Numerical Methods Fundamentals

Covering all major aspects of applied numerical methods, this book 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. 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