Fundamentals of Numerical Computing

This book examines the solution of some of the most common problems of numerical computation. By concentrating on one effective algorithm for each basic task, it develops the fundamental theory in a brief, elementary way. There are ample exercises, and codes are provided to reduce the time otherwise required for programming and debugging. Exposes reader to the art of numerical computing as well as the science. Errors and Floating Point Arithmetic.

Systems of Linear Equations.

Interpolation.

Roots of Nonlinear Equations.

Numerical Integration.

Ordinary Differential Equations.

Appendix.

Answers to Selected Exercises.

Index.

L. F. Shampine and Rebecca Chan Allen are the authors of Fundamentals of Numerical Computing, published by Wiley.