Numerical Methods for EngineersMcGraw-Hill Higher Education, 2006 - 926 páginas The fifth edition of Numerical Methods for Engineers continues its tradition of excellence. Instructors love this text 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. The text features a broad 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. Approximately 80% of the end-of-chapter problems are revised or new to this edition. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering. Users will find use of software packages, specifically MATLAB and Excel with VBA. This includes material on developing MATLAB m-files and VBA macros. |
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a₁ algorithm analytical applications approach approximation bisection calculated cell Chap chapter coefficients compute constraints convergence curve data points depicted in Fig determine developed differential equation DOFOR eigenvalues employed engineering estimate Euler's method evaluate example FIGURE formulas function value Gauss elimination Gauss-Seidel method gradient graphical implement initial guesses integration interval iteration linear regression LU decomposition mass mathematical MATLAB matrix inverse maximum minimize Newton-Raphson Newton's Newton's method nonlinear numerical methods obtain ODEs optimization optimum parachutist parameters percent relative error plot Prob Problem Statement pseudocode quadratic reactor recall relative error represents RK method root round-off error secant method second derivative second-order shown in Fig Simpson's 1/3 rule Simpson's rules slope solution solve Solver spline step substituted into Eq Table Taylor series techniques temperature tion trapezoidal rule truncation error variable vector velocity x₁ Xi+1 Yi+1 yield zero