All in all, the fact that Aaron Burr went down in history as a villain is simply a mistake of the public. He was in the wrong duel at the wrong time, and his reputation became unsalvagable while Hamilton went down in history as a victim and a martyr. When we look at the facts, we find that Burr was not bad at all, just misrepresented.
Tindall, George B., and David E. Shi. America: a Narrative History. 7th ed. New York, NY: W.W. Norton & Company, Inc., 2004.