Engineering Mathematics: Computational Methods

Author: Wang Xinmin, Shu Hongliang (Editor-in-Chief)
Publisher:
Publish Date: 2005-11-01
Features: This book focuses on introducing numerical methods that can be implemented on computers, such as various forms of algebraic interpolation methods; square approximation methods, numerical integration methods frequently used in engineering; and numerical solution methods for systems of linear algebraic equations often encountered when solving differential equations numerically. It also includes iterative methods for solving nonlinear equations and systems of equations, computational methods for matrix eigenvalues and eigenvectors, and various solution methods for initial value problems of ordinary differential equations. Additionally, it discusses errors, convergence, and stability issues related to various algorithms. The book is rich in content, concise in selection, rigorous in explanation, and well-organized; it provides detailed derivations with clear emphasis on key points. It offers broad readability and practical applicability. This book can be used as a textbook for senior undergraduate students of non-mathematics majors and graduate students in science and engineering, as well as a reference for scientific and technological workers engaged in numerical computation research.