonormal Basis and a proof of Fourier's result -- Further reading -- Wavelet software and electronic resources -- References -- Index. ; nick at top, else FINE.

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Bibliografische Details

Titel

The World According to Wavelets: The Story of a Mathematical Technique in the Making, [Seeking new tools -- A new language acquires a grammar -- Applications -- Beyond wavelets -- Beyond plain English -- Apologia -- The Fourier transform -- The convergence of Fourier series and the stability of the Solar System -- Computing Fourier coefficients with integrals -- THe fast Fourier transform -- The continuous wavelet transform -- Orthogonality and scalar products -- multiresolution -- the fast ...

Verlag

A.K. Peters, Wellesley, Mass, 1998

Erscheinungsjahr

1998

Sprache

Englisch

ISBN-10

1568810725

ISBN-13

9781568810720

Einband

Hardcover

Auflage

2nd Edition.

Zustand

Fine

Buchtyp

Book

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