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＜電子ブック＞
Wavelet Analysis : The Scalable Structure of Information / by Howard L. Resnikoff, Raymond O.Jr. Wells

版	1st ed. 1998.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1998
本文言語	英語
大きさ	XVI, 435 p : online resource
著者標目	*Resnikoff, Howard L author Wells, Raymond O.Jr author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Signal processing LCSH:Fourier analysis LCSH:Numerical analysis LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Artificial intelligence FREE:Applications of Mathematics FREE:Signal, Speech and Image Processing FREE:Fourier Analysis FREE:Numerical Analysis FREE:Mathematical Applications in Computer Science FREE:Artificial Intelligence
一般注記	I. The Scalable Structure of Information -- 1 The New Mathematical Engineering -- 2 Good Approximations -- 3 Wavelets: A Positional Notation for Functions -- II Wavelet Theory -- 4 Algebra and Geometry of Wavelet Matrices -- 5 One-Dimensional Wavelet Systems -- 6 Examples of One-Dimensional Wavelet Systems -- 7 Higher-Dimensional Wavelet Systems -- III Wavelet Approximation and Algorithms -- 8 The Mallat Algorithm -- 9 Wavelet Approximation -- 10 Wavelet Calculus and Connection Coefficients -- 11 Multiscale Representation of Geometry -- 12 Wavelet-Galerkin Solutions of Partial Differential Equations -- IV Wavelet Applications -- 14 Modulation and Channel Coding -- References The authors have been beguiled and entranced by mathematics all of their lives, and both believe it is the highest expression of pure thought and an essential component-one might say the quintessence-of nature. How else can one ex­ plain the remarkable effectiveness of mathematics in describing and predicting the physical world? The projection of the mathematical method onto the subspace of human endeav­ 1 ors has long been a source of societal progress and commercial technology. The invention of the electronic digital computer (not the mechanical digital computer of Babbage) has made the role of mathematics in civilization even more central by making mathematics active in the operation of products. The writing of this book was intertwined with the development of a start-up company, Aware, Inc. Aware was founded in 1987 by one of the authors (H.L.R.), and the second author (R.O.W.) put his shoulder to the wheel as a consultant soon after HTTP:URL=https://doi.org/10.1007/978-1-4612-0593-7

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