Genesis 2 does not present a creation account at all but presupposes the completion of God’s work of creation as set forth in chapter 1. The first three verses of Genesis 2 simply carry the narrative of chapter 1 to its final and logical conclusion, using the same vocabulary and style as employed in the previous chapter. It sets forth the completion of the whole primal work of creation and the special sanctity conferred on the seventh day as a symbol and memorial of God’s creative work. Verse 4 then sums up the whole sequence that has just been surveyed by saying, “These are the generations of heaven and earth when they were created, in the day that Yahweh God made heaven and earth.” Having finished the overall survey of the subject, the author then develops in detail one important feature that has already been mentioned: the creation of man. As we examine the remainder of Genesis 2, we find that it concerns itself with a description of the ideal setting that God prepared for Adam and Eve to begin their life in, walking in loving fellowship with Him as responsive and obedient children. From the survey of the first fifteen verses of chapter 2, it becomes quite apparent that this was never intended to be a general creation narrative. Genesis 1 is the only creation account to be found in the Hebrew Scripture and it is presupposed as the background of Genesis 2. . . . Quite clearly, then, chapter 2 is built on the foundation of chapter 1 and represents no different tradition than the first chapter or discrepant account of the order of creation.
–Encyclopedia of Bible Difficulties