Approximation Theory and Algorithms for Data Analysis
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 ana...
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|---|---|
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | English |
| Vydavateľské údaje: |
Cham :
Springer International Publishing,
2018.
|
| Vydanie: | 1st ed. 2018. |
| Edícia: | Texts in Applied Mathematics,
68 |
| Predmet: | |
| ISBN: | 9783030052287 |
| ISSN: | 0939-2475 ; |
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|---|---|---|---|
| 003 | SK-BrCVT | ||
| 005 | 20220618115004.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 181214s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783030052287 | ||
| 024 | 7 | |a 10.1007/978-3-030-05228-7 |2 doi | |
| 035 | |a CVTIDW06913 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Iske, Armin. |4 aut | |
| 245 | 1 | 0 | |a Approximation Theory and Algorithms for Data Analysis |h [electronic resource] / |c by Armin Iske. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a X, 358 p. 34 illus., 15 illus. in color. |b online resource. | ||
| 490 | 1 | |a Texts in Applied Mathematics, |x 0939-2475 ; |v 68 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a 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. | |
| 516 | |a text file PDF | ||
| 520 | |a 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. | ||
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Computer mathematics. | |
| 650 | 0 | |a Signal processing. | |
| 650 | 0 | |a Image processing. | |
| 650 | 0 | |a Speech processing systems. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-030-05228-7 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE04193 | ||
| 919 | |a 978-3-030-05228-7 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 272410 |d 272410 | ||