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.]

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 .

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.

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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