We will give a brief introduction to the derivation of Euler equation from quantum many-body dynamics in the mean-field and semiclassical limit. In the mean-field setting, the problem on the derivation of nonlinear Schroedinger equation(NLS) from quantum many-body dynamics arises from the study of Bose-Einstein condensate (BEC), which is a physical phenomenon that occurs when particles take the same quantum state. When Planck’s constant tends to zero, Euler equations are formally recovered from the NLS in the semiclassical limit. We establish strong and quantitative microscopic to macroscopic convergence of mass and momentum densities up to the 1st blow up time of the limiting Euler equation.