Numerical Methods for Engineers

Numerical Methods for Engineers
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2014-02
ISBN: 9780073397924
定价: 2197.40
装帧: 精装
页数: 922页
  • 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. Helpful separate Appendices. "Getting Started with MATLAB" and "Getting Started with Mathcad" which make excellent references. 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. Users will find use of files for many popular software packages, specifically MATLAB[registered], Excel[registered] with VBA, and Mathcad[registered]. There is also material on developing MATLAB[registered] m-files and VBA macros. Steven C. Chapra (Medford, MA) is Professor of Civil and Environmental Engineering, Tufts University. Retired 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
    Appendix C Getting Starte dwith Mathcad Bibliography
    Index
  • 内容简介:
    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. Helpful separate Appendices. "Getting Started with MATLAB" and "Getting Started with Mathcad" which make excellent references. 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. Users will find use of files for many popular software packages, specifically MATLAB[registered], Excel[registered] with VBA, and Mathcad[registered]. There is also material on developing MATLAB[registered] m-files and VBA macros.
  • 作者简介:
    Steven C. Chapra (Medford, MA) is Professor of Civil and Environmental Engineering, Tufts University. Retired
  • 目录:
    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
    Appendix C Getting Starte dwith Mathcad Bibliography
    Index
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