Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Internet Mathematics Library

Approximations and Expansions

_____________________________________
Library Home || Full Table of Contents || Suggest a Link || Library Help
_____________________________________

Visit this site: http://www.math.niu.edu/~rusin/known-math/index/41-XX.html

Author:Dave Rusin; The Mathematical Atlas
Description: A short article designed to provide an introduction to approximations and expansions, which primarily concern the approximation of classes of real functions by functions of special types. This includes approximations by linear functions, polynomials (not just the Taylor polynomials), rational functions, and so on; approximations by trigonometric polynomials is separated into Fourier analysis (below). Topics include criteria for goodness of fit, error bounds, stability upon change of approximating family, and preservation of functional characteristics (e.g. differentiability) under approximation. Effective techniques for specific kinds of approximation are also prized. This is also the area covering interpolation and splines. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.

Levels: College
Languages: English
Resource Types: Articles
Math Topics: Approximation/Expansion

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.The Math Forum is a research and educational enterprise of the Drexel University School of Education.