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100   $a20181214d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aApproximation Theory and Algorithms for Data Analysis /$fby Armin Iske
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (X, 358 p. 34 illus., 15 illus. in color.) 
225 1 $aTexts in Applied Mathematics,$x0939-2475 ;$v68
311   $a3-030-05227-3 
320   $aIncludes bibliographical references and index.
327   $a1 Introduction -- 2 Basic Methods and Numerical Analysis -- 3 Best Approximations -- 4 Euclidean Approximations -- 5 Chebyshev Approximations -- 6 Asymptotic Results -- 7 Basic Concepts of Signal Approximation -- 8 Kernel-Based Approximation -- 9 Computational Topology -- References -- Subject Index -- Name Index.
330   $aThis textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role. The following topics are covered: * least-squares approximation and regularization methods * interpolation by algebraic and trigonometric polynomials * basic results on best approximations * Euclidean approximation * Chebyshev approximation * asymptotic concepts: error estimates and convergence rates * signal approximation by Fourier and wavelet methods * kernel-based multivariate approximation * approximation methods in computerized tomography Providing numerous supporting examples, graphical illustrations, and carefully selected exercises, this textbook is suitable for introductory courses, seminars, and distance learning programs on approximation for undergraduate students.
410  0$aTexts in Applied Mathematics,$x0939-2475 ;$v68
606   $aApproximation theory
606   $aComputer science$xMathematics
606   $aSignal processing
606   $aImage processing
606   $aSpeech processing systems
606   $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
606   $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051
615  0$aApproximation theory.
615  0$aComputer science$xMathematics.
615  0$aSignal processing.
615  0$aImage processing.
615  0$aSpeech processing systems.
615 14$aApproximations and Expansions.
615 24$aComputational Mathematics and Numerical Analysis.
615 24$aSignal, Image and Speech Processing.
676   $a511.4
676   $a511.4
700   $aIske$b Armin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768209
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910303450903321
996   $aApproximation Theory and Algorithms for Data Analysis$91564660
997   $aUNINA