微积分-(第2卷)-(英文版) 内容简介

　　《微积分（第2卷 英文版）》为《微积分》一书的第二卷，适用于工科院校非数学专业本科新生，亦可作为工程技术人员的参考书籍。本卷包含四个章节，内容涵盖多元函数微分学，多元函数积分学，第二型曲线积分、第二型曲面积分及无穷级数。《微积分（第2卷 英文版）》包含大量例题及习题。

微积分-(第2卷)-(英文版) 目录

Chapter 8 Differential Calculus of Multivariable Functions
8．1 Limits and Continuity of Multivariable Functions
8．2 Partial Derivatives and Higher—Order Partial Derivatives
8．3 Linear Approximations and Total Differentials
8．4 The Chain Rule
8．5 Implicit Differentiation
8．6 Applications of Partial Derivatives to Analytic Geometry
8．7 Extreme Values of Functions of Several Variables
8．8 Directional Derivatives and The Gradient Vector
8．9 Examples
Exercises 8

Chapter 9 Multiple Integrals
9．1 Double Integrals
9．2 Calculating Double Integrals
9．3 Calculating Triple Integrals
9．4 Concepts and Calculations of The First Type Curve Integral
9．5 The First Type Surface Integral
9．6 Application of Integrals
9．7 Examples
Exercises 9

Chapter 10 The Second Type Curve Integral， Surface Integral，and Vector Field
10．1 The Second Type Curve Integral
10．2 The Green's Theorem
10．3 Conditions for Plane Curve Integrals Being Independent of Path， Conservative Fields
10．4 The Second Type Surface Integral
10．5 The Gauss Formula， The Flux and Divergence
10．6 The Stokes' Theorem， Circulation and Curl
10．7 Examples
Exercises 10

Chapter 11 Infinite Series
11．1 Convergence and Divergence of Infinite Series
11．2 The Discriminances for Convergence and Divergence of Infmite Series with Positive Terms
11．3 Series With Arbitrary Terms， Absolute Convergence
11．4 The Discrinunances for Convergence of Improper Integral， г Function
11．5 Series with Function Terms， Uniform Convergence
11．6 Power Series
11．7 Expanding Functions as Power Series
11．8 Some Applications of The Power Series
11．9 Fourier Series
11．10 Examples
Exercises 11

Appendix Ⅳ Change of Variables in Multiple Integrals
Appendix Ⅴ Radius of Convergence of Power Series

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