Written for graduate students in applied mathematics, engineering and science courses, the purpose of this book is to present topics in "Numerical Analysis" and "Numerical Methods." It will combine the material of both these areas as well as special topics in modern applications. Included at the end of each chapter are a variety of theoretical and computational exercises.Content:Chapter 0 Some Useful Tools (pages 1–25):Chapter 1 Approximation of Functions (pages 27–107):Chapter 2 Direct Methods for Linear Systems (pages 109–159):Chapter 3 Solution of Nonlinear Equations (pages 161–219):Chapter 4 Iterative Methods for Linear Systems (pages 221–282):Chapter 5 Eigenvalue Problems (pages 283–312):Chapter 6 Numerical Integration (pages 313–348):Chapter 7 Ordinary Differential Equations (pages 349–394):Chapter 8 Difference Methods for PDEs (pages 395–445):Chapter 9 Introduction to Finite Elements (pages 447–476):