全新正版 微积分(Ⅱ英文版普通高等院校数学精品教材) 编者:毛纲源//梁敏//马迎秋|总主编:米洪海//毛纲源 9787568028400 华中科技大学
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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2023-04-14
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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
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