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ISBN 10: 0534392016
ISBN 13: 9780534392017
Author: Richard L Burden, J Douglas Faires
The Instructor's Manual for Numerical Analysis, 8th Edition by Richard L. Burden and J. Douglas Faires is a comprehensive guide designed to assist instructors in teaching numerical analysis. This manual provides detailed solutions to all exercises in the corresponding textbook, offering step-by-step explanations and insights into the methodologies used.
The manual is structured to align with the textbook's chapters, covering a range of topics essential for a thorough understanding of numerical analysis. Each chapter's solutions are meticulously organized to facilitate teaching and learning. Additionally, the manual includes discussions on key concepts, error analysis, and the application of numerical methods to real-world problems.
For instructors seeking to enhance their teaching materials, the manual serves as a valuable resource, providing not only solutions but also pedagogical insights to effectively convey complex numerical analysis concepts to students.
Mathematical Preliminaries: Exercises on Taylor's Theorem, convergence, and difference equations.
Computer Arithmetic: Exercises on floating-point numbers, roundoff errors, and stability.
Solution of Nonlinear Equations: Exercises on methods like Bisection, Newton's, and Secant.
Solving Systems of Linear Equations: Exercises on LU factorization, iterative methods, and error analysis.
Selected Topics in Numerical Linear Algebra: Exercises on eigenvalues, least squares, and singular-value decomposition.
Approximating Functions: Exercises on interpolation, splines, and Fourier series.
Numerical Differentiation and Integration: Exercises on Richardson extrapolation, Gaussian quadrature, and adaptive methods.
Numerical Solution of Ordinary Differential Equations: Exercises on Runge-Kutta methods, stability, and boundary-value problems.
Numerical Solution of Partial Differential Equations: Exercises on finite-difference methods, multigrid methods, and Poisson's equation.
Linear Programming and Related Topics: Exercises on convexity, linear inequalities, and the Simplex algorithm.
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Tags: Richard L Burden, J Douglas Faires, Numerical Analysis
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