an:01689656
Zbl 0987.65015
De Boor, Carl
A practical guide to splines. Rev. ed
EN
Applied Mathematical Sciences. 27. New York, NY: Springer. xviii, 346 p. (2001).
00404005
2001
b
65D07 65-02 41-02 41A15
FORTRAN 77; MATLAB; textbook; \(B\)-spline; polynomial splines
This is a revised edition of a former book (1978; Zbl 0406.41003). It differs from the original version with respect to the typesetting in \TeX, to upgrading FORTRAN programs to FORTRAN 77, and to by MATLAB redrawed figures. Various errors have been corrected, and many informal statements have been provided with proofs. Major changes have occured in chapter IX-XI on developing \(B\)-spline theory directly from recurrence relations.
This book is a classical one with respect to calculating polynomial splines. The listed FORTRAN 77 subroutines and main programs are available via netlib. The references might not be fully up-to-date. The author is an outstanding spline expert. Thus the book ought to belong to every university library and to anyone interested in spline theory and applications.
Helmuth Sp??th (Oldenburg)
Zbl 0406.41003