Analysis in vector spaces : a course in advanced calculus /
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| Other Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, N.J. :
Wiley-Interscience,
c2009.
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| Subjects: |
Table of Contents:
- 1. Sets and functions
- 2. Real numbers
- 3. Vector functions
- 4. Normed vector spaces
- 5. Derivatives
- 6. Diffeomorphisms and manifolds
- 7. Higher-order derivatives
- 8. Multiple integrals
- 9. Integration on manifolds
- 10. Stokes’ theorem
- Appendix A. Construction of the real numbers
- Appendix B. Dimension of a vector space
- Appendix C. Determinants
- Appendix D. Partitions of unity.