THE BOOK Numerical Analysis


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THE BOOK Numerical Analysis

THE BOOK Numerical Analysis : 665 page / Timothy Sauer : George Mason University

Contents : PREFACE : CHAPTER 0 :

Fundamentals : 1 Evaluating a Polynomial ; 2 Binary Numbers ;  3 Decimal to binary ; 4 Binary to decimal ;  Floating Point Representation of Real Numbers ; 6 Floating point formats  ;7  Machine representation ; 8 Addition of floating point numbers ; 9 Loss of Significance ; 10 Review of Calculus

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CHAPTER : 1 Solving Equations 2: The Bisection Method ; 3 Bracketing a root ; 4  How accurate and how fast? ; 5 Fixed-Point Iteration ; 6 Fixed points of a function ;  7  Geometry of Fixed-Point Iteration ; 8  Linear convergence of Fixed-Point Iteration ; 9  Stopping criteria ; 10  Limits of Accuracy ……………………………….

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