  Fourier coefficients of Eisenstein series figure prominently in the study of
automorphic L-functions via the Langlands-Shahidi method, and in various other
aspects of the theory of automorphic forms and representations.
  In this paper, we define Langlands Eisenstein series for ${\rm SL}(n,\mathbb
Z)$ in an elementary manner, and then determine the first Fourier coefficient
of these series in a very explicit form. Our proofs and derivations are short
and simple, and use the Borel Eisenstein series as a template to determine the
first Fourier coefficient of other Langlands Eisenstein series.
