Textbook. — 5th Edition, McGraw-Hill, 2006. — 926 p.Applications continues its tradition of excellence. 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.Mathematical modeling and engineering problem solving Programming and software Approximations and round-off errors Truncation errors and the Taylor series Bracketing methods Open methods Roots of polynomials Case studies : roots of equations Gauss elimination LU decomposition and matrix inversion Special matrices and Gauss-Seidel Case studies : linear algebraic equations One-dimensional unconstrained optimization Multidimensional unconstrained optimization Constrained optimization Case studies : optimization Least-squares regression Interpolation Fourier approximation Case studies : curve fitting Newton-Cotes integration formulas Integration of equations Numerical differentiation Case studies : numerical integration and differentiation Runge-Kutta methods Stiffness and multistep methods Boundary-value and eigenvalue problems Case studies : ordinary differential equations Finite difference : elliptic equations Finite difference : parabolic equations Finite-element method Case studies : partial differential equations
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Chapra S.C.,Canale R.P. McGraw-Hill Primis. 6 edition,2009.- 970 p.
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...