Spline Functions: Basic Theory
Spline Functions: Basic Theory
$96.99
USDThis classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and students working in applied analysis, numerical analysis, computer science, and engineering. The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the biosciences. This new edition includes a supplement outlining some of the major advances in the theory since 1981, and some 250 new references. It can be used as the main or supplementary text for courses in splines, approximation theory or numerical analysis.
- Comprehensive reference, with preparatory material on polynomials, Tchebycheff systems etc, plus historical notes and comments, and comprehensive list of references
- Includes efficent algorithms for evaluating B-splines, treats generalized splines, gives full account of approximation properties of splines
- New supplement helps keep the book up to date
Product details
September 2007Paperback
9780521705127
600 pages
229 × 152 × 31 mm
0.79kg
Available
Table of Contents
- 1. Introduction
- 2. Preliminaries
- 3. Polynomials
- 4. Polynomial splines
- 5. Computational methods
- 6. Approximation power of splines
- 7. Approximation power of splines (free knots)
- 8. Other spaces of polynomial splines
- 9. Tchebycheffian splines
- 10. L-Splines
- 11. Generalized splines
- 12. Tensor-product splines
- 13. Some multidimensional tools
- Supplement
- References
- New references
- Index.
