微积分(Ⅱ英文版普通高等院校数学精品教材)
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作者编者:毛纲源//梁敏//马迎秋|总主编:米洪海//毛纲源
出版社华中科技大学
ISBN9787568028400
出版时间2017-12
装帧其他
开本其他
定价29.8元
货号30032347
上书时间2024-06-09
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目录
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
内容摘要
毛纲源、梁敏、马迎秋编著的《微积分（Ⅱ英文版普通高等院校数学精品教材）》采用学生易于接受的知识结构和英语表述方式，科学、系统地介绍了微积分（下册）中无穷级数、偏导数和二重积分、微分方程、差分方程等知识。强调通用性和适用性，兼顾先进性。本书起点低，难度坡度适中，语言简洁明了，不仅适用于课堂教学使用，同时也适用于自学自习。全书有关键词索引，习题按小节配置，题量适中，题型全面，书后附有答案。
本书读者对象为高等院校理工、财经、医药、农林等专业大学生和教师，特别适合作为中外合作办学的国际教育班的学生以及准备出国留学深造学子的参
考书。
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