Download or read book Approximations, with Special Emphasis on Spline Functions written by I. J. Schoenberg and published by . This book was released on 1969 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a symposium on approximations with special emphasis on spline functions held in Madison, Wisconsin, on May 5-7, 1969 and sponsored by Mathematics Research Center, United States Army, the University of Wisconsin. Spline functions are a good tool for the numerical approximation of functions, and they suggest new, challenging, and rewarding problems. From 1957 to 1964 the various optimal properties of spline functions were discovered and their relationships clarified. The number of mathematicians engaged in practical or theoretical spline analysis has considerably increased, and these proceedings show some of the current developments and trends.