Mathews J.H., Fink K.D. Numerical Methods Using MatLAB

Third edition, Prentice Hall, 1999. — 662 p.This book provides a fundamental introduction to numerical analysis suitable for undergraduate students in mathematics, computer science, physical sciences, and engineering. It is assumed that the reader is familiar with calculus and has taken a structured programming course. The text has enough material filled modularly for either a single-term course or a year sequence. In short: the book contains enough material so instructors will be able to select topics appropriate to their needs.Main themes:
Preliminaries
The solution of nonlinear equations
The solution of linear systems AX=B
Interpolation and polynomial approximation
Curve fitting
Numerical Differentiation
Numerical Integration
Numerical Optimization
Solution of differential equations
Solution of partial differential equations
Eigenvalues and eigenvectors
Appendix: an introduction to MatLAB
Some suggested references for reports