Authors:
- Clear and comprehensible introduction to approximation theory and its applications
- Offers a constructive approach to methods and algorithms
- Contains a large number of examples and exercises
Part of the book series: Texts in Applied Mathematics (TAM, volume 68)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
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.
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Authors and Affiliations
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Department of Mathematics, University of Hamburg, Hamburg, Germany
Armin Iske
About the author
Bibliographic Information
Book Title: Approximation Theory and Algorithms for Data Analysis
Authors: Armin Iske
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-3-030-05228-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-05227-0Published: 03 January 2019
eBook ISBN: 978-3-030-05228-7Published: 14 December 2018
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: X, 358
Number of Illustrations: 19 b/w illustrations, 15 illustrations in colour
Additional Information: Original German edition published by Springer-Verlag GmbH, Heidelberg, 2017. Title of German edition: Approximation.
Topics: Approximations and Expansions, Computational Mathematics and Numerical Analysis, Signal, Image and Speech Processing