Numerical methods for engineers
著者
書誌事項
Numerical methods for engineers
McGraw-Hill Higher Education, c2010
6th ed
- : hard copy
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注記
Includes bibliographical references (p. 952-954) and index
内容説明・目次
内容説明
Instructors love Numerical Methods for Engineers because it makes teaching easy! Students love it because it is written for them--with clear explanations and examples throughout. The text features a broad array of applications that span all engineering disciplines. The sixth edition retains the successful instructional techniques of earlier editions. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation. This prepares the student for upcoming problems in a motivating and engaging manner. 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" abd "Getting Started with Mathcad" which make excellent references.Numerous new or revised problems drawn from actual engineering practice, many of which are based on exciting new areas such as bioengineering. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering. Excellent new examples and case studies span asll areas of engineering disciplines; the students using this text will be able to apply their new skills to their chosen field.Users will find use of software packages, specifically MATLAB (R), Excel (R) with VBA and Mathcad (R). This includes material on developing MATLAB (R) m-files and VBA macros.
目次
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 Methods7 Roots of Polynomials8 Case Studies: Roots of EquationsPart 3 Linear Algebraic Equations9 Gauss Elimination10 LU Decomposition and Matrix Inversion11 Special Matrices and Gauss-Seidel12 Case Studies: Linear Algebraic EquationsPart 4 Optimization13 One-Dimensional Unconstrained Optimization14 Multidimensional Unconstrained Optimization15 Constrained Optimization16 Case Studies: OptimizationPart 5 Curve Fitting17 Least-Squares Regression18 Interpolation19 Fourier Approximation20 Case Studies: Curve FittingPart 6 Numerical Differentiation and Integration21 Newton-Cotes Integration Formulas22 Integration of Equations23 Numerical Differentiation24 Case Studies: Numerical Integration and DifferentiationPart 7 Ordinary Differential Equations25 Runge-Kutta Methods26 Stiffness and Multistep Methods27 Boundary-Value and Eigenvalue Problems28 Case Studies: Ordinary Differential EquationsPart 8 Partial Differential Equations29 Finite Difference: Elliptic Equations30 Finite Difference: Parabolic Equations31 Finite-Element Method32 Case Studies: Partial Differential EquationsAppendix A The Fourier SeriesAppendix B Getting Started with MatlabBibliographyIndex
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