Introduction to manifolds

Yakovenko S.

Table of contents :
Definitions and examples……Page 1
Supplementary problems……Page 7
Tangent bundles……Page 9
Algebra of vector fields. Lie derivatives……Page 15
Appendix: Algebraic language in geometry……Page 19
Algebraic language in geometry (continued)……Page 24
Differential forms: Definitions……Page 27
Homotopy formula. Cohomology……Page 31