In the Heart of the Sea by Nathaniel Philbrick

In 1820, the 240-ton Essex set sail from Nantucket on a routine voyage for whales. Fifteen months later, in the farthest reaches of the South Pacific, it was repeatedly rammed and sunk by an eighty-ton bull sperm whale. Its twenty-man crew, fearing cannibals on the islands to the west, made for the 3,000-mile-distant coast of South America in three tiny boats. During ninety days at sea under horrendous conditions, the survivors clung to life as one by one, they succumbed to hunger, thirst, disease, and fear.
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