000			02788nam a22001817a 4500
008			120709t xxu||||| |||| 00| 0 eng d
020			_a0534351840
050			_aQA276.C41
100			_aCheney, Ward.
245			_aNumerical mathematics and computing. / _cWard Cheney and David Kincaid
250			_a4 ed.
260			_aBonn: _bBrooks/Cole publishing, _c1999.
300			_axv,671 p.: _bill.; _c24cm.
500			_aIncludes bibliographical references and index.
505			_aContents: Introduction: Preliminary remarks -- Programming suggestions -- Review of Taylor series -- Number representation and errors: Representation of numbers in diferent bases -- Floating-point representation -- Loss of significance -- Locating roots of equations: Bisection method -- Newton's method -- Secant method -- Interpolation and numerical differentiation: Preliminary remarks -- Polynomial interpolation -- Errors in polynomial interpolation -- Estimating derivatives and Richardson extrapolation -- Numerical integration -- Definite integral -- Trapezoid rule -- Romberg algorithm -- An Adaptive Simpson's scheme -- Gaussian quadrature formulas -- Systems of linear equations: Naive gaussian elimination -- Gaussian elimination with scaled partial pivoting -- Tridiagonal and banded systems -- LU factorization -- Iterative solution of linear equations -- Approximation by spline functions: Introduction -- First-degree and second-degree splines -- Natural cubic splines -- B splines -- Interpolation and approximation B splines -- Ordinary differential equations: Initial-value problem: Analytical vs. numerical solution -- Taylor series methods -- Runge-Kutta methods -- Stability and adaptive Runge-Kutta and multi-step methods -- Systems of ordinary differential equations -- Higher-order equations and systems -- Adams-Moulton methods -- Smoothing of data and the method of least squares: The Method of least squares -- Orthogonal systems and chebyshev polynomials -- Other examples of the least-squares principle -- Monte Carlo methods and simulation: Random numbers -- Estimation of areas and volumes by Monte Carlo techniques -- Simulation -- Boundary value problems for ordinary differential equations: Preliminary remaks -- Shooting method -- A Discretization method -- Partial differential equations: Introduction -- Parabolic problems -- Hyperbolic problems -- Elliptic problems -- Minimization of multivariante functions: Inteduction -- One-variable case -- Multivariate case -- Linear programming: Standard forms and duality -- Simple method -- Approximate solution of inconsistent linear systems -- Appendix A: Linear algebra concepts and notation: Elemetary concepts -- Abstract vector spaces -- Appendix B: Mathematical software.
700			_aKincaid, Ward.
942			_2lcc _cBK
999			_c1671 _d9171