Approximation Theory and Algorithms for Data Analysis by Armin Iske

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Approximation Theory and Algorithms for Data Analysis by Armin Iske

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.


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 multivariateThe 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)
Armin Iske is professor of numerical approximation at the Department of Mathematics of the University of Hamburg.
SKU Unavailable
ISBN 13 9783030052270
ISBN 10 3030052273
Title Approximation Theory and Algorithms for Data Analysis
Author Armin Iske
Series Texts In Applied Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Springer Nature Switzerland AG
Year published 2019-01-03
Number of pages 358
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.