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Approximation Theory and Algorithms for Data Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Approximation Theory and Algorithms for Data Analysis/ by Armin Iske.
作者:	Iske, Armin.
面頁冊數:	X, 358 p. 34 illus., 15 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Approximation theory. -
電子資源:	https://doi.org/10.1007/978-3-030-05228-7
ISBN:	9783030052287

Approximation Theory and Algorithms for Data Analysis
Iske, Armin.

Approximation Theory and Algorithms for Data Analysis[electronic resource] /by Armin Iske. - 1st ed. 2018. - X, 358 p. 34 illus., 15 illus. in color.online resource. - Texts in Applied Mathematics,680939-2475 ;. - Texts in Applied Mathematics,59.

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.

ISBN: 9783030052287

Standard No.: 10.1007/978-3-030-05228-7doiSubjects--Topical Terms:

527707
Approximation theory.

LC Class. No.: QA401-425

Dewey Class. No.: 511.4

Approximation Theory and Algorithms for Data Analysis
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