Alexander Hamilton ( born January 11 , year unknown - probably 1755 or 1757 â `` died July 12 , 1804 ) was the United States ' first Secretary of the Treasury , and was known for the creation of a national bank . Alexander Hamilton ( January 11 , 1755 or 1757 â `` July 12 , 1804 ) was the first United States Secretary of the Treasury , a Founding Father , economist , and political philosopher .