Methodological notes. Consistent definition of the local equivalence principle

The opinion that the mathematical training of physicists, even leading ones, is insufficient is confirmed.
These are the claims of V. A. Fock and N. N. Bogolyubov was presented to Landau. Mathematics is not
reduced to a set of formulas and solutions to equations. A new formulation of the local principle of
equivalence of the gravitational field and the accelerated frame of reference based on the standard
mathematical epsilon-delta method is proposed.