Numerical Analysis, 3e

Numerical Analysis is written for students of engineering, science, mathematics, and computer science who have completed elementary calculus and matrix algebra. The book covers both standard topics and some of the more advanced numerical methods used by computational scientists and engineers, while maintaining a level appropriate for undergraduates.

Students learn to construct and explore algorithms for solving science and engineering problems while situating these algorithms in a landscape of some potent and far-reaching principles. Specifically, the author cultivates a grasp of the fundamental concepts that permeate numerical analysis, including convergence, complexity, conditioning, compression, orthogonality, and its competing concerns of accuracy and efficiency. The 3rd edition is web enhanced, with over 200 short URLs that take students beyond the book to useful digital resources created to support their use of the text. 

MATLAB is used both for exposition of algorithms and as a platform for student assignments and projects. A few examples include Symbolic Math Toolbox. The book also provides an introduction to MATLAB in Appendix B, and companion code for download online.