Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis) - Couverture souple

Livre 40 sur 88: Applied and Numerical Harmonic Analysis

Christensen, Ole

 
9780817636005: Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis)
Couverture souple
ISBN 10 : 0817636005 ISBN 13 : 9780817636005
Editeur : Birkhäuser Boston, 2004

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser Boston
Date d'édition
2004
Langue
anglais
ISBN 10 
0817636005
ISBN 13 
9780817636005
Reliure
Broché
Numéro d'édition
2
Nombre de pages
172
Coordonnées du fabricant
non disponible
Personne responsable
non disponible