微积分-(第2卷)-(英文版)

内容简介

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　　《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。

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目录

Chapter 8 Differential Calculus of Multivariable Functions8．1 Limits and Continuity of Multivariable Functions8．2 Partial Derivatives and Higher—Order Partial Derivatives8．3 Linear Approximations and Total Differentials8．4 The Chain Rule8．5 Implicit Differentiation8．6 Applications of Partial Derivatives to Analytic Geometry8．7 Extreme Values of Functions of Several Variables8．8 Directional Derivatives and The Gradient Vector8．9 ExamplesExercises 8Chapter 9 Multiple Integrals9．1 Double Integrals9．2 Calculating Double Integrals9．3 Calculating Triple Integrals9．4 Concepts and Calculations of The First Type Curve Integral9．5 The First Type Surface Integral9．6 Application of Integrals9．7 ExamplesExercises 9Chapter 10 The Second Type Curve Integral， Surface Integral，and Vector Field10．1 The Second Type Curve Integral10．2 The Green’s Theorem10．3 Conditions for Plane Curve Integrals Being Independent of Path， Conservative Fields10．4 The Second Type Surface Integral10．5 The Gauss Formula， The Flux and Divergence10．6 The Stokes’ Theorem， Circulation and Curl10．7 ExamplesExercises 10Chapter 11 Infinite Series11．1 Convergence and Divergence of Infinite Series11．2 The Discriminances for Convergence and Divergence of Infmite Series with Positive Terms11．3 Series With Arbitrary Terms， Absolute Convergence11．4 The Discrinunances for Convergence of Improper Integral， г Function11．5 Series with Function Terms， Uniform Convergence11．6 Power Series11．7 Expanding Functions as Power Series11．8 Some Applications of The Power Series11．9 Fourier Series11．10 ExamplesExercises 11Appendix Ⅳ Change of Variables in Multiple IntegralsAppendix Ⅴ Radius of Convergence of Power Series

封面

书名:微积分-(第2卷)-(英文版)

作者:张宇

页数:301

定价:¥48.0

出版社:哈尔滨工业大学出版社

出版日期:2016-03-01

ISBN:9787560358963

PDF电子书大小:105MB 高清扫描完整版