Calculus of several variables /
Saved in:
| Author / Creator: | Lang, Serge, 1927-2005 |
|---|---|
| Edition: | 3rd ed. |
| Imprint: | New York : Springer-Verlag, c1987. |
| Description: | xii, 503, [95] p. : ill. ; 25 cm. |
| Language: | English |
| Series: | Undergraduate texts in mathematics |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6263712 |
Table of Contents:
- I. Basic Material
- 1. Vectors
- 2. Differentiation of Vectors
- 3. Functions of Several Variables
- 4. The Chain Rule and the Gradient
- II. Maxima, Minima, and Taylor's Formula
- 5. Maximum and Minimum
- 6. Higher Derivatives
- III. Curve Integrals and Double Integrals
- 7. Potential Functions
- 8. Curve Integrals
- 9. Double Integrals
- 10. Green's Theorem
- IV. Triple and Surface Integrals
- 12. Triple Integrals
- V. Mappings, Inverse Mappings, and Change of Variables Formula
- 13. Matrices
- 14. Linear Mappings
- 15. Determinants
- 16. Applications to Functions of Several Variables
- 17. The Change of Variables Formula
- Appendix: Fourier Series