The holomorphic weight $k$ Eisenstein series $E_k$ on the upper half plane are the first examples of elliptic modular forms. In this talk we will explain how they are constructed adelically. We start with an induced representation on the adelized group $\text{GL}(2)$, choose local sections at each place, and carry out the typical summation process. Using strong approximation, we "descend" to a function on the upper half plane, thus recovering the classical $E_k$.