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微积分 英文 下2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

微积分 英文 下
  • 陈海波等编著 著
  • 出版社： 长沙：中南大学出版社
  • ISBN：9787811059878
  • 出版时间：2009
  • 标注页数：255页
  • 文件大小：11MB
  • 文件页数：264页
  • 主题词：微积分－英文

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图书目录

Chapter 7 Analytic Geometry in Space and Vector Algebra1

7.1 Vector and their linear operations1

7.2 Rectangular coordinate systems in space and components of vectors6

7.3 The scalar product vector product mixed product15

7.4 Planes and their equations23

7.5 Straight lines in space and their equations28

7.6 Surfaces and their equations34

7.7 Space curves and their equations39

7.8 Quadric surfaces41

Chapter 8 The Multivariable Differential Calculus and its Applications47

8.1 Basic concepts of multivariable functions47

8.2 Limit and continuity for function of several variables57

8.3 Partial derivatives and higher-order partial derivatives63

8.4 Total differentials71

8.5 Directional derivatives and the gradient77

8.6 Differentiation of multivariable composite functions84

8.7 Differentiation of implict functions89

8.8 Applications of differential calculus of multivariable functions in geometry100

8.9 Extreme value problems for multivariable functions107

Chapter 9 Multiple Integrals119

9.1 Double integral119

9.2 Evaluation of a double integral by iterated integration123

9.3 Change of variables in a double integral132

9.4 Improper double integrals140

9.5 Applications of double integrals142

9.6 Extensions to higher dimensions147

9.7 Change of variables in a triple integral150

Chapter 10 Line Integrals and Surface Integrals163

10.1 Line integrals with respect to arc lengths163

10.2 Line integrals with respect to coordinates169

10.3 Green's theorem,Path independence174

10.4 Surface integrals with respect to surface areas179

10.5 Surface integrals with respect to coordinates183

10.6 The divergence theorem186

10.7 Stokes theorem192

Chapter 11 Differential Equations199

11.1 Differential equations and their solutions199

11.2 Separable equations204

11.3 Linear first-order equations209

11.4 Homogeneous equations214

11.5 Exact equations220

11.6 Reducible second-order equations224

11.7 second-order linear equations228

Answers242

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