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Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball (Applied and Numerical Harmonic Analysis) - Tapa dura
Sinopsis
Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author's lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets.
Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth's or the brain's interior. Specific topics covered include:
* the advantages and disadvantages of Fourier, spline, and wavelet methods
* theory and numerics of orthogonal polynomials on intervals, spheres, and balls
* cubic splines and splines based on reproducing kernels
* multiresolution analysis using wavelets and scaling functions
This textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields.
"Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
Dr. Volker Michel teaches at University of Siegen
De la contraportada
Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author s lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets.
Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth s or the brain s interior. Specific topics covered include:
* the advantages and disadvantages of Fourier, spline, and wavelet methods
* theory and numerics of orthogonal polynomials on intervals, spheres, and balls
* cubic splines and splines based on reproducing kernels
* multiresolution analysis using wavelets and scaling functions
This textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields.
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialBirkhäuser
- Año de publicación2012
- ISBN 10 0817684026
- ISBN 13 9780817684020
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas346
- Contacto del fabricanteno disponible
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Lectures on Constructive Approximation
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Combines an explanation of classical and modern approximation methods for Euclidean and spherical geometries Detailed explanations and illustrations included to optimize the understanding of topics Concentrates on the essentials for a cours. Nº de ref. del artículo: 5976006
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Lectures on Constructive Approximation
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ISBN 10: 0817684026
ISBN 13: 9780817684020
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author's lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets.Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth's or the brain's interior. Specific topics covered include:\* the advantages and disadvantages of Fourier, spline, and wavelet methods\* theory and numerics of orthogonal polynomials on intervals, spheres, and balls\* cubic splines and splines based on reproducing kernels\* multiresolution analysis using wavelets and scaling functionsThis textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields. 344 pp. Englisch. Nº de ref. del artículo: 9780817684020
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Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball (Applied and Numerical Harmonic Analysis)
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Lectures on Constructive Approximation : Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball
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Birkhäuser Boston, Birkhäuser Boston, 2012
ISBN 10: 0817684026
ISBN 13: 9780817684020
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author's lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets.Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth's or the brain's interior. Specific topics covered include:\* the advantages and disadvantages of Fourier, spline, and wavelet methods\* theory and numerics of orthogonal polynomials on intervals, spheres, and balls\* cubic splines and splines based on reproducing kernels\* multiresolution analysis using wavelets and scaling functionsThis textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields. Nº de ref. del artículo: 9780817684020
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Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball
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Lectures on Constructive Approximation
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Birkhäuser Boston, Birkhäuser Boston Dez 2012, 2012
ISBN 10: 0817684026
ISBN 13: 9780817684020
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
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Buch. Condición: Neu. Neuware -Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author¿s lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets.Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth¿s or the brain¿s interior. Specific topics covered include:\* the advantages and disadvantages of Fourier, spline, and wavelet methods\* theory and numerics of orthogonal polynomials on intervals, spheres, and balls\* cubic splines and splines based on reproducing kernels\* multiresolution analysis using wavelets and scaling functionsThis textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 344 pp. Englisch. Nº de ref. del artículo: 9780817684020
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