webpage updated 2/29/2012
Schumaker Larry L.
Orig. Ed 1981, Reprint Ed. 1993
This book is devoted to the basic theory of spline functions, both in the polynomial case and for more general piecewise structure (including Tchebycheffian and L-Splines). It covers the study of main algebraic, analytic, and approximation-theoretic properties of various spaces of splines (which in their simplest form are just spaces of piecewise polynomials). In Chapters 1 through 3, background and reference material are presented. The heart of the book consists of Chapters 4 through 8, where polynomial splines are treated; Chapters 9 through 11 deal with the theory of generalized splines; and Chapters 12 and 13 are devoted to multidimensional splines.