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Cambridge University Press
16 August 2007
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.
By:   Larry Schumaker (Vanderbilt University Tennessee)
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Edition:   3rd Revised edition
Dimensions:   Height: 229mm,  Width: 152mm,  Spine: 31mm
Weight:   790g
ISBN:   9780521705127
ISBN 10:   0521705126
Series:   Cambridge Mathematical Library
Pages:   600
Publication Date:   16 August 2007
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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.

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.

Reviews for Spline Functions: Basic Theory

'... highly useful ...' Zentralblatt MATH

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