I had studied LQG using the thieman articles (mostly the brief of around 80 pages) and some other brief reviews (the one on living reviews on gnernal relativity for example) and also i had readed some articles announced in the threads wich maintains Marcus. But i wanted a most serious lloking so i am now studiying the draft wich is in carllos website. And i must say that althought it tries to be pedagogical the way i am not sure if it does acomplish the task. To begin with if i wouldn´t have any previous knowledge in the subjecto i would have understood anything. Now i am begining the chapter four and the way it introduces the theme, making it depend on that hamilton jacobi equations (althought he call´s it hamiltonian) is very bizarre. May be it is my problem? Do you like that book?