Includes bibliographical references and index.

Numerical Computing and Computers. Introduction. Using a Computer to Do Numerical Analysis. A Typical Example. Implementing Bisection. Computer Arithmetic and Errors. Theoretical Matters. Parallel Processing. Chapter Summary. Exercises. Solving Nonlinear Equations. Pressure Drop for a Flowing Fluid. Interval Halving (Bisection) Revisited. Linear Interpolation Methods. Newtons Method. Mullers Method. Fixed-Point Iteration: x = g(x) Method. Newtons Method for Polynomials. Bairstows Method for Quadratic Factors. Other Methods for Polynomials. Multiple Roots. Theoretical Matters. Using MATLAB. Chapter Summary. Computer Programs. Exercises. Solving Sets of Equations. Applications of Sets of Equations. Matrix Notation. The Elimination Method. Gaussian Elimination and Gauss-Jordan Methods. Other Direct Methods. Pathology in Linear Systems-Singular Matrices. Determinants and Matrix Inversion. Norms. Condition Numbers and Errors in Solutions. Iterative Methods. Relaxation Method. Systems of Nonlinear Equations. Theoretical Matters. Using Maple and MATLAB. Parallel Algorithms. Chapter Summary. Computer Programs. Exercises. Interpolation and Curve Fitting. An Interpolation Problem. Lagrangian Polynomials. Divided Differences. Interpolating with a Cubic Spline. Bezier Curves and B-Spline Curves. Polynomial Approximation of Surfaces. Least-Squares Approximations. Theoretical Matters. Using MATLAB and Mathematica. Chapter Summary. Computer Programs. Exercises. Approximation of Functions. Chebyshev Polynomials. Economized Power Series. Approximation with Rational Functions. Fourier Series. Theoretical Matters. Using Computer Algebra Systems. Chapter Summary. Computer Program. Exercises. Numerical Differentiation and Numerical Integration. Getting Derivatives and Integrals Numerically. Derivatives from Difference Tables. Higher-Order Derivatives. Extrapolation Techniques. Newton-Cotes Integration Formulas. The Trapezoidal Rule-A Composite Formula. Simpsons R.

Application-based aproach, incorporating technology; great for applied sciences and engineering students. *Organization of final chapters which includes gathering the material on finite elements from several chapters into one chapter. *Computer programs in either Fortran 90 or C are given at the conclusion of each chapter. The computer algebra system MATLAB has been added (with several comparisons to Maple and Mathematica) as well as addressing the use of the advanced calculator. *The chapter on approximations of functions has been moved forward in the text. *More problems which are challenging have been added to the end of the exercise sets.