Numerical methods for engineers: with software and programming applications
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 BestTextbook. 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 clearexplanations 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 containingsections called Trade-Offs, Important Relationships and Formulas, and Advanced Methods and Additional References. Much more than a summary, the Epilogue deepensunderstanding 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.FeaturesØ The new edition retains the clear explanations and elegantly rendered examples that the book is known for.Ø There are approximately 150 new, challenging problems drawn from all engineering disciplines.Ø There are completely new sections on a number of topics including multiple integrals and the modified false position method.Ø The website will provide additional materials, such as programs, for student and faculty use, and will allow users to communicate directly with the authors.
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addition algorithm analytical applications approach approximation bisection calculated called Chap chapter coefficients column compute condition number convergence curve data points depicted in Fig determine developed difference differential equation eigenvalues employed engineering estimate Euler's method evaluate example formula function Gauss elimination Gauss-Seidel Gauss-Seidel method graphical ill-conditioned implement initial guesses integration interval iteration linear algebraic linear algebraic equations LU decomposition mass mathematical MATLAB matrix inverse maximum multiple Newton-Raphson method Newton's node nonlinear numerical methods obtain ODEs optimization parachutist parameters percent relative error pivoting plot Prob Problem Statement pseudocode quadratic reactor recall relative error represents RK method root round-off error secant method second derivative second-order Simpson's 1/3 rule Simpson's rules slope solution solve spline step substituted into Eq Table Taylor series techniques temperature tion trapezoidal rule truncation error unknown variable vector velocity yield zero