A significant amount of time has passed since I first put this effort together. Much has changed in Numerical Analysis. Researchers now seem often content to rely on packages prepared by others even more than they did a decade ago. Perhaps this is the price to be paid by tackling increasingly ambitious problems. Also the advent of very fast and cheap computers has enabled investigators to use inefficient methods and still obtain answers in a timely fashion. | Fundamental Numerical Methods and Data Analysis by George W. Collins, II © George W. Collins, II 2003 Table of Contents List of Figures .vi List of Notes to the Internet 1. Introduction and Fundamental Concepts 1 Basic Properties of Sets and Groups 3 Scalars, Vectors, and Matrices. 5 Coordinate Systems and Coordinate Transformations 8 Tensors and Transformations 13 Operators . 18 Chapter 1 Exercises . 22 Chapter 1 References and Additional Reading. 23 2. The Numerical Methods for Linear Equations and Matrices 25 Errors and Their Propagation 26 Direct Methods for the Solution of Linear Algebraic Equations. 28 a. Solution by Cramer's .