The pilot stated that he was utilizing an iPad for navigation, and mistakenly landed in a field rather than his intended destination, an airport with a turf runway. After landing, he taxied the airplane to a corner of the field and commenced a takeoff roll, estimating the available takeoff distance to be about 600 feet. Just after takeoff, the left wing struck a tree and the airplane subsequently impacted the ground, resulting in substantial damage to the left wing and engine firewall. The pilot reported no mechanical malfunctions or abnormalities with the airplane that would have precluded normal operation.