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A Practical Guide to Splines (Applied Mathematical Sciences (27)) by Carl R. de Boor is a mathematics available to read on EtoBox.

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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

Who reads A Practical Guide to Splines (Applied Mathematical Sciences (27))?

Author

Carl R. de Boor

Publisher

Springer US

Published

2001

Language

EN

ISBN

9780387953663

Category

mathematics

Subjects

Mathematics, Stem

Rating

4.2 / 5 (15 ratings)

Updated

2026-03-14