We play Learned League, the greatest trivia competition in all the land. Each day, we run through the questions and how we arrived at the answers (or at least, how we arrived at our answers).
Those books are "This Way Up: When Maps Go Wrong (And Why It Matters)" by Mark Cooper-Jones and Jay Foreman, and "A History of the World in 47 Borders: The Stories Behind the Lines on Our Maps" by Jonn Elledge.