Approximation Theory: From Taylor Polynomials to Wavelets

Ole Christensen

ISBN 10: 0817636005 / ISBN 13: 9780817636005

Verlag: Birkhauser Boston Inc, 2004

New copy - Usually dispatched within 7-11 working days. Bestandsnummer des Verkäufers B9780817636005

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor:

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

Bibliografische Details

Titel: Approximation Theory: From Taylor ...
Verlag: Birkhauser Boston Inc
Erscheinungsdatum: 2004
Einband: Paperback / softback
Zustand: New
Auflage: 2. Auflage