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Nonlinear Approximation Theory by Dr. Dietrich Braess (auth.) is a nonfiction available to read on EtoBox.

What is Nonlinear Approximation Theory about?

The first investigations of nonlinear approximation problems were made by P.L. Chebyshev in the last century, and the entire theory of uniform approxima­ tion is strongly connected with his name. By making use of his ideas, the theories of best uniform approximation by rational functions and by polynomials were developed over the years in an almost unified framework. The difference between linear and rational approximation and its implications first became apparent in the 1960's. At roughly the same time other approaches to nonlinear approximation were also developed. The use of new tools, such as nonlinear functional analysis and topological methods, showed that linearization is not sufficient for a complete treatment of nonlinear families. In particular, the application of global analysis and the consideration of flows on the family of approximating functions intro­ duced ideas which were previously unknown in approximation theory. These were and still are important in many branches of analysis. On the other hand, methods developed for nonlinear approximation prob­ lems can often be successfully applied to problems which belong to or arise from linear approximation. An important

Who reads Nonlinear Approximation Theory?

Author

Dr. Dietrich Braess (auth.)

Publisher

Springer-Verlag Berlin Heidelberg

Published

1986

Language

EN

ISBN

9783642616099

Category

nonfiction

Subjects

Mathematics, Stem