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Texts in Applied Mathematics

Approximation Theory and Algorithms for Data Analysis

Authors: Iske, Armin

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  • 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
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eBook 24,60 €
42,79 € (listprice)
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  • ISBN 978-3-030-05228-7
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valid through July 31, 2020
  • ISBN 978-3-030-05227-0
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About this Textbook

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.


About the authors

Armin Iske is professor of numerical approximation at the Department of Mathematics of the University of Hamburg.

Reviews

“This book is an excellent first course in approximation theory, covering all the aspects from theoretical results to practical methods, from discrete to continuous approximation, from univariate to multivariate. … The book is an excellent text for an undergraduate course in approximation methods. … this book is a very important textbook on approximation theory and its methods.” (Ana Cristina Matos, Mathematical Reviews, August, 2019)

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Introduction

    Pages 1-8

    Iske, Armin

  • Basic Methods and Numerical Algorithms

    Pages 9-59

    Iske, Armin

  • Best Approximations

    Pages 61-102

    Iske, Armin

  • Euclidean Approximation

    Pages 103-138

    Iske, Armin

  • Chebyshev Approximation

    Pages 139-184

    Iske, Armin

Buy this book

eBook 24,60 €
42,79 € (listprice)
price for Spain (gross)
valid through July 31, 2020
  • ISBN 978-3-030-05228-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 31,19 €
51,99 € (listprice)
price for Spain (gross)
valid through July 31, 2020
  • ISBN 978-3-030-05227-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Approximation Theory and Algorithms for Data Analysis
Authors
Series Title
Texts in Applied Mathematics
Series Volume
68
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-05228-7
DOI
10.1007/978-3-030-05228-7
Hardcover ISBN
978-3-030-05227-0
Series ISSN
0939-2475
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

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.