Numerical Methods for Engineers
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...
Search in google:
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®, Excel® with VBA and Mathcad®. This includes material on developing MATLAB® m-files and VBA macros.
Ch. 1Mathematical modeling and engineering problem solving11Ch. 2Programming and software25Ch. 3Approximations and round-off errors50Ch. 4Truncation errors and the Taylor series73Ch. 5Bracketing methods112Ch. 6Open methods133Ch. 7Roots of polynomials160Ch. 8Case studies : roots of equations187Ch. 9Gauss elimination231Ch. 10LU decomposition and matrix inversion264Ch. 11Special matrices and Gauss-Seidel285Ch. 12Case studies : linear algebraic equations305Ch. 13One-dimensional unconstrained optimization341Ch. 14Multidimensional unconstrained optimization355Ch. 15Constrained optimization375Ch. 16Case studies : optimization400Ch. 17Least-squares regression440Ch. 18Interpolation474Ch. 19Fourier approximation507Ch. 20Case studies : curve fitting544Ch. 21Newton-Cotes integration formulas584Ch. 22Integration of equations613Ch. 23Numerical differentiation632Ch. 24Case studies : numerical integration and differentiation646Ch. 25Runge-Kutta methods681Ch. 26Stiffness and multistep methods726Ch. 27Boundary-value and eigenvalue problems752Ch. 28Case studies : ordinary differential equations781Ch. 29Finite difference : elliptic equations820Ch. 30Finite difference : parabolic equations840Ch. 31Finite-element method857Ch. 32Case studies : partial differential equations884
