Numerical analysis

Author: Yang Dali
Publisher:
Publish Date: 2006-05-01
Features: This book systematically introduces the basic concepts, common algorithms, and theoretical analysis and applications of numerical computation. The book is divided into 10 chapters. Chapter 1 is an introduction, covering the fundamental concepts in numerical analysis. Chapters 2 to 9 include basic problems in numerical computation, such as numerical methods for solving systems of linear equations, numerical methods for solving matrix eigenvalues and eigenvectors, numerical methods for solving nonlinear equations and systems of equations, interpolation methods, data fitting and function approximation, numerical integration, numerical differentiation, and numerical methods for solving initial value problems of ordinary differential equations. Chapter 10 introduces Matlab software and explains how to apply it to solve basic problems in numerical analysis. Readers can use the algorithms and commands in the book for numerical experiments and engineering calculations. Each chapter provides typical examples and a certain number of exercises, with answers or hints to the exercises provided at the end of the book. This book can serve as a textbook for "Numerical Analysis" courses for engineering master's students in science and engineering disciplines, as a reference book for undergraduate and master's students, and can also be used by engineering professionals.