Numerical Mathematics and Computing
Authors 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.
FloatingPoint Representation and Errors
Locating Roots of Equations
Interpolation and Numerical Differentiation
Additional Topics on Numerical Integration
Systems of Linear Equations
Additional Topics Concerning Systems of Linear Equations
BoundaryValue Problems for Ordinary Differential Equations
Partial Differential Equations
Minimization of Functions
Advice on Good Programming Practices
Representation of Numbers in Different Bases
Additional Details on IEEE FloatingPoint Arithmetic
Linear Algebra Concepts and Notation
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