Numerical Methods for Engineers : With Software and Programming Applications
by Chapra, Steven C.; Canale, Raymond P.Edition: 4th
Format: Hardcover
Pub. Date: 2001-07-16
Publisher(s): McGraw-Hill Science/Engineering/Math
Other versions by this Author
-
This Item Qualifies for Free Shipping!*
*Excludes marketplace orders.
List Price: $144.38
Rent Textbook
Select for Price
New Textbook
We're Sorry
Sold Out
Used Textbook
We're Sorry
Sold Out
eTextbook
We're Sorry
Not Available
How Marketplace Works:
- This item is offered by an independent seller and not shipped from our warehouse
- Item details like edition and cover design may differ from our description; see seller's comments before ordering.
- Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
- Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
- Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.
Summary
*Retaining its comprehensive yet accessible and user-friendly style, this edition incorporates new examples and techniques*Includes excellent applications sections with a variety of engineering problems*contains software-based examples and engineering-oriented problems
Table of Contents
Part 1 Modeling, Computers, and Error Analysis1 Mathematical Modeling and Engineering Problem Solving2 Programming and Software3 Approximations and Round-Off Errors4 Truncation Errors and the Taylor SeriesPart 2 Roots of Equations5 Bracketing Methods 6 Open Methods8 Engineering Applications: Roots of EquationsPart 3 Linear Algebraic Equations9 Gauss Elimination10 LU Decomposition and Matrix Inversion11 Special Matrices and Gauss-Seidel12 Engineering Applications: Linear Algebraic EquationsPart 4 Optimization13 One-Dimensional Unconstrained Optimization14 Multidimensional Unconstrained Optimization15 Constrained Optimization16 Engineering Applications: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
2 Programming and Software3 Approximations and Round-Off Errors4 Truncation Errors and the Taylor SeriesPart 2 Roots of Equations5 Bracketing Methods 6 Open Methods8 Engineering Applications: Roots of EquationsPart 3 Linear Algebraic Equations9 Gauss Elimination10 LU Decomposition and Matrix Inversion11 Special Matrices and Gauss-Seidel12 Engineering Applications: Linear Algebraic EquationsPart 4 Optimization13 One-Dimensional Unconstrained Optimization14 Multidimensional Unconstrained Optimization15 Constrained Optimization16 Engineering Applications: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
4 Truncation Errors and the Taylor SeriesPart 2 Roots of Equations5 Bracketing Methods 6 Open Methods8 Engineering Applications: Roots of EquationsPart 3 Linear Algebraic Equations9 Gauss Elimination10 LU Decomposition and Matrix Inversion11 Special Matrices and Gauss-Seidel12 Engineering Applications: Linear Algebraic EquationsPart 4 Optimization13 One-Dimensional Unconstrained Optimization14 Multidimensional Unconstrained Optimization15 Constrained Optimization16 Engineering Applications: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
5 Bracketing Methods 6 Open Methods8 Engineering Applications: Roots of EquationsPart 3 Linear Algebraic Equations9 Gauss Elimination10 LU Decomposition and Matrix Inversion11 Special Matrices and Gauss-Seidel12 Engineering Applications: Linear Algebraic EquationsPart 4 Optimization13 One-Dimensional Unconstrained Optimization14 Multidimensional Unconstrained Optimization15 Constrained Optimization16 Engineering Applications: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
Part 3 Linear Algebraic Equations9 Gauss Elimination10 LU Decomposition and Matrix Inversion11 Special Matrices and Gauss-Seidel12 Engineering Applications: Linear Algebraic EquationsPart 4 Optimization13 One-Dimensional Unconstrained Optimization14 Multidimensional Unconstrained Optimization15 Constrained Optimization16 Engineering Applications: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
10 LU Decomposition and Matrix Inversion11 Special Matrices and Gauss-Seidel12 Engineering Applications: Linear Algebraic EquationsPart 4 Optimization13 One-Dimensional Unconstrained Optimization14 Multidimensional Unconstrained Optimization15 Constrained Optimization16 Engineering Applications: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
12 Engineering Applications: Linear Algebraic EquationsPart 4 Optimization13 One-Dimensional Unconstrained Optimization14 Multidimensional Unconstrained Optimization15 Constrained Optimization16 Engineering Applications: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
13 One-Dimensional Unconstrained Optimization14 Multidimensional Unconstrained Optimization15 Constrained Optimization16 Engineering Applications: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
15 Constrained Optimization16 Engineering Applications: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
Part 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
18 Interpolation19 Fourier Approximation20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
20 Engineering Applications: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
23 Numerical Differentiation24 Engineering Applications: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
Part 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
28 Engineering Applications: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
31 Finite-Element Method32 Engineering Applications: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
Appendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
BibliographyIndex
An electronic version of this book is available through VitalSource.
This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.
By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.
Digital License
You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.
More details can be found here.
A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.
Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.
Please view the compatibility matrix prior to purchase.