Research Catalog
A practical guide to splines : with 32 figures
- Title
- A practical guide to splines : with 32 figures / Carl de Boor.
- Author
- De Boor, Carl.
- Publication
- New York : Springer, 2001.
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| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Request in advance | QA224 .A647 2001 | Off-site |
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Details
- Description
- xviii, 346 pages : illustrations; 24 cm.
- Series Statement
- Applied mathematical sciences ; v. 27
- Uniform Title
- Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 27.
- Subject
- Spline theory
- Bibliography (note)
- Includes bibliographical references (p. 331-339) and index.
- Contents
- I. Polynomial Interpolation -- II. Limitations of Polynomial Approximation -- III. Piecewise Linear Approximation -- IV. Piecewise Cubic Interpolation -- V. Best Approximation Properties of Complete Cubic Spline Interpolation and Its Error -- VI. Parabolic Spline Interpolation -- VII. A Representation for Piecewise Polynomial Functions -- VIII. The Spaces II[subscript [lesser than] k, [xi], [nu]] and the Truncated Power Basis -- IX. The Representation of PP Functions by B-Splines -- X. The Stable Evaluation of B-Splines and Splines -- XI. The B-Spline Series, Control Points, and Knot Insertion -- XII. Local Spline Approximation and the Distance from Splines -- XIII. Spline Interpolation -- XIV. Smoothing and Least-Squares Approximation -- XV. The Numerical Solution of an Ordinary Differential Equation by Collocation -- XVI. Taut Splines, Periodic Splines, Cardinal Splines and the Approximation of Curves -- XVII. Surface Approximation by Tensor Products --
- App. Fortran Programs.
- ISBN
- 0387953663 (alk. paper)
- LCCN
- 2001049644
- OCLC
- ocm47996328
- SCSB-4248185
- Owning Institutions
- Columbia University Libraries