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Numerical methods for engineers

Author: Steven C Chapra; Raymond P Canale
Publisher: Boston : McGraw-Hill Higher Education, 2010.
Edition/Format:   Print book : English : 6th edView all editions and formats
Summary:

Features an array of applications that span various engineering disciplines. This book includes sections called Motivation, Mathematical Background, and Orientation that prepare students for upcoming  Read more...

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Document Type: Book
All Authors / Contributors: Steven C Chapra; Raymond P Canale
ISBN: 9780073401065 0073401064 9780071267595 007126759X
OCLC Number: 244764203
Description: xviii, 968 pages : illustrations ; 24 cm
Contents: Modeling, computers, and error analysis --
Mathematical modeling and engineering problem solving --
Programming and software --
Approximations and round-off errors --
Truncation errors and the Taylor series --
Roots of equations --
Bracketing methods --
Open methods --
Roots of polynomials --
Case studies : roots of equations --
Linear algebraic equations --
Gauss elimination --
LU decomposition and matrix inversion --
Special matrices and Gauss-Seidel --
Case studies : linear algebraic equations --
Optimization --
One-dimensional unconstrained optimization --
Multidimensional unconstrained optimization --
Constrained optimization --
Case studies : optimization --
Curve fitting --
Least-squares regression --
Interpolation --
Fourier approximation --
Case studies : curve fitting --
Numerical differentiation and integration --
Newton-Cotes integration formulas --
Integration of equations --
Numerical differentiation --
Case studies : numerical integration and differentiation --
Ordinary Differential equations --
Runge Kutta methods --
Stiffness and multistep methods --
Boundary-value and Eigenvalue problems --
Case studies : ordinary differential equations --
Partial differential equations --
Finite difference: elliptic equations --
Finitie difference : parabolic equations --
Finite-element method --
Case studies : partial differential equations.
Responsibility: Steven C. Chapra, Raymond P. Canale.

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