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Multivariate Polynomial Approximation (Paperback, Softcover reprint of the original 1st ed. 2003): Manfred Reimer Multivariate Polynomial Approximation (Paperback, Softcover reprint of the original 1st ed. 2003)
Manfred Reimer
R1,581 Discovery Miles 15 810 Ships in 10 - 15 working days

Multivariate polynomials are a main tool in approximation. The book begins with an introduction to the general theory by presenting the most important facts on multivariate interpolation, quadrature, orthogonal projections and their summation, all treated under a constructive view, and embedded in the theory of positive linear operators. On this background, the book gives the first comprehensive introduction to the recently developped theory of generalized hyperinterpolation. As an application, the book gives a quick introduction to tomography. Several parts of the book are based on rotation principles, which are presented in the beginning of the book, together with all other basic facts needed.

Recent Progress in Multivariate Approximation - 4th International Conference, Witten-Bommerholz(Germany), September 2000... Recent Progress in Multivariate Approximation - 4th International Conference, Witten-Bommerholz(Germany), September 2000 (Paperback, Softcover reprint of the original 1st ed. 2001)
Werner Haussmann, Kurt Jetter, Manfred Reimer
R1,549 Discovery Miles 15 490 Ships in 10 - 15 working days

Nineteen contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. An essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.

Modern Developments in Multivariate Approximation - 5th International Conference, Witten-Bommerholz (Germany), September 2002... Modern Developments in Multivariate Approximation - 5th International Conference, Witten-Bommerholz (Germany), September 2002 (Hardcover, 2003 ed.)
Werner Haussmann, Kurt Jetter, Manfred Reimer, Joachim Stoeckler
R3,156 Discovery Miles 31 560 Ships in 10 - 15 working days

This volume contains a selection of eighteen peer-reviewed articles that were presented at the 5th International Conference on Multivariate Approximation, held in Witten-Bommerholz in September 2002. The contributions cover recent developments of constructive approximation on manifolds, approximation by splines and kernels, subdivision techniques and wavelet methods.
The main topics are:
- applications of multivariate approximation in finance
- approximation and stable reconstruction of images, data reduction
- multivariate splines for Lagrange interpolation and quasi-interpolation
- radial basis functions
- spherical point sets
- refinable function vectors and non-stationary subdivision
- applications of adaptive wavelet methods
- blending functions and cubature formulae
- singularities of harmonic functions
The book provides an overview of state-of-the-art developments in a highly relevant field of applied mathematics, with many links to computer science and geophysics.

Der Klang als Formel (German, Paperback, 2nd 2., Verbesserte Auflage ed.): Manfred Reimer Der Klang als Formel (German, Paperback, 2nd 2., Verbesserte Auflage ed.)
Manfred Reimer
R1,939 R1,471 Discovery Miles 14 710 Save R468 (24%) Ships in 10 - 15 working days
Multivariate Polynomial Approximation (Hardcover): Manfred Reimer Multivariate Polynomial Approximation (Hardcover)
Manfred Reimer
R2,749 Discovery Miles 27 490 Ships in 10 - 15 working days

Multivariate polynomials are a main tool in approximation. The book begins with an introduction to the general theory by presenting the most important facts on multivariate interpolation, quadrature, orthogonal projections and their summation, all treated under a constructive view, and embedded in the theory of positive linear operators. On this background, the book gives the first comprehensive introduction to the recently developped theory of generalized hyperinterpolation. As an application, the book gives a quick introduction to tomography. Several parts of the book are based on rotation principles, which are presented in the beginning of the book, together with all other basic facts needed.

Recent Progress in Multivariate Approximation - 4th International Conference, Witten-Bommerholz (Germany), September 2000... Recent Progress in Multivariate Approximation - 4th International Conference, Witten-Bommerholz (Germany), September 2000 (Hardcover)
Werner Haussmann, K. Jetter, Manfred Reimer
R2,711 Discovery Miles 27 110 Ships in 10 - 15 working days

This volume presents the main results of the 4th International Conference on Multivariate Approximation, which was held at Witten-Bommerholz, September 24-29, 2000. Nineteen selected, peer-reviewed contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision.
Features and Topics:
interpolation and approximation on compact sets, kergin interpolation
error asymptotics
radial basis functions
energy minimizing configurations on the sphere
quadrature and cubature formulae
harmonic functions near a zero
blending functions
frames and approximation of inverse frame operators
The book is an essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.

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