CONTENTS
I. Introduction................................................................................................................. 5
II. Covariant differentiation in fibre bundles............................................................. 7
III. Connection with the Lie derivation....................................................................... 16
IV. Connections in the bundles of differential objects........................................... 19
V. Definition of the covariant derivative in terms of functional equations........... 23
Appendix. Outline of the theory of prolongations.................................................... 29
1. Invariance equations of geometric object............................................................ 30
2. Bases of linear forms and structure equations of fibre bundles.................... 31
3. Prolongations............................................................................................................ 33
References.................................................................................................................... 36