Does anyone know where I can find a descriptive grammar and a generative grammar of Mandarin, in English or French?
The best I know of is Chinese: A Comprehensive Grammar (Routledge Comprehensive Grammars) by Yip Po-Ching and Don Rimmington.
There are quite a lot of Chinese grammar books. I have got one here:
Modern Mandarin Chinese Grammar: A Practical Guide
by Claudia Ross and Jing-heng Sheng Ma
Sold in Amazon ranging from $30 to $100.
EDIT: Tens of various grammar books are listed in Chinese Grammar Wiki. The one above is included.
Chinese Grammar Wiki
There are a lot websites about Chinese grammar online, just google for it.
I have a copy of 外国人实用汉语语法, I would say it is a excellent book, but the one I have is of an old edition. Here is the revised edition:
外国人实用汉语语法(修订本)(中英文对照) A PRACTICAL CHINESE GRAMMAR FOR FOREIGNERS(Revised Edition) (In both English and Chinese)
Chinese grammar is a bogus. if you went through a grammar book, you will find many rules, and exceptions as many as (if not more than) rules