Numerical methods for engineers : with software and programming applications

書誌事項

Numerical methods for engineers : with software and programming applications

Steven C. Chapra, Raymond P. Canale

(McGraw-Hill higher education)

McGraw-Hill, c2002

4th ed

  • : international ed

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注記

Includes bibliography and index

ISBN: 0071121803(ISE)

内容説明・目次

巻冊次

: international ed ISBN 9780071121804

内容説明

The Fourth Edition of "Numerical Methods for Engineers" continues the tradition of excellence it established as the winner of the ASEE Meriam/Wiley award for Best Textbook. Instructors love it because it is a comprehensive text that is easy to teach from. Students love it because it is written for them - with great pedagogy and clear explanations and examples throughout. This edition features an even broader array of applications, including all engineering disciplines. The revision retains the successful pedagogy of the prior editions. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation, preparing the student for what is to come in a motivating and engaging manner. Each part closes with an Epilogue containing sections called 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. What's new in this edition? A shift in orientation toward more use of software packages, specifically MATLAB and Excel with VBA. This includes material on developing MATLAB m-files and VBA macros. In addition, the text has been updated to reflect improvements in MATLAB and Excel since the last edition. Also, many more, and more challenging problems are included. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering. Features The new edition retains the clear explanations and elegantly rendered examples that the book is known for. There are approximately 150 new, challenging problems drawn from all engineering disciplines. There are completely new sections on a number of topics including multiple integrals and the modified false position method. The website will provide additional materials, such as programs, for student and faculty use, and will allow users to communicate directly with the authors.

目次

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 8 Engineering Applications: Roots of Equations Part 3 Linear Algebraic Equations 9 Gauss Elimination 10 LU Decomposition and Matrix Inversion 11 Special Matrices and Gauss-Seidel 12 Engineering Applications: Linear Algebraic Equations Part 4 Optimization 13 One-Dimensional Unconstrained Optimization 14 Multidimensional Unconstrained Optimization 15 Constrained Optimization 16 Engineering Applications: Optimization Part 5 Curve Fitting 17 Least-Squares Regression 18 Interpolation 19 Fourier Approximation 20 Engineering Applications: Curve Fitting Part 6 Numerical Differentiation and Integration 21 Newton-Cotes Integration Formulas 22 Integration of Equations 23 Numerical Differentiation 24 Engineering Applications: 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 Engineering Applications: Ordinary Differential Equations Part 8 Partial Differential Equations 29 Finite Difference: Elliptic Equations 30 Finite Difference: Parabolic Equations 31 Finite-Element Method 32 Engineering Applications: Partial Differential Equations Appendix A The Fourier Series Appendix B Getting Started with Matlab Bibliography Index
巻冊次

ISBN 9780072431933

内容説明

Retaining its comprehensive yet accessible and user-friendly style, this edition incorporates new examples and techniques. It includes excellent applications sections with a variety of engineering problems. It contains software-based examples and engineering-oriented problems.

目次

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 8 Engineering Applications: Roots of Equations Part 3 Linear Algebraic Equations 9 Gauss Elimination 10 LU Decomposition and Matrix Inversion 11 Special Matrices and Gauss-Seidel 12 Engineering Applications: Linear Algebraic Equations Part 4 Optimization 13 One-Dimensional Unconstrained Optimization 14 Multidimensional Unconstrained Optimization 15 Constrained Optimization 16 Engineering Applications: Optimization Part 5 Curve Fitting 17 Least-Squares Regression 18 Interpolation 19 Fourier Approximation 20 Engineering Applications: Curve Fitting Part 6 Numerical Differentiation and Integration 21 Newton-Cotes Integration Formulas 22 Integration of Equations 23 Numerical Differentiation 24 Engineering Applications: 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 Engineering Applications: Ordinary Differential Equations Part 8 Partial Differential Equations 29 Finite Difference: Elliptic Equations 30 Finite Difference: Parabolic Equations 31 Finite-Element Method 32 Engineering Applications: Partial Differential Equations Appendix A The Fourier Series Appendix B Getting Started with Matlab Bibliography Index

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