Some other references¶
See Notes for some additional class material.
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 13 of Handbook of Writing for the Mathematical Sciences, 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. |