Each different institute/private teacher has its own curriculum and will use some of the following textbooks or a combination of them. Some institutes e.g. Al-Diwan, have written their own books and use them in their courses as well as taking from other more well-established textbooks. All these books are good and all have their strong points and their weak points and so it depends on how your institute/teacher decide to teach you and which set of books they are familiar with.
Here are a few of the main textbooks used, and below is a website you can download the books and have a look through them.
If you want to have a quick look at what’s inside these books then this link (http://www.kalamullah.com/learning-arabic.html) has many of these books to download and also videos of recorded lectures which are very beneficial. Please support the authors by buying the books you study rather than printing/photocopying them.
Here’s a list of books about Arab Culture, History, Language and Travel, chosen by me for their outstanding features.