Introduction to numerical analysis and scientific computing

the long version

"Designed for a one-semester course on the subject, this classroom-tested text presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. Drawing on their years of teaching students in mathematics, engineering, and the sciences, the authors cover floating-point number representations, nonlinear equations, linear algebra concepts, the Lagrange interpolation theorem, numerical differentiation and integration, and ODEs. They also focus on the implementation of the algorithms using MATLAB®"-- "This work is the result of several years of teaching a one-semester course on Numerical Analysis and Scienti c Computing, addressed primarily to stu- dents in Mathematics, Engineering, and Sciences. Our purpose is to provide those students with fundamental concepts of Numerical Mathematics and at the same time stir their interest in the art of implementing and programing Numerical Methods"--