Numerical Analysis and Computation: Theory and Practice - Softcover

This text presents numerical analysis as a bridge between non-constructive and constructive mathematics, rather than as a potpourri of computational mathematics. Its modern subjects include optimal control and boundary value problems, linear programming, stiff differential equations, spline functions, solution of singular linear algebraic functions, and approximation theory. It also covers such traditional topics as finite differences, interpolation, and numerical integration.
Each topic is treated in depth from both theoretical and practical standpoints, an approach that prepares students to solve new, advanced problems differing from those of classical numerical analysis. Every chapter contains background material drawn from a related mathematical discipline, offering perspectives on the relation of the part to the whole. Suitable for advanced undergraduate and graduate courses, this text is highly relevant to a wide variety of disciplines, including computer science, applied mathematics, science, and engineering.