Fundamental Numerical Methods and Data Analysis - G. Collins.pdf

Fundamental Numerical

Methods and Data Analysis


by

e W. Collins, II














© e W. Collins, II 2003
i
Table of Contents

List of Figures .....................................................................................................................................vi

List of Tables.......................................................................................................................................ix

Preface .............................................................................................................................. xi
Notes to the Edition ....................................................................................xiv

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