本书是根据教育部非数学专业数学基础课教学指导分委员会制定的工科类本科数学基础课程教学基本要求编写的全英文教材，全书分为上、下两册。本书为下册，主要包括空间解析几何和向量代数，多元函数微积分及其应用，曲线积分与曲面积分和微分方程。本书对基本概念的叙述清晰准确，对基本理论的论述简明易懂，例题习题的选配典型多样，强调基本运算能力的培养及理论的实际应用。

本书可作为高等理工科院校非数学类专业本科生的教材，也可供其他专业选用和社会读者阅读。



The aim of this book is to meet the requirement of bilingual teaching of advanced mathematics. The selection of the contents is in accordance with the fundamental requirements of teaching issued by the Ministry of Education of China. And base on the property of our university, we select some examples about petrochemical industry. These examples may help readers to understand the application of advanced mathematics in petrochemical reover，through the teaching experience,in this edition,we begin with a pretest to assess the necessary mathematical ability.

This book is divided into two is volume contains space analytic geometry and vector algebra,calculus of multivariate function,curve integral and surface integral,infinite select the examples and exercises carefully,emphasizing the cultivation of basic computing skills and the practical application of the theory.

This book may be used as a textbook for undergraduate students in the science and engineering schools whose majors are not mathematics, and may also be suitable to the readers at the same level.