Your question does not make sense. Are you asking which books of the Bible are written about Israel? The word or rather name of Israel started back in the book of Genesis when a man was renamed...
There is no book called that in the Bible. Many of the Psalms were written by David, so you may be referring to them, in which case the Davidic Psalms were written somewhere between 1010 and 960BC....
The Bible was written over about an 1,100-year period from around 1,000 B.C.E. to around 100 C.E.1 Exact dates are impossible to determine.
Believers assert that the authors of the Bible were men...