Some other references

There are many other books on approximation theory listed in Trefethen’s ATAP.

Some of the books listed below are SIAM e-books and available free if you access them from a UW computer. Or if you are off-campus, you can gain access by using the UW library off-campus proxy.

Complex analysis

[CarrierKrookPearson]

G. F. Carrier, M. K. and C. E. Pearson, Functions of a Complex Variable: Theory and Technique. In the SIAM Classics in Applied Math Series and available as an ebook. Chapters 2 and 3 have a good summary of much of the theory we’ll use.

[Agarwal]

R. P. Agarwal, K. Perera, and S. Pinelas, An Introduction to Complex Analysis, Springer, 2011. online

[Ponnusamy]

S. Ponnusamy and Herb Silverman, Complex Variables with Applications, Springer, 2006. online

Matlab

[Driscoll]

T. A. Driscoll, Learning MATLAB, SIAM e-book, 2009.

[Higham]

D. J. Higham and N. J. Higham, Matlab Guide: Second Edition SIAM e-book, 2005.

[Moler]

C. B. Moler, Numerical Computing with MATLAB, SIAM e-book, 2004.

Python

[Dive-into-Python]

M. Pilgram, Dive Into Python,.

[Python]

G. van Rossum, An Introduction to Python,

Latex

[HighamChapter]

N. J. Higham, Tex and Latex Chapter from: <i>Handbook of Writing for the Mathematical Sciences</i>, Second Edition, SIAM e-book. (See also Appendix B for latex symbols)

[GriffithsHigham]

D.F. Griffiths and D.J. Higham, Learning LaTeX, SIAM, 1997

Spectral Methods

[Boyd]

J.P. Boyd, Chebyshev and Fourier Spectral Methods Second edition, freely available from the author’s website

[Fornberg]

B. Fornberg, A Practical Guide to Pseudospectral Methods, Cambridge University Press.

[LeVequeFourierNotes]

R. J. LeVeque, Fourier Transforms.