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A Practical Guide to Splines | 
 enlarge | Author: Carl De Boor
Publisher: Springer
Category: Book
List Price: $89.95
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Rating:  3 reviews
Sales Rank: 511953
Media: Hardcover
Pages: 368
Number Of Items: 1
Shipping Weight (lbs): 1.3
Dimensions (in): 9.3 x 6.1 x 1.1
ISBN: 0387953663
EAN: 9780387953663
Publication Date: November 29, 2001
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Product Description
This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines. After two chapters summarizing polynomial approximation, a rigorous discussion of elementary spline theory is given involving linear, cubic and parabolic splines. The computational handling of piecewise polynomial functions (of one variable) of arbitrary order is the subject of chapters VII and VIII, while chapters IX, X, and XI are devoted to B-splines. The distances from splines with fixed and with variable knots is discussed in chapter XII. The remaining five chapters concern specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting. The present text version differs from the original in several respects. The book is now typeset (in plain TeX), the Fortran programs now make use of Fortran 77 features. The figures have been redrawn with the aid of Matlab, various errors have been corrected, and many more formal statements have been provided with proofs. Further, all formal statements and equations have been numbered by the same numbering system, to make it easier to find any particular item. A major change has occured in Chapters IX-XI where the B-spline theory is now developed directly from the recurrence relations without recourse to divided differences. This has brought in knot insertion as a powerful tool for providing simple proofs concerning the shape-preserving properties of the B-spline series.
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| Customer Reviews:
 de Boor's "A Practical Guide to Splines" June 14, 2005
Umesh Mathur (Houston, TX, USA)
6 out of 7 found this review helpful
This is absolutely the most excellent book on the subject ever written. It is rigorous, accessible to those who are not professional mathematicians, and full of examples. Using de Boor's public domain software is a cinch, but you need to read the book to fully understand how to do it properly. I really wonder how I got along without it all these years.
 Splines are more than you thought May 9, 2000
Michael Hoenquist (Copenhagen, Denmark)
16 out of 18 found this review helpful
This is a very nice book about splines for all who needs interpolation of data and are getting a bit nervous about the somewhat improper behaviour of normal cubic splines, i.e., the ones you learned about in your undergrad exam. The author provides both illustrative examles with computer codes (in FORTRAN) and describes the necessary theoretical background. Compared with many other books, it is readable also for a non-mathematician, although some experience with numerical analysis will be most helpful.
de Boor Splines June 19, 2008
David Allen Zeigler
Excellent content but is typewritten. Hard to read using "modern"-eyes. Aside from the presentation, the content is well written (as usual for de Boor) and complete. A very good introduction to splines and applications.
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