The World According to Wavelets

The Story of a Mathematical Technique in the Making

Barbara Burke Hubbard

332 pages, parution le 31/05/1998 (2^eme édition)

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Résumé

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."

L'auteur - Barbara Burke Hubbard

Ecrivain scientifique et épouse du mathématicien John Hubbard, a rencontré les spécialistes et constitué l'histoire du traitement du signal.

Sommaire

The World According to Wavelets
- Fourier Analysis: A Poem Transforms Our World
- Seeking New Tools
- A New Language Acquires a Grammar
- Applications
- Beyond Wavelets
- The Fourier Transform
Beyond Plain English
- 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 Wavelet Transform
- Wavelets in Two Dimensions
- Pyramid Algorithms of Burt and Adelson
- Multiwavelets
- The Heisenberg Uncertainty Principle and Time-Frequency Decompositions
- Probability, 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
- App. A Mathematical Symbols
- App. B A Review of Some Elementary Trigonometry
- App. C Integrals
- App. D The Fourier Transform: The Different Conventions
- App. E The Sampling Theorem: A Proof
- App. F The Heisenberg Uncertainty Principle: A Proof
- App. G The Fourier Transform of a Periodic Function
- App. H An Example of an Orthonormal Basis and a Proof of Fourier's Result
- Further Reading
- Wavelet Software and Electronic Resources

Voir tout

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Caractéristiques techniques

	PAPIER
Éditeur(s)	AK Peters
Auteur(s)	Barbara Burke Hubbard
Parution	31/05/1998
Édition	2^eme édition
Nb. de pages	332
Format	15,5 x 23,5
Couverture	Relié
Poids	600g
Intérieur	Noir et Blanc
EAN13	9781568810720
ISBN13	978-1-56881-072-0