Numerical Analysis, 10th Edition

This well-respected book introduces readers to the theory and application of modern numerical approximation techniques. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work-and why, in some situations, they fail. A wealth of examples and exercises develop readers’ intuition, and demonstrate the subject’s practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. Three decades after it was first published, Burden, Faires, and Burden’s NUMERICAL ANALYSIS remains the definitive introduction to a vital and practical subject.

Table of Contents

Chapter 1 Mathematical Preliminaries and Error Analysis
Chapter 2 Solutions of Equations in One Variable
Chapter 3 Interpolation and Polynomial Approximation
Chapter 4 Numerical Differentiation and Integration
Chapter 5 Initial-Value Problems for Ordinary Differential Equations
Chapter 6 Direct Methods for Solving Linear Systems
Chapter 7 Iterative Techniques in Matrix Algebra
Chapter 8 Approximation Theory
Chapter 9 Approximating Eigenvalues
Chapter 10 Numerical Solutions of Nonlinear Systems of Equations
Chapter 11 Boundary-Value Problems for Ordinary Differential Equations
Chapter 12 Numerical Solutions to Partial Differential Equations