Contents Preface xi Chapter 1 Numerical Algorithms 1 1 1 Finding roots 2 1 2 Analyzing Heron's algorithm 5 1 3 Where to start 6 1 4 An unstable algorithm
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1 General Introduction Numerical analysis is the area of mathematics and computer science that creates, analyzes, and implements algorithms for solving nu-
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There are several reasons for doing this: 1 Polynomials are easy to evaluate (we just add/subtract and multiply - and ultimately, all numerical computation has to
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and p2 = p + 1 The order of convergence of the Secant Method, given by p, therefore is determined to be the positive root of the quadratic equation p2
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Course goals Numerical Analysis 1 provides a masters-level introduction to solving real-world mathematics problems using computers The class will survey
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Contents Preface xi Chapter 1 Numerical Algorithms 1 1 1 Finding roots 2 1 2 Analyzing Heron's algorithm 5 1 3 Where to start 6 1 4 An unstable algorithm
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1 Polynomial Interpolations 3 1 2 1 Evaluating Newton's interpolating formula Numerical analysis is the study of algorithms for continuous mathematics
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