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The phrase "有的是" is a colloquial expression in Chinese that conveys the idea of abundance or availability. It is often used to indicate that there is plenty of something, and it can be translated as "there are plenty of" or "there is no shortage of" in English.
In the examples provided:
咱们图书馆有的是书，你可以多看看。
("Our library has plenty of books; you can take a look at more.")
Here, "有的是书" emphasizes that the library is well-stocked with books, suggesting that the listener has many options to choose from.
这儿水果有的是，你多拿一点儿。
("There is plenty of fruit here; you can take a bit more.")
In this case, "有的是水果" indicates that there is an abundance of fruit available, encouraging the listener to take more without hesitation.
The structure "有的是" can be used with various nouns to express that there is a sufficient or abundant quantity of that noun. It is a useful phrase for emphasizing availability and encouraging others to partake in what is offered.