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Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis) Paperback - 2004 - 6th Edition
by Christensen, Ole
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- Paperback
- first
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Details
- Title Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis)
- Author Christensen, Ole
- Binding Paperback
- Edition number 6th
- Edition 1st ed. 2004., Corr. 2nd printing 2005, Corr. 3rd printing 2006
- Condition Used: Good
- Pages 156
- Volumes 1
- Language ENG
- Publisher Birkh
- Publication date 2004-03-18
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- Bookseller's Inventory # SONG0817636005
- ISBN 9780817636005 / 0817636005
- Weight 0.66 lbs (0.30 kg)
- Dimensions 9.14 x 6.26 x 0.43 in (23.22 x 15.90 x 1.09 cm)
- Size 6.10x0.39x9.25
- Category Mathematics
- Library of Congress subjects Approximation theory
- Library of Congress Catalogue Number 2004043741
- Dewey Decimal Code 511.4
- Quantity available 1
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From the publisher
First line
In many applications of mathematics, we face functions which are far more complicated than the standard functions from classical analysis.
From the rear cover
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.
Key features and topics:
* Description of wavelets in words rather than mathematical symbols
* Elementary introduction to approximation using polynomials (Weierstrass' and Taylor's theorems)
* Introduction to infinite series, with emphasis on approximation-theoretic aspects
* Introduction to Fourier analysis
* Numerous classical, illustrative examples and constructions
* Discussion of the role of wavelets in digital signal processing and data compression, such as the FBI's use of wavelets to store fingerprints
* Minimal prerequisites: elementary calculus
* Exercises that may be used in undergraduate and graduate courses on infinite series and Fourier series
Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbook or self-study reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas.
