This week's prize is the book "War Stories II : Heroism in the Pacific" by Oliver North

On April 1st, 1945, General Simon B. Buckner Jr., lead over 50,000 troops of the 10th US Army, in landing on the southwest coast of this Japanese island. The Japanese surprised the American forces with a change in strategy, drawing them into the mainland rather than confronting them at the water's edge. While Americans landed without loss of men, they would suffer more than 36,000 casualties, including more than 12,000 deaths. The Japanese staged a desperate defense of the island, a defense that included waves of kamikaze air attacks.  This battle quickly became the bloodiest battle between the United States and Japan during World War II.  Name this battle.