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.
"Sinopsis" puede pertenecer a otra edición de este libro.
Armin Iske is professor of numerical approximation at the Department of Mathematics of the University of Hamburg.
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 368 pp. Englisch. Nº de ref. del artículo: 9783030052270
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Clear and comprehensible introduction to approximation theory and its applicationsOffers a constructive approach to methods and algorithmsContains a large number of examples and exercises. Nº de ref. del artículo: 256207784
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783030052270
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