I Summary of Main Results.- II Algebraic Curves.- III Maps From a Curve to a Commutative Group.- IV Singular Algebraic Curves.- V Generalized Jacobians.- VI Class Field Theory.- VII Group Extension and Cohomology.- Supplementary Bibliography.Reprint of a successful book Written by the author of the classic, best-selling title Galois Cohomology Presents local class field theory from the cohomological point of view