List of Books
No single book is specifically recommended for purchase. Most Numerical Analysis textbooks cover some of the topics in the course - some suggestions are below.
- E. Süli and D. Mayers, An Introduction to Numerical Analysis, Cambridge 2003.
Covers polynomial interpolation, best approximation and splines; right level of sophistication. - R.L. Burden and J.D. Faires, Numerical Analysis, Brooks Cole 2001.
Mainly useful for splines and trigonometric interpolation. - K.E. Atkinson, An Introduction to Numerical Analysis, Wiley 1989.
Includes (brief) material on most of the course. - R. Plato, Concise Numerical Analysis, AMS 2003.
Covers most topics in course, but quite concise and more rigorous. - M.J.D. Powell, Approximation Theory and Methods, Cambridge 1981.
A general (more abstract) point of view, if you like that sort of thing. - L.N. Trefethen, Approximation Theory and Approximation Practice, SIAM 2013.
An interesting read: focuses on Chebyshev polynomials but covers other things too. - This online book on Numerical Methods by T. Sauer covers several aspects.