Term 3, Mon. Period 3 · Faculty of Science, Niigata University
Textbooks
- Y. Matsumoto, “多様体の基礎” (in Japanese), University of Tokyo Press
Main references
- L. W. Tu, “An Introduction to Manifolds” (Japanese translation by M. Masuda, H. Abe, and T. Horiguchi, Shokabo)
- Y. Matsushima, “多様体入門” (in Japanese), Shokabo
Course contents
- Definition of manifolds
- Examples of manifolds (on-demand lecture)
- $C^{\infty}$ functions
- $C^{\infty}$ maps
- Tangent spaces
- Differentials of $C^{\infty}$ maps
- Examples of differentials of $C^{\infty}$ maps
- Local properties of maps; exam