## Numerical mathematics and computing |

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### Contents

Introduction | 1 |

Supplementary Problems Chapter 1 | 15 |

Number Representation and Errors | 21 |

Copyright | |

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### Common terms and phrases

algorithm approximation Arctan array binary bisection method boundary value problem calculation coefficients Computer Problems Consider constraints Continuation convergence cubic spline curve decimal defined derivatives determine differential equation digits DIMENSION double precision estimate evaluations example formula Fortran function f(x Gaussian elimination given graph Hint inequality initial value problem integral interpolating polynomial interval iteration knots least squares linear programming linear programming problem loop machine number matrix minimize minimum point multiplication Newton's method nodes numerical solution obtained octal polynomial of degree precision primal form PRINT procedure quadratic quadratic function random numbers random points real number relative error result RETURN END Romberg algorithm root roundoff error Runge-Kutta method secant method sequence Show solve spline function statement step subintervals subroutine Taylor series method tion trapezoid rule tridiagonal variables vector Verify Write a program Write and test zero