  Scattering of electromagnetic waves by many small particles of arbitrary
shapes is reduced rigorously to solving linear algebraic system of equations
bypassing the usual usage of integral equations.
  The matrix elements of this linear algebraic system have physical meaning.
They are expressed in terms of the electric and magnetic polarizability
tensors. Analytical formulas are given for calculation of these tensors with
any desired accuracy for homogeneous bodies of arbitrary shapes. An idea to
create a "smart" material by embedding many small particles in a given region
is formulated.
