## Numerical Mathematics and ComputingAuthors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more theoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Introduction | 1 |

FloatingPoint Representation and Errors | 43 |

Locating Roots of Equations | 76 |

Interpolation and Numerical Differentiation | 124 |

Numerical Integration | 180 |

Additional Topics on Numerical Integration | 216 |

Systems of Linear Equations | 245 |

Additional Topics Concerning Systems of Linear Equations | 293 |

BoundaryValue Problems for Ordinary Differential Equations | 563 |

Partial Differential Equations | 582 |

Minimization of Functions | 625 |

Linear Programming | 657 |

Advice on Good Programming Practices | 684 |

Representation of Numbers in Different Bases | 692 |

Additional Details on IEEE FloatingPoint Arithmetic | 703 |

Linear Algebra Concepts and Notation | 706 |

Approximation by Spline Functions | 371 |

Ordinary Differential Equations | 426 |

Systems of Ordinary Differential Equations | 465 |

Smoothing of Data and the Method of Least Squares | 495 |

Monte Carlo Methods and Simulation | 532 |

Answers for Selected Problems | 724 |

745 | |

754 | |

### Common terms and phrases

algorithm approximate binary bisection method calculations column Computer Problems Consider Continuation convergence cubic spline curve defined derivatives determine diagonal eigenvalues eigenvector end for end error term evaluations example f(xn false position method Figure floating-point floating-point number formula forward elimination function f Gaussian elimination given inequality initial-value problem integer integral interpolating polynomial interval a,b iteration knots least-squares linear programming linear system machine numbers Maple Mathematica mathematical software systems Matlab minimize multiplication Newton’s method nodes nonzero numerical solution obtain ordinary differential equation output polynomial of degree precision procedure pseudocode random numbers real array real number root roundoff error Runge-Kutta method secant method Section sequence Show sinx solve spline function step subintervals system of equations Taylor series Taylor series method Theorem trapezoid rule tridiagonal variables vector verify xn+1 zero