Hi, I recommend the documentation on the website (http://edwardlib.org). See, e.g., the tutorials and API documentation. For a general overview, see Blei (2014).
Edward is pretty encompassing, so there isn't one survey or textbook that covers all its features. For learning about specific models or inference algorithms, you'd have to look into specific survey papers, such as one on Hamiltonian Monte Carlo, or say, mixed membership models.