TY - BOOK ID - 30844264 TI - Wavelets Made Easy PY - 2013 SN - 9780817640613 0817640614 3764340614 9783764340612 9781461460053 1461460050 1461268230 1461205735 1461460069 PB - New York, NY : Springer New York : Imprint: Birkhäuser, DB - UniCat KW - Wavelets (Mathematics) KW - 519.6 KW - 519.65 KW - 519.65 Approximation. Interpolation KW - Approximation. Interpolation KW - 519.6 Computational mathematics. Numerical analysis. Computer programming KW - Computational mathematics. Numerical analysis. Computer programming KW - Wavelet analysis KW - Harmonic analysis KW - Wavelets (Mathematics). KW - Civil & Environmental Engineering KW - Operations Research KW - Applied Mathematics KW - 517.518.8 KW - 517.518.8 Approximation of functions by polynomials and their generalizations KW - Approximation of functions by polynomials and their generalizations KW - Ondelettes KW - Mathematics. KW - Harmonic analysis. KW - Fourier analysis. KW - Applied mathematics. KW - Engineering mathematics. KW - Computer mathematics. KW - Electrical engineering. KW - Abstract Harmonic Analysis. KW - Fourier Analysis. KW - Electrical Engineering. KW - Applications of Mathematics. KW - Computational Mathematics and Numerical Analysis. KW - Algebra KW - Harmonic analysis. Fourier analysis KW - Analysis (Mathematics) KW - Functions, Potential KW - Potential functions KW - Banach algebras KW - Calculus KW - Mathematical analysis KW - Mathematics KW - Bessel functions KW - Fourier series KW - Harmonic functions KW - Time-series analysis KW - Computer engineering. KW - Computer science KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Math KW - Science KW - Computers KW - Analysis, Fourier KW - Design and construction KW - Ondelettes. KW - Engineering KW - Engineering analysis KW - Electric engineering KW - Functional analysis. KW - Functional Analysis. KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations UR - https://www.unicat.be/uniCat?func=search&query=sysid:30844264 AB - Originally 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. ER -