# Numerical Analysis

## General Introductions and References

Various good basic introductions to numerical analysis

- N. Asaithambi (1995) Numerical Analysis: Theory and Practice, Saunders.
[This is at an elementary level, but encyclopedic in size and coverage.]
- K. Atkinson (1993) Elementary Numerical Analysis, 2nd edition, John Wiley.
- K. Atkinson (1989) An Introduction to Numerical Analysis, 2nd edition,
John Wiley. [At a slightly more advanced level than the previous book.]
- James Buchanan & Peter Turner (1992) Numerical Methods and Analysis,
McGraw-Hill.
- Gwynne Evans (1995) Practical Numerical Analysis, John Wiley.
- D. Kahaner, C. Moler, & S. Nash (1989) Numerical Methods and Software,
Prentice-Hall. [A well referenced text, with a number of good quality
programs. Often used in Engineering College courses across the country.]
- David Kincaid & Ward Cheney (1991) Numerical Analysis, Brooks/Cole.

A bit more advanced

- J. Stoer & R. Bulirsch (1993) Introduction to Numerical Analysis
(second edition), (translated by R. Bartels, W. Gautschi, and C. Witzgall)
Springer-Verlag, New York.

A very useful practical reference, though apparently not
presenting some things exactly as the numerical analysts would want to
see them:

- W. Press, B. Flannery, S. Teukolsky, & W. Vetterling (1986) Numerical
Recipes: The Art of Scientific Computing, Cambridge University Press.
[There are many editions of this, specialized for various programming
languages.]

## Matrix Computation, Linear Algebra

- G. Golub and C. Van Loan (1989) Matrix Computations, John Hopkins Press.
- Watkins, David S. (1991) Fundamentals of Matrix Computations,
John Wiley, New York.

You might also want to brush up on your
linear algebra .

## Differential Equations

- L. Shampine (1994) Numerical Solution of Ordinary Differential
Equations, Chapman & Hall Pub. [Shampine is probably the leading
developer of ODE software on a world wide basis.]
- Claes Johnson (1987?) Numerical Solution of Partial Differential
Equations by the Finite Element Method, Cambridge Univ Press.

## Related Areas

You might also be interested in
scientific data analysis and
statistics.

Almost all these references were given to us by
Ken Atkinson .
Thanks, Ken!

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