Numerical analysis

Author: Yuan Dongjin
Publisher:
Publish Date: 2005-08-01
Features: This book introduces various numerical computation methods, as well as the related fundamental concepts and theories, in English. The content primarily includes error analysis, numerical solutions of nonlinear equations, interpolation and polynomial approximation, numerical integration, direct methods for solving systems of linear equations, iterative techniques for solving large-scale linear systems, eigenvalues and eigenvectors of matrices, and numerical methods for solving initial value problems of ordinary differential equations. The book provides detailed discussions on the derivation, construction principles, convergence, and error estimation of major basic algorithms. The content is appropriately selected, progressing from simple to complex, with examples and exercises in each chapter, as well as algorithm descriptions for various methods that are convenient for programming. This book can serve as a bilingual teaching or professional English teaching textbook for relevant majors in science and engineering colleges, as a textbook for non-mathematics graduate students taking "Numerical Analysis" courses, and as a reference for scientists, engineers, and technical personnel.