Numerical analysis

Author: Xue Yi et al
Publisher:
Publish Date: 2005-06-01
Features: This book focuses on introducing the fundamental methods of numerical analysis related to modern computing, emphasizing basic concepts, theories, and applications, especially the implementation of numerical methods on computers. Its content includes eight chapters: Introduction, Numerical Methods for Solving Nonlinear Equations, Methods for Solving Systems of Linear Equations, Iterative Methods for Solving Systems of Linear Algebraic Equations, Interpolation Methods, Function Approximation, Numerical Integration, and Numerical Solutions of Ordinary Differential Equations. The book presents material in a progressive manner, using geometric intuition, illustrations, and various examples to clarify the essence of concepts and methods, making it easy to read. It includes numerous examples and exercises to help students understand and master the basic methods of numerical analysis, while also emphasizing the derivation of relevant theories and algorithms to enhance students' ability to analyze and solve problems. This book can serve as a textbook or teaching reference for graduate and undergraduate students in engineering taking courses in "Numerical Analysis" or "Computational Methods." It can also be used as a supplementary textbook for the comprehensive examination for part-time master's degree applicants and as a learning resource for scientists, engineers, and technical professionals.