Numerical methods for engineers

Descripción

Libro digital para leer en línea o en app móvil

Descripción:
The seventh edition of Chapra and Canale’s Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. Chapra and Canale’s unique approach opens each part of the text with sections called “Motivation,“ “Mathematical Background,” and “Orientation” Each part closes with an “Epilogue” containing “Trade-Offs,” “Important Relationships and Formulas,” and “Advanced Methods and Additional References.” Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods.
Numerous new or revised problems are drawn from actual engineering practice. The expanded breadth of engineering disciplines covered is especially evident in these exercises, which now cover such areas as biotechnology and biomedical engineering. Excellent new examples and case studies span all areas of engineering giving students a broad exposure to various fields in engineering.

Tabla de contenidos:

00_Frontmatter
01_Part One MODELING, COMPUTERS, AND ERROR ANALYSIS
02_Mathematical Modeling and Engineering Problem Solving
03_Programming and Software
04_Approximations and Round-Off Errors
05_Truncation Errors and the Taylor Series
06_Part Two ROOTS OF EQUATIONS
07_Bracketing Methods
08_Open Methods
09_Roots of Polynomials
10_Case Studies: Roots of Equations
11_Part Three LINEAR ALGEBRAIC EQUATIONS
12_ Gauss Elimination
13_LU Decomposition and Matrix Inversion
14_Special Matrices and Gauss-Seidel
15_Case Studies: Linear Algebraic Equations
16_Part Four OPTIMIZATION
17_One-Dimensional Unconstrained Optimization
18_Multidimensional Unconstrained Optimization
19_Constrained Optimization
20_Case Studies: Optimization
21_Part Five CURVE FITTING
22_Least-Squares Regression
23_Interpolation
24_Fourier Approximation
25_Case Studies: Curve Fitting
26_Part Six NUMERICAL DIFFERENTIATION AND INTEGRATION
27_Newton-Cotes Integration Formulas
28_Integration of Equations
29_Numerical Differentiation
30_Case Studies: Numerical Integration and Differentiation
31_Part Seven ORDINARY DIFFERENTIAL EQUATIONS
32_Runge-Kutta Methods
33_Stiffness and Multistep Methods
34_Boundary-Value and Eigenvalue Problems
35_Case Studies: Ordinary Differential Equations
36_Part Eight PARTIAL DIFFERENTIAL EQUATIONS
37_Finite Difference: Elliptic Equations
38_Finite Difference: Parabolic Equations
39_Finite-Element Method
40_Case Studies: Partial Differential Equations
41_Appendix A
42_Appendix B
43_Appendix C
44_Bibliography
45_Index