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Numerical Methods Fundamentals

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The book is designed to cover all major aspects of applied numerical methods, including numerical computations, solution of algebraic and transcendental equations, finite differences and interpolation, curve fitting, correlation and regression, numerical differentiation and integration, matrices and linear system of equations, numerical solution of ordinary differential equations, and numerical solution of partial differentialequations. It uses a numerical problem-solving orientation with numerous examples, figures, and end of chapter exercises. Presentations are limited to very basic topics to serve as an introduction to more advanced topics. FEATURES: Emphasizes applications, analytical developments, algorithms, and computational solutions over pure theory Features over 300 problems with step-by-step solutions Includes a review of basic engineering mathematics and partial fraction expansions Provides an understanding, both physical and mathematical, of the basic theory of numerical analysis, methods, and their applications
R. V. Dukkipati is a Professor and Chair of Mechanical Engineering at Fairfield University, as well as a consultant in the field of road vehicle accident reconstruction. He is a member of the Connecticut Academy of Sciences and Engineering (CASE), and a Fellow of both the American Society of Mechanical Engineers (ASME) and the Canadian Society for Mechanical Engineers (CSME).
1: Numerical Computations 2: Linear System of Equations 3: Solution of Algebraic and Transcendental Equations 4: Numerical Differentiation 5: Finite Differences and Interpolation 6: Curve Fitting, Regression, and Correlation 7: Numerical Integration 8: Numerical Solution of Ordinary Differential Equations Bibliography Appendices: A. Partial Fraction Expansions B. Basic Engineering Mathematics C. Cramer's Rule Answers to Selected Exercises Index
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