Numerical Methods for Engineers (Paperback, 6, UK)

Part One Modeling, Computers, and Error Analysis
Chapter 1 Mathematical Modeling and Engineering Problem Solving
Chapter 2 Programming and Software
Chapter 3 Approximations and Round-Off Errors
Chapter 4 Truncation Errors and the Taylor Series

Part Two Roots of Equations
Chapter 5 Bracketing Methods
Chapter 6 Open Methods
Chapter 7 Roots of Polynomials
Chapter 8 Case Studies; Roots of Equations

Part Three Linear Algebraic Equations
Chapter 9 Gauss Elimination
Chapter 10 LU Decomposition and Matrix Inversion
Chapter 11 Special Matrices and Gauss-Seidel
Chapter 12 Case Studies; Linear Algebraic Equations

Part Four Optimization
Chapter 13 One-Dimensional Unconstrained Optimization
Chapter 14 Multidimensional Unconstrained Optimization
Chapter 15 Constrained Optimization
Chapter 16 Case Studies; Optimization

Part Five Curve Fitting
Chapter 17 Least-Squares Regression
Chapter 18 Interpolation
Chapter 19 Fourier Approximation
Chapter 20 Case Studies; Curve Fitting

Part Six Numerical Differentiation and Integration
Chapter 21 Newton-Cotes Integration Formulas
Chapter 22 Integration of Equations
Chapter 23 Numerical Differentiation
Chapter 24 Case Studies; Numerical Integration and Differentiation

Part Seven Ordinary Differential Equations
Chapter 25 Runge-Kutta Methods
Chapter 26 Stiffness and Multistep Methods
Chapter 27 Boundary-Value and Eigenvalue Problems
Chapter 28 Case Studies; Ordinary Differential Equations

Part Eight Partial Differential Equations
Chapter 29 Finite Difference; Elliptic Equations
Chapter 30 Finite Difference; Parabolic Equations
Chapter 31 Finite-Element Method
Chapter 32 Case Studies; Partial Differential Equation