A History of Class Field Theory

In this ‎paper‎‎, ‎we study the historical background of class field theory‎. ‎First‎, ‎we investigate Kummer's theory‎, ‎which is one of the algebraic backgrounds of class field theory‎. ‎Then we turn to Comer's youthful dream that led to the question of finding all Abelian extensions of number fields‎. ‎After this‎, ‎we state Takagi's theorems and finally study Hilbert's problems‎. ‎By examining the historical course of the above‎, ‎we are trying to present a better picture of the historical background of class field theory‎, ‎which is one of the basic foundations of mathematics.