000 03618nam a22005175i 4500
001 978-1-4614-6006-0
003 DE-He213
005 20140220082822.0
007 cr nn 008mamaa
008 121116s2013 xxu| s |||| 0|eng d
020 _a9781461460060
_9978-1-4614-6006-0
024 7 _a10.1007/978-1-4614-6006-0
_2doi
050 4 _aQA403-403.3
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.785
_223
100 1 _aNievergelt, Yves.
_eauthor.
245 1 0 _aWavelets Made Easy
_h[electronic resource] /
_cby Yves Nievergelt.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Birkhäuser,
_c2013.
300 _aXIII, 297 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModern Birkhäuser Classics
505 0 _aPreface -- Outline -- A. Algorithms for Wavelet Transforms -- Haar's Simple Wavelets -- Multidimensional Wavelets and Applications -- Algorithms for Daubechies Wavelets -- B. Basic Fourier Analysis -- Inner Products and Orthogonal Projections -- Discrete and Fast Fourier Transforms -- Fourier Series for Periodic Functions -- C. Computation and Design of Wavelets -- Fourier Transforms on the Line and in Space -- Daubechies Wavelets Design -- Signal Representations with Wavelets. D. Directories -- Acknowledgements -- Collection of Symbols -- Bibliography -- Index. .
520 _aOriginally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets.  Written at the level of a first course in calculus and linear algebra, its accessible presentation is designed for undergraduates in a variety of disciplines—computer science, engineering, mathematics, mathematical sciences—as well as for practicing professionals in these areas.    The present softcover reprint retains the corrections from the second printing (2001) and makes this unique text available to a wider audience. The first chapter starts with a description of the key features and applications of wavelets, focusing on Haar's wavelets but using only high-school mathematics. The next two chapters introduce one-, two-, and three-dimensional wavelets, with only the occasional use of matrix algebra.   The second part of this book provides the foundations of least-squares approximation, the discrete Fourier transform, and Fourier series. The third part explains the Fourier transform and then demonstrates how to apply basic Fourier analysis to designing and analyzing mathematical wavelets. Particular attention is paid to Daubechies wavelets.   Numerous exercises, a bibliography, and a comprehensive index combine to make this book an excellent text for the classroom as well as a valuable resource for self-study.
650 0 _aMathematics.
650 0 _aHarmonic analysis.
650 0 _aFourier analysis.
650 0 _aComputer science
_xMathematics.
650 0 _aComputer engineering.
650 1 4 _aMathematics.
650 2 4 _aAbstract Harmonic Analysis.
650 2 4 _aFourier Analysis.
650 2 4 _aElectrical Engineering.
650 2 4 _aApplications of Mathematics.
650 2 4 _aComputational Mathematics and Numerical Analysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461460053
830 0 _aModern Birkhäuser Classics
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-6006-0
912 _aZDB-2-SMA
999 _c95560
_d95560