  The article is devoted to application of tensorial formalism for derivation
of different types of Maxwell's equations. The Maxwell's equations are written
in the covariant coordinate-free and the covariant coordinate forms. Also the
relation between vectorial and tensorial formalisms and differential operators
for arbitrary holonomic coordinate system in coordinate form is given. The
results obtained by tensorial and vectorial formalisms are verified in
cylindrical and spherical coordinate systems.
