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Approximation Theory: From Taylor Polynomials to Wavelets

Approximation Theory: From Taylor Polynomials to Wavelets

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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. Included are classical, illustrative examples and constructions, exercises, and a discussion of the role of wavelets to areas such as digital signal processing and data compression.

One of the few books to describe wavelets in words rather than mathematical symbols, the work will be an excellent textbook or self-study reference for advanced undergraduate/beginning graduate 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.

Author: Ole Christensen, Khadija Laghrida Christensen
Publisher: Birkhauser
Published: 03/18/2004
Pages: 156
Binding Type: Paperback
Weight: 0.66lbs
Size: 9.14h x 6.26w x 0.43d
ISBN: 9780817636005

About the Author

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

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