03701nam 22006375 450 991030345090332120200629143909.03-030-05228-110.1007/978-3-030-05228-7(CKB)4100000007223472(DE-He213)978-3-030-05228-7(MiAaPQ)EBC6312502(PPN)232964327(EXLCZ)99410000000722347220181214d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierApproximation Theory and Algorithms for Data Analysis /by Armin Iske1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (X, 358 p. 34 illus., 15 illus. in color.) Texts in Applied Mathematics,0939-2475 ;683-030-05227-3 Includes bibliographical references and index.1 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.This 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.Texts in Applied Mathematics,0939-2475 ;68Approximation theoryComputer scienceMathematicsSignal processingImage processingSpeech processing systemsApproximations and Expansionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12023Computational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XSignal, Image and Speech Processinghttps://scigraph.springernature.com/ontologies/product-market-codes/T24051Approximation theory.Computer scienceMathematics.Signal processing.Image processing.Speech processing systems.Approximations and Expansions.Computational Mathematics and Numerical Analysis.Signal, Image and Speech Processing.511.4511.4Iske Arminauthttp://id.loc.gov/vocabulary/relators/aut768209MiAaPQMiAaPQMiAaPQBOOK9910303450903321Approximation Theory and Algorithms for Data Analysis1564660UNINA