So I don't know about everybody else but I love the fact that there is no map in this game. With there being no map it makes you do just what you think going into a new place with no map would do, get lost. I love it, getting lost in the beautiful environments of Destiny is one of the things I am most excited to experience. So many times in open world games there is a map, you pull it up, place a waypoint, and follow the dotted line to the objective. There is no reason to explore and enjoy the world the developers have created. My map is going to be in my head once I spend enough time exploring the worlds of Destiny. My body is ready.
Edit: I added a link of an interview with Deej saying we will not be getting a map. Skip to 2:30-2:50 :)
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The fact that the companion app has a map of the tower makes me suspect it will also be usable as an area map.