俄罗斯数学经典:卓里奇数学分析教程 第2卷(第2版)

图书目录

Prefaces

9. Continuous Mappings (General Theory)

10. Differential Calculus from a General Viewpoint

11. Multiple Integrals

12. Surfaces and Differential Forms in Rn

13. Line and Surface Integrals

14. Elements of Vector Analysis and Field Theory

15. Integration of Differential Forms on Manifolds

16. Uniform Convergence and Basic Operations of Analysis

17. Integrals Depending on a Parameter

18. Fourier Series and the Fourier Transform

19. Asymptotic Expansions

Topics and Questions for Midterm Examinations

Examination Topics

Examination Problems (Series and Integrals Depending on a Parameter)

Intermediate Problems (Integral Calculus of Several Variables)

Appendix A. Series as a Tool (Introductory Lecture)

Appendix B. Change of Variables in Multiple Integrals

Appendix C. Multidimensional Geometry and Functions of a Very Large Number of Variables

Appendix D. Operators of Field Theory in Curvilinear Coordinates

Appendix E. Modern Formula of Newton-Leibniz

References

Index of Basic Notation

Subject Index

Name Index