经典好书。

Advanced Calculus，1983, 3rd ed.

Angus E. Taylor and W. Robert Mann

Contents:

1. Fundamentals of Elementary Calculus
2. The Real Number System
3. Continuous Functions
4. Extensions of the Law of the Mean
5. Functions of Several Variables
6. The Elements of Partial Differentialtion
7. General Theorems of Partial Differentiation
8. Implicit-Function Theorems
9. The Inverse Function Theorem with Applications
10. Vectors and Vector Fields
11. Linear Transformations
12. Differential Calculus of Functions from R^n to R^m
13. Double and Triple Integrals
14. Curves and Surfaces
15. Line and Surface Integrals
16. Point-Set Theory
17. Fundamental Theorems on Continuous Functions
18. The Theory of Integration
19. Infinite Series
20. Uniform Convergence
21. Power Series
22. Improper Integrals
Answers to Selected Exercises