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Textbook
Advanced Calculus, 3rd EditionISBN: 978-0-471-02566-5
Paperback
752 pages
January 1991, ©1983
 This is a Print-on-Demand title. It will be printed specifically to fill your order. Please allow an additional 10-15 days delivery time. The book is not returnable.
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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 Differentiation.
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¯nto 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.
Index.
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 Differentiation.
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¯nto 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.
Index.
Related Titles
General Calculus
Resources for
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