Chebyshev and Fourier Spectram Methods
by John P. Boyd
First edition (out of print), Springer-Verlag (1989), 792 pp.
Second edition, Dover, New York (2001), 688 pp.
The second edition contains four new chapters, omits one chapter and one appendix of the earlier edition, and has been extensively rewritten with an expanded and updated bibliography. The second edition has a list price of $32.95, but is available from Amazon.com for $23.06 (plus shipping).
The online version is split into two files.

Chebyshev and Fourier Spectral Methods, 2d. edition, Dover Publishers, on sale in December, 2001.
[This file contains the complete text excluding references, which are in th e file link below.] (Adobe .pdf; File size about 3.2 MB)

Chebyshev and Fourier Spectral Methods, references.
(Adobe .pdf; File size: 0.27 MB)

Table of Contents (only)
Adobe .pdf file

Errata