Chapra, Steven C.

Numerical methods for engineers / Steven C. Chapra, Raymond P. Canale. - Fifth edition - Boston : McGraw-Hill Higher Education, c2006 - xviii, 926 pages : illustrations ; 24 cm.

Includes appendices, glossary and index

Contents: Chapter 1 Mathematical modeling and engineering problem solving -- Chapter 2 Programming and software -- Chapter 3 Approximations and round-off errors -- Chapter 4 Truncation errors and the taylor series -- Chapter 5 Bracketing methods -- Chapter 6 Open methods -- Chapter 7 Roots of polynomials -- Chapter 8 Case studies: roots of equations -- Chapter 9 Gauss elimination -- Chapter 10 LU decomposition and matrix inversion -- Chapter 11 Special matrices and gauss-seidel -- Chapter 12 Case studies: linear algebraic equations -- Chapter 13 One-dimensional unconstrained optimization -- Chapter 14 Multidimensional unconstrained optimization -- Chapter 15 Constrained optimization -- Chapter 16 Case studies: optimization -- Chapter 17 Least-squares regression -- Chapter 18 Interpolation -- Chapter 19 Fourier approximation -- Chapter 20 Case studies: curve fitting -- Chapter 21 Newton-cotes integration formulas -- Chapter 22 Integration of equations -- Chapter 23 Numerical differentiation -- Chapter 24 Case studies: numerical integration and differentiation -- Chapter 25 Runge-kutta methods -- Chapter 26 Stiffness and multistep methods -- Chapter 27 Boundary-value and eigenvalue problems -- Chapter 28 Case studies: ordinary differential equations -- Chapter 29 Finite difference: elliptic equations -- Chapter 30 Finite difference: parabolic equations -- Chapter 31 Finite-element method -- Chapter 32 Case studies: partial differential equations


English

0071244298 [paperback]

2005008475


Engineering mathematics--Data processing
Numerical calculations--Data processing
Microcomputers--Programming


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