Approximation Theory and Algorithms for Data Analysis

Armin Iske

ISBN 10: 3030052273 / ISBN 13: 9783030052270

Verlag: Springer International Publishing, Springer International Publishing Jan 2019, 2019

Beschreibung

Neuware -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 tomographyProviding 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 368 pp. Englisch.

Bestandsnummer des Verkäufers 9783030052270

Bibliografische Details

• Titel: Approximation Theory and Algorithms for Data Analysis
• Verlag: Springer International Publishing, Springer International Publishing Jan 2019
• Erscheinungsjahr: 2019
• Sprache: Englisch
• ISBN-10: 3030052273
• ISBN-13: 9783030052270
• Einband: Buch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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