The new Ninth Edition of Burden and Faires provides a foundation in modern numerical-approximation techniques, explaining how, why, and when the techniques can be expected to work. A wealth of examples and exercises develop conceptual understanding, and demonstrate the subject’s practical applications to important everyday problems in math, computing, engineering, and physical science disciplines.
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: IterativeTechniques 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
