Numerical analysis

by Burden, Richard L.

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Title Statements

Full title :Numerical analysis / Richard L. Burden ... J. Douglas Faires ..., Annette M. Burden ...

Edition Statements

Publication Date:©2016.
Edition:10th edition

Publication Statements

Publisher(s):Cengage Learning
Place of Publication:Boston
Language:eng
Publication Date:©2016.

The Physical Object

Description:1 v. (XVI-896 p.) : : illustrations, couv. illustrations en coul. ; : 26 cm

Edition Identifiers

ISBN:1305253663, 9781305253667
oclc:ocn951904210
LC Classification:QA297
Dewey Decimal:518

1 : Mathematical preliminaries and error analysis -- 1.1 : Review of calculus -- 1.2 : Round-off errors and computer arithmetic -- 1.3 : Algorithms and convergence -- 1.4 : Numerical software -- 2 : Solutions of equations in one variable -- 2.1 : The bisection method -- 2.2 : Fixed-point iteration -- 2.3 : Newton's method and its extensions -- 2.4 : Error analysis for iterative methods -- 2.5 : Accelerating convergence -- 2.6 : Zeros of polynomials and Müller's method -- 2.7 : Numerical software and chapter review -- 3 : Interpolation and polynomial approximation -- 3.1 : Interpolation and the Lagrange polynomial -- 3.2 : Data approximation and Neville's method -- 3.3 : Divided differences -- 3.4 : Hermite interpolation -- 3.5 : Cubic spline interpolation -- 3.6 : Parametric curves -- 3.7 : Numerical software and chapter review -- 4 : Numerical differentiation and integration -- 4.1 : Numerical differentiation -- 4.2 : Richardson's extrapolation -- 4.3 : Elements of numerical integration -- 4.4 : Composite numerical integration -- 4.5 : Romberg integration -- 4.6 : Adaptive quadrature methods -- 4.7 : Gaussian quadrature -- 4.8 : Multiple integrals -- 4.9 : Improper integrals -- 4…