  The main subject of the book is an up-to-date and in-depth survey of the
theory of normal frames and coordinates in differential geometry.
  The book can be used as a reference manual, review of the existing results
and introduction to some new ideas and developments.
  In the book can be found practically all existing essential results and
methods concerning normal frames and coordinates. Most of the results are
represented in full detail with full, in some cases new, proofs. All classical
results are expanded and generalized in various directions. Theorems of
existence, uniqueness and, possibly, holonomicity of the normal frames and
coordinates are proved; mostly, the proofs are constructive and some their
parts can be used independently for other tasks.
  Besides published results, their extensions and generalizations, the book
contains completely new results which appear for the first time.
