Numerical methods for engineers : with software and programming applications / Steven C. Chapra, Raymond P. Canale.

Includes appendix, bibliography and index.

Contents : Part 1 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 2 Roots and equations -- Chapter 5 Bracketing methods -- Chapter 6 Open methods -- Chapter 7 Roots of polynomials -- Chapter 8 Engineering applications: roots of equations -- Part 3 Linear algebraic equations -- Chapter 9 Gauss elimination -- Chapter 10 LU Decomposition and matrix inversion -- Chapter 11 Special matrices and Gauss-Seidel -- Chapter 12 Engineering applications: Linear algebraic equations -- Part 4 Optimization -- Chapter 13 One-dimensional unconstrained optimization -- Chapter 14 Multidimensional unconstrained optimization -- Chapter 15 Constrained optimization -- Chapter 16 Engineering applications: optimization -- Part 5 -- Chapter 17 Least-squares regression -- Chapter 18 Interpolation -- Chapter 19 Fourier approximation -- Chapter 20 Engineering applications: Curve fitting -- Part 6 Numerical differentiation and integration -- Chapter 21 Newton-cotes integration formulas -- Chapter 22 Integration of equations -- Chapter 23 Numerical differentiation -- Chapter 24 Engineering applications: numerical integration and differentiation -- Part 7 Ordinary differential equations -- Chapter 25 Runge-Kutta methods -- Chapter 26 Stiffness and multistep methods -- Chapter 27 Boundary-value and eigenvalue problems -- Chapter 28 Engineering applications: ordinary differential equations -- Part 8 Partial differential equations -- Chapter 29 Finite difference: elliptic equations -- Chapter 30 Finite difference: parabolic equations -- Chapter 31 Finite-element method -- Chapter 32 Engineering applications: partial differential equations

English