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Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics)
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Ten Lectures on Wavelets (Paperback, New)
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Ten Lectures on Wavelets (Paperback, New)
Series: CBMS-NSF Regional Conference Series, No. 61
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Winner of the 1994 Leroy P. Steele Prize for excellence in
expository writing. Ingrid Daubechies received the 2000 National
Academy of Sciences (NAS) Award in Mathematics, which is given
every four years for excellence in published mathematical research.
Daubechies was chosen "for fundamental discoveries on wavelets and
wavelet expansions and for her role in making wavelet methods a
pracical basic tool of applied mathematics". Wavelets are a
mathematical development that may revolutionize the world of
information storage and retrieval according to many experts. They
are a fairly simple mathematical tool now being applied to the
compression of data--such as fingerprints, weather satellite
photographs, and medical x-rays--that were previously thought to be
impossible to condense without losing crucial details. This
monograph contains 10 lectures presented by Dr. Daubechies as the
principal speaker at the 1990 CBMS-NSF Conference on Wavelets and
Applications. The author has worked on several aspects of the
wavelet transform and has developed a collection of wavelets that
are remarkably efficient. The opening chapter provides an overview
of the main problems presented in the book. Following chapters
discuss the theoretical and practical aspects of wavelet theory,
including wavelet transforms, orthonormal bases of wavelets, and
characterization of functional spaces by means of wavelets. The
last chapter presents several topics under active research, as
multidimensional wavelets, wavelet packet bases, and a construction
of wavelets tailored to decompose functions defined in a finite
interval. Because of their interdisciplinary origins, wavelets
appeal to scientists and engineers of many different backgrounds.
Special Features:* Only comprehensive book in English on this
subject.* Ideal for mapping out a graduate course or a seminar on
the subject.* Includes an extensive bibliography.
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