Title: Cute
Product review: If you are a numerical analyst, this is a nice book to have on your shelf. It's an extremely readable introduction, but you will need some background in linear algebra and differential equations to follow everything. Trefethen writes in a readable style that is not even remotely terse. The book gives the basics of what spectral methods are, why they are so useful, and some practical application notes. It's not rigorous, but citations are given for the curious reader to examine the theoretical foundations of spectral methods.
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