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.

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.

In order to draw out the relationship between publicly-oriented Christianity and education, this book demonstrates that education is an important method and prerequisite of public theology, as well as an urgent object of public theology research's attention. Featuring work from diverse academic disciplines-including religion education, theology, philosophy, and religious studies-this edited collection also contends with the educational challenges that come with the decline of religion on the one hand and its transformation and regained public relevance on the other. Taken together, the contributions to this volume provide a comprehensive argument for why education deserves systematic attention in the context of public theology discourse, and vice versa.

In order to draw out the relationship between publicly-oriented Christianity and education, this book demonstrates that education is an important method and prerequisite of public theology, as well as an urgent object of public theology research's attention. Featuring work from diverse academic disciplines-including religion education, theology, philosophy, and religious studies-this edited collection also contends with the educational challenges that come with the decline of religion on the one hand and its transformation and regained public relevance on the other. Taken together, the contributions to this volume provide a comprehensive argument for why education deserves systematic attention in the context of public theology discourse, and vice versa.

This book describes the relationship of Christian Public Theology to other religions and their ways of contributing to the common good. It also promotes mutual learning processes in public education to strengthen the public role and responsibility of religions in pluralistic societies. This volume brings together not only public education and public theology, but also scholars from a variety of disciplines such as philosophy, cultural studies, and sociology, and from different parts of the world. By doing so, the book intends to widen the horizon and provide fresh impulses for public theology as well as the discourse on public religious education.

This book describes the relationship of Christian Public Theology to other religions and their ways of contributing to the common good. It also promotes mutual learning processes in public education to strengthen the public role and responsibility of religions in pluralistic societies. This volume brings together not only public education and public theology, but also scholars from a variety of disciplines such as philosophy, cultural studies, and sociology, and from different parts of the world. By doing so, the book intends to widen the horizon and provide fresh impulses for public theology as well as the discourse on public religious education.

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.

This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics, and for researchers in universities and in industry.

- A collection of articles of highest scientific standard.
- An excellent introduction and overview of recent topics from multivariate approximation.
- A valuable source of references for specialists in the field.
- A representation of the state-of-the-art in selected areas of multivariate approximation.
- A rigorous mathematical introduction to special topics of interdisciplinary research.