TAILIEUCHUNG - burden numerical analysis VOL - 5 EPISODE 3 pws 1993

Technology can be most broadly defined as the entities, both material and immaterial, created by the application of mental and physical effort in order to achieve some value. In this usage, technology refers to tools and machines that may be used to solve real-world problems. It is a far-reaching term that may include simple tools, such as a crowbar or wooden spoon, or more complex machines, such as a space station or particle accelerator. Tools and machines need not be material; virtual technology, such as computer software and business methods, fall under this definition of technology.[10]. | 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 .

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