中文说明：
本书介绍现代的数值近似方法，解释这些方法如何、为何，以及何时有用，以作为进一步研读数值分析与科学计算的基础。修习本书，学生将学会辨别须使用数值方法求解之问题的种类，及使用这些方法时，误差传递的实例；对无法求得确解的问题，应能求得精确的近似解，并学会估计此近似解误差界限的方法。书中介绍的数值方法，由数学分析、计算法则到实例，皆有系统的说明。本书对于任何要使用数值方法的学系，均可作为良好的基础教材，同时也是一本内容完备的参考书籍。
English Description：
This book introduces modern numerical approximation methods and explains how, why and when these methods are useful as a basis for further study of numerical analysis and scientific calculation. After studying this book, students will learn to identify the types of problems that need to be solved by numerical methods, and examples of error transmission when using these methods; for problems that cannot be solved accurately, they should be able to obtain accurate approximate solutions, and learn how to estimate the error bounds of the approximate solutions. The numerical methods introduced in the book are systematically explained from mathematical analysis, calculation rules to examples. This book can be used as a good basic teaching material for any department that wants to use numerical methods, and it is also a complete reference book.