Christensen O. Approximation Theory. From Taylor Polynomials to Wavelets 2004

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Textbook in PDF format

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.
Approximation with Polynomials
Infinite Series
Fourier Analysis
Wavelets and Applications
Wavelets and their Mathematical Properties

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