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Beschreibung
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.
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.
Über den Autor
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.
Zusammenfassung
The latest edition of 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, explaining the necessary tools for understanding the many applications of splines. The new edition includes a supplement outlining 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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 2015 |
---|---|
Fachbereich: | Analysis |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521705127 |
ISBN-10: | 0521705126 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Schumaker, Larry |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 229 x 152 x 33 mm |
Von/Mit: | Larry Schumaker |
Erscheinungsdatum: | 20.08.2015 |
Gewicht: | 0,857 kg |
Über den Autor
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.
Zusammenfassung
The latest edition of 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, explaining the necessary tools for understanding the many applications of splines. The new edition includes a supplement outlining 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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 2015 |
---|---|
Fachbereich: | Analysis |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521705127 |
ISBN-10: | 0521705126 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Schumaker, Larry |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 229 x 152 x 33 mm |
Von/Mit: | Larry Schumaker |
Erscheinungsdatum: | 20.08.2015 |
Gewicht: | 0,857 kg |
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