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Approximation Theory

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Produktnummer: 18a74f89eaca2242a2a0460b36daf764c6
Autor: Christensen, Khadija Laghrida Christensen, Ole
Themengebiete: Fourier transform Haar wavelet Symbol data compression harmonic analysis signal analysis signal processing
Veröffentlichungsdatum: 18.03.2004
EAN: 9780817636005
Sprache: Englisch
Seitenzahl: 156
Produktart: Kartoniert / Broschiert
Verlag: Birkhäuser Boston
Untertitel: From Taylor Polynomials to Wavelets
Produktinformationen "Approximation Theory"
This book gives an elementary introduction to a classical area of mathemat ics - approximation theory - in a way that naturally leads to the modern field of wavelets. The main thread throughout the book is the idea of ap proximating "complicated expressions" with "simpler expressions," and how this plays a decisive role in many areas of modern mathematics and its applications. One of the main goals of the presentation is to make it clear to the reader that mathematics is a subject in a state of continuous evolution. This fact is usually difficult to explain to students at or near their second year of uni versity. Often, teachers do not have adequate elementary material to give to students as motivation and encouragement for their further studies. The present book will be of use in this context because the exposition demon strates the dynamic nature of mathematics and how classical disciplines influence many areas of modern mathematics and applications. The book may lead readers toward more advanced literature, such as the other pub lications in the Applied and Numerical Harmonic Analysis series (ANHA), by introducing ideas presented in several of those books in an elementary context. The focus here is on ideas rather than on technical details, and the book is not primarily meant to be a textbook.
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