Mention in the Book

S 19:16 And mention in the book Maryam, when she withdrew from her family to an eastern place.

S 19:41 And mention Ibrahim in the book. He was a truthful man, a prophet.

S 19:51 And mention Musa in the book. He was sincere and was a messenger, a prophet.

S 19:54 And mention Isma’il in the book. He was true to the promise and was a messenger, a prophet.

S 19:56 And mention Idris in the book. He was a truthful man, a prophet.

These names are to be mentioned in what book? Is the one being addressed being told to mention these names in quran? But isn't quran supposed to have been authored by Allah, which should have put these names in it itself?

Further reading: A Messenger’s Speech?