Spline Functions: Basic Theory
Basic Theory
3rd Edition
Published on 24. October 2007
978-0-511-33206-7 (ISBN)
Description
This 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.
Reviews / Votes
'... highly useful ...' Zentralblatt MATHMore details
Series
Edition
3rd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
Worked examples or Exercises
File size
18,96 MB
ISBN-13
978-0-511-33206-7 (9780511332067)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
08/2007
3rd Edition
Cambridge University Press
€108.80
Shipment within 15-20 days
Person
Larry L. Schumaker has been the Stevenson Professor of Mathematics at Vanderbilt University since 1988. he has held visiting positions in Munich, Berlin, Wurzburg, Wisconsin and Sao Paulo, and faculty positions at the University of Texas, Austin, and Texas A&M University. He has published over 160 research papers, edited 32 proceedings volumes, and translated four works, as well as authoring two books.
Content
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.
