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]

Hubbard, Barbara Burke [Ingrid Daubechies, David Donoho, David Field, Leonard Gross, Alex Grossmann, John Morlet, Robert Strichartz, Edward Adelson, Christophe d'Alessandro, Michel Barlaud, Jonathan Berger, Gregory Beylkin, Ronald Coifman, Karen De Valois, Russell De Valois, Ronald DeVore, Uriel Frisch, Jeffrey Geroninmo, Eric Goirand, Dennis Healy, Shubha Kadambe, Richard Kronland-Martinet, Bradley Lucier, Gilbert Strang, Gene Switkes, Bruno Torresani, Michael Unser, Martin Vetterli, Stephen Mautner, Philippe Boulanger, Ralph Obertse-Vorth, Ricardo Oliva, Dierk Schleicher, Yuval Fisher, Douglas Burke, Fred Kkochman, T W Korner, Stephane Mallat, Felix Abramovich, Jean-Pierre Antoine, Norman Bleistein, Christopher Brislawn, Sidney Burrus

ISBN 10: 1568810725 / ISBN 13: 9781568810720

Published by A.K. Peters, Wellesley, Mass, 1998, 1998

About this Item

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.

Seller Inventory # 008422

Bibliographic Details

• Title: 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 ...
• Publisher: A.K. Peters, Wellesley, Mass, 1998
• Publication Date: 1998
• Language: English
• ISBN 10: 1568810725
• ISBN 13: 9781568810720
• Binding: Hardcover
• Edition: 2nd Edition.
• Condition: Fine
• Book Type: Book

About this title

Synopsis

This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development. Organized in "hypertext fashion," the book tells a story of scientific discovery with separate brief entries for technical terms and explicit appendices in a section called "Beyond Plain English."

About the Author

Barbara Burke Hubbard