毛綱源、梁敏、馬迎秋編著的《微積分（Ⅱ英文
版普通高等院校數學精品教材）》采用學生易於接受
的知識結構和英語表述方式，科學、繫統地介紹了微
積分（下冊）中無窮級數、偏導數和二重積分、微分
方程、差分方程等知識。強調通用性和適用性，兼顧
先進性。本書起點低，難度坡度適中，語言簡潔明了
，不僅適用於課堂教學使用，同時也適用於自學自習
。全書有關鍵詞索引，習題按小節配置，題量適中，
題型全面，書後附有答案。
本書讀者對像為高等院校理工、財經、醫藥、農
林等專業大學生和教師，特別適合作為中外合作辦學
的國際教育班的學生以及準備出國留學深造學子的參
考書。

Chapter 7 Infinite Series
7.1 Series
Exercises 7.1
7.2 Series with Positive Terms
7.2.1 The Comparison Tests
7.2.2 The Root and Ratio Tests
Exercises 7.2
7.3 Alternating Series and Absolute Convergence
7.3.1 Alternating Series
7.3.2 Absolute Convergence
Exercises 7.3
7.4 Power Series
Exercises 7.4
7.5 Differentiation and Integration of Power Series
Exercises 7.5
7.6 Taylor Series
7.6.1 The Taylor Polynomials at x=0 (or Maclaurin Polynomials)
7.6.2 The Taylor’s series(or Maclaurin series) for function f at 0
7.6.3 The Taylor’s series for function f at a (an arbitrary real number)
Exercises 7.6
Chapter 8 Partial Derivatives and Double Integrals
8.1 Functions of Two Variables
Exercises 8.1
8.2 Limits and Continuity
8.2.1 Limits
8.2.2 Continuity
Exercises 8.2
8.3 Partial Derivatives
8.3.1 Definition
8.3.2 Economical Interpretations of Partial Derivatives
8.3.3 Geometric Interpretations of Partial Derivatives
Exercises 8.3
8.4 Strategy for Finding Partial Derivatives
8.4.1 The Chain Rule
8.4.2 Implicit Differentiation
8.4.3 Higher Derivatives
Exercises 8.4
8.5 Total Differentials
8.5.1 Definition
8.5.2 Relations between Continuity, Partial Derivatives, and Differentiability
8.5.3 Rules for Finding Total Differentials
8.5.4 The Invariance of First Order Total Differential Form
Exercises 8.5
8.6 Extremum of Functions of Two Variables
8.6.1 Locating Maxima and Minima
8.6.2 Methods of Finding Absolute Maxima and Minima
8.6.3 Methods of Finding Conditional Extremum
Exercises 8.6
8.7 Directional Derivatives and The Gradient Vector
8.7.1 Vectors and Vector Operations