Numerical methods for engineers /
Chapra, Steven C.
Numerical methods for engineers / Steven C. Chapra, Raymond P. Canale. - 6th ed. - Boston : McGraw-Hill Higher Education, 2010. - xviii, 968 p. : ill. ; 24 cm.
Includes bibliographical references (p. 952-954) and index.
part 1 Modeling, Computers, and Error Analysis --
1 Mathematical Modeling and Engineering Problem Solving --
2 Programming and Software --
3 Approximations and Round-Off Errors --
4 Truncation Errors and the Taylor Series --
Part 2 Roots of Equations --
5 Bracketing Methods --
6 Open Methods --
7 Roots of Polynomials --
8 Case Studies: Roots of Equations --
Part 3 Linear Algebraic Equations --
9 Gauss Elimination --
10 LU Decomposition and Matrix Inversion --
11 Special Matrices and Gauss-Seidel --
12 Case Studies: Linear Algebraic Equations --
Part 4 Optimization --
13 One-Dimensional Unconstrained Optimization --
14 Multidimensional Unconstrained Optimization --
15 Constrained Optimization --
16 Case Studies: Optimization --
Part 5 Curve Fitting --
17 Least-Squares Regression --
18 Interpolation --
19 Fourier Approximation --
20 Case Studies: Curve Fitting --
Part 6 Numerical Differentiation and Integration --
21 Newton-Cotes Integration Formulas --
22 Integration of Equations --
23 Numerical Differentiation --
24 Case Studies: Numerical Integration and Differentiation --
Part 7 Ordinary Differential Equations --
25 Runge-Kutta Methods --
26 Stiffness and Multistep Methods --
27 Boundary-Value and Eigenvalue Problems --
28 Case Studies: Ordinary Differential Equations --
Part 8 Partial Differential Equations --
29 Finite Difference: Elliptic Equations --
30 Finite Difference: Parabolic Equations --
31 Finite-Element Method --
32 Case Studies: Partial Differential Equations --
Appendix A The Fourier Series --
Appendix B Getting Started with Matlab --
Bibliography --
Index.
9780073401065 (hard copy : alk. paper) 0073401064 (hard copy : alk. paper)
2008054296
Engineering mathematics--Data processing.
Numerical calculations--Data processing.
Microcomputers--Programming.
TA345 / .C47 2010
620.0015 / C.S.N
Numerical methods for engineers / Steven C. Chapra, Raymond P. Canale. - 6th ed. - Boston : McGraw-Hill Higher Education, 2010. - xviii, 968 p. : ill. ; 24 cm.
Includes bibliographical references (p. 952-954) and index.
part 1 Modeling, Computers, and Error Analysis --
1 Mathematical Modeling and Engineering Problem Solving --
2 Programming and Software --
3 Approximations and Round-Off Errors --
4 Truncation Errors and the Taylor Series --
Part 2 Roots of Equations --
5 Bracketing Methods --
6 Open Methods --
7 Roots of Polynomials --
8 Case Studies: Roots of Equations --
Part 3 Linear Algebraic Equations --
9 Gauss Elimination --
10 LU Decomposition and Matrix Inversion --
11 Special Matrices and Gauss-Seidel --
12 Case Studies: Linear Algebraic Equations --
Part 4 Optimization --
13 One-Dimensional Unconstrained Optimization --
14 Multidimensional Unconstrained Optimization --
15 Constrained Optimization --
16 Case Studies: Optimization --
Part 5 Curve Fitting --
17 Least-Squares Regression --
18 Interpolation --
19 Fourier Approximation --
20 Case Studies: Curve Fitting --
Part 6 Numerical Differentiation and Integration --
21 Newton-Cotes Integration Formulas --
22 Integration of Equations --
23 Numerical Differentiation --
24 Case Studies: Numerical Integration and Differentiation --
Part 7 Ordinary Differential Equations --
25 Runge-Kutta Methods --
26 Stiffness and Multistep Methods --
27 Boundary-Value and Eigenvalue Problems --
28 Case Studies: Ordinary Differential Equations --
Part 8 Partial Differential Equations --
29 Finite Difference: Elliptic Equations --
30 Finite Difference: Parabolic Equations --
31 Finite-Element Method --
32 Case Studies: Partial Differential Equations --
Appendix A The Fourier Series --
Appendix B Getting Started with Matlab --
Bibliography --
Index.
9780073401065 (hard copy : alk. paper) 0073401064 (hard copy : alk. paper)
2008054296
Engineering mathematics--Data processing.
Numerical calculations--Data processing.
Microcomputers--Programming.
TA345 / .C47 2010
620.0015 / C.S.N