Approximation Theory: From Taylor Polynomials to Wavelets / Edition 1

by Ole Christensen, Khadija Laghrida Christensen

Overview

This concisely written book gives an elementary introduction to a classical area of mathematics – approximation theory – in a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications. Featuring classical, illustrative examples and constructions, exercises, and a discussion of the role of wavelets to areas such as digital signal processing and data compression, the book is one of the few to describe wavelets in words rather than mathematical symbols.

Product Details

ISBN-13:	9780817636005
Publisher:	Birkhäuser Boston
Publication date:	03/18/2004
Series:	Applied and Numerical Harmonic Analysis
Edition description:	2004
Pages:	156
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

About the Author

Ole Christensen is the author of An Introduction to Frames and Riesz Bases (0-8176-4295-1).

Table of Contents

Preface.- Approximation with Polynomials.- Infinite Series.- Fourier Analysis.- Wavelets and Applications.- Wavelets and their Mathematical Properties.- Appendix A.- Appendix B.- Appendix C.- Appendix D.- References.- Index

Editorial Reviews

"Approximation methods and wavelets have found many important applications in signal processing. This well-written textbook provides an elementary introduction to approximation theory. The authors concentrate on the presentation of main ideas and demonstrate the great influence of classical approximation theory on modern applied mathematics. This book, with many illustrative examples, is easy to read…[and] will be very useful for anyone interested in approximation theory and wavelets." —Zentralblatt Math

From the Publisher