The document summarizes the early exploration and settlement of North America by various European powers including the Dutch, French, and English from the 15th-17th centuries. It discusses early English fishing and trade with Native Americans on the coasts in the 1500s. It then focuses on the English settlements at Roanoke from 1584-1590, Jamestown in 1607, and the leadership of figures like Captain John Smith and Peter Stuyvesant during the Dutch colonization of New York in the 1600s.