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Approximation Theory and Algorithms for Data Analysis: 68 (Texts in Applied Mathematics) - Hardcover
Inhaltsangabe
<P>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.</P><P></P><P></P> <P>THE FOLLOWING TOPICS ARE COVERED:<BR></P><P></P> <P>* LEAST-SQUARES APPROXIMATION AND REGULARIZATION METHODS</P><P></P> <P>* INTERPOLATION BY ALGEBRAIC AND TRIGONOMETRIC POLYNOMIALS</P> <P>* BASIC RESULTS ON BEST APPROXIMATIONS</P> <P>* EUCLIDEAN APPROXIMATION</P> <P>* CHEBYSHEV APPROXIMATION</P> <P>* ASYMPTOTIC CONCEPTS: ERROR ESTIMATES AND CONVERGENCE RATES</P> <P>* SIGNAL APPROXIMATION BY FOURIER AND WAVELET METHODS</P> <P>* KERNEL-BASED MULTIVARIATE APPROXIMATION</P> <P>* APPROXIMATION METHODS IN COMPUTERIZED TOMOGRAPHY</P> <P>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.<BR></P><P></P><BR><P></P>
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Reseña del editor
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.
Biografía del autor
Armin Iske is professor of numerical approximation at the Department of Mathematics of the University of Hamburg.
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- VerlagSpringer
- Erscheinungsdatum2019
- ISBN 10 3030052273
- ISBN 13 9783030052270
- EinbandTapa dura
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten370
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Approximation theory and algorithms for data analysis.
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Hardcover. X, 358eiten, 34 illu S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. AB-8188 9783030052270 Sprache: Englisch Gewicht in Gramm: 550. Artikel-Nr. 2382050
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Approximation Theory and Algorithms for Data Analysis
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Approximation Theory and Algorithms for Data Analysis (Texts in Applied Mathematics, 68)
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Approximation Theory and Algorithms for Data Analysis
Verlag:
Springer International Publishing, 2019
ISBN 10: 3030052273
ISBN 13: 9783030052270
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Buch. Zustand: 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. Artikel-Nr. 9783030052270
Anzahl: 1 verfügbar