| 《微积分(套装上下册)(英文版)》是由中南大学出版社出版的。 |
| chapter 7 analytic geometry in space and vector algebra 7.1 vector and their linear operations 7.2 rectangular coordinate systems in space and components of vectors 7.3 the scalar product vector product mixed product 7.4 planes and their equations 7.5 straight lines in space and their equations 7.6 surfaces and their equations 7.7 space curves and their equations 7.8 quadric surfaces chapter 8 the multivariable differential calculus and its applications 8.1 basic concepts of muhivariable functions 8.2 limit and continuity for function of several variables 8.3 partial derivatives and higher-order partial derivatives 8.4 total differentials 8.5 directional derivatives and the gradient 8.6 differentiation of muhivariable composite functions 8.7 differentiation of impliet functions 8.8 applications of differential calculus of muhivariable functions in geometry 8.9 extreme value problems for muhivariable functions chapter 9 multiple integrals 9.1 double integral 9.2 evaluation of a double integral by iterated integration 9.3 change of variables in a double integral 9.4 improper double integrals 9.5 applications of double integrals 9.6 extensions to higher dimensions 9.7 change of variables in a triple integral chapter 10 line integrals and surface integrals 10.1 line integrals with respect to arc lengths 10.2 line integrals with respect to coordinates 10.3 green's theorem, path independence 10.4 surface integrals with respect to surface areas 10.5 surface integrals with respect to coordinates 10.6 the divergence theorem 10.7 stokes theorem chapter 11 differential equations 11.1 differential equations and their solutions 11.2 separable equations 11.3 linear first-order equations 11.4 homogeneous equations 11.5 exact equations 11.6 reducible second-order equations 11.7 second-0rder linear equations answers |
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