Description of bn*.dvi files.

• The bnintr.dvi file is just an introduction to the whole thing.
• The bn00.dvi file is a small introduction to calculus on Banach spaces.
• The bn01.dvi file is a short description of the possible definitions of imersions and submersions between Banach spaces.
• The bn02.dvi file is a small introduction to calculus on Banach manifolds.
• The bn03.dvi file is a short description of the natural topological assumptions for Banach manifolds.
• The bn04.dvi file is a short description of the theory of imersions, embeddings and Banach submanifolds.
• The bn10.dvi file defines the Banach space structure to some spaces of sections of a vector bundle with compact base. Some operators are proven to be smooth.
• The bn11.dvi file defines the Banach manifold strucure to some spaces of sections of a general fiber fundle. Some operators are proven to be smooth. The concept of a mixed bundle is introduced (general fiber bundles whose fiber are vector bundles themselves). The space of sections is proven to be a Banach vector bundle.
• The bn12.dvi file takes a closer look to Banach manifolds of curves. The Euler-Lagrange equations are proven. Some theory of ODE is developed (the version with Caratheodory conditions).
• The bn20.dvi file goes into the theory of sub-Riemannian minimizers.
• The bnref.dvi file is the list of bibliographical references.