tailieunhanh - Applied Numerical Analysis fifth edition

The fifth edition of this classic book continues its excellence in teaching numerical analysis and techniques. Interesting and timely applications motivate an understanding of methods and analysis of results. Suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of all aspects of all numerical analysis. New sections discuss the use of computer algebra systems such as Mathematica, Maple and DERIVE facilitate the integration of technology in the course | Numerical Analysis FIFTH EDITION Ễẫ E SỈ Richard L. Burden Youngstown State University J. Douglas Faires Youngstown State University PWS PUBLISHING COMPANY BOSTON Contents Mathematical Preliminaries 1 Review of Calculus 2 Round-Off Errors and Computer Arithmetic 12 Algorithms and Convergence 24 Numerical Software 32 2 Solutions of Equations in One Variable 39 The Bisection Method 40 Fixed-Point Iteration 46 The Newton-Raphson Method 56 Error Analysis for Iterative Methods 70 Accelerating Convergence 78 Zeros of Polynomials and Muller s Method 82 Survey of Methods and Software 93 Interpolation and Polynomial Approximation 95 Interpolation and the Lagrange Polynomial 98 Divided Differences Ỉ12 Hermite Interpolation 123 Cubic Spline Interpolation 130 . Parametric Curves 148 - Survey of Methods and Software 154 Numerical Differentiation and Integration 156 Numerical Differentiation J57 Richardson s Extrapolation 168 Elements of Numerical Integration .