Mandarin is a group of Chinese dialects that are considered the official language in many Chinese-speaking communities. The Beijing dialect is considered as standard pronunciation of Mandarin. Thus, when people say the "Chinese language", they implicitly refer to Mandarin.
Does anyone know where I can find a descriptive grammar and a generative grammar of Mandarin, in English or French?
It is, falsely, assumed that Mandarin is the mother tongue of all Chinese speakers (here we can understand Mandarin as 普通话/国语/华语). The mother tongue would be the language that someone learned at home ...