Approximation theory
Author(s)
Bibliographic Information
Approximation theory
（Proceedings of symposia in applied mathematics, v. 36）
American Mathematical Society, c1986
Available at / 34 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
pbk. : alk. paper2070022291
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Note
AMS short course lecture notes
Includes bibliographies and index
Description and Table of Contents
Description
The papers in this book, first presented at a 1986 AMS Short Course, give a brief introduction to approximation theory and some of its current areas of active research, both theoretical and applied. The first lecture describes and illustrates the basic concerns of the field. The topics highlighted in the other lectures include the following: approximation in the complex domain, $N$-width, optimal recovery, interpolation, algorithms for approximation, and splines, with a strong emphasis on a multivariate setting for the last three topics. The book is aimed at mathematicians interested in an introduction to areas of current research and to engineers and scientists interested in exploring the field for possible applications to their own fields. The book is best understood by those with a standard first graduate course in real and complex analysis, but some of the presentations are accessible with the minimal requirements of advanced calculus and linear algebra.
Table of Contents
Approximation of functions by R. A. DeVore Polynomial and rational approximation in the complex domain by E. B. Saff $N$-widths and optimal recovery by A. Pinkus Algorithms for approximation by E. W. Cheney Algebraic aspects of interpolation by C. A. Micchelli Multivariate splines by K. Holling.
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