Eventually Warren Christopher negotiated a deal with the terrorists in which they got everything they wanted and the hostages were freed on the same day Ronald Reagan was inaugurated as President.
The US was changed forever. On the plus side, the crisis was responsible for the election of Ronald Reagan. On the downside:
On a personal note, I attended the 1980 graduation of friend from Foreign Service School and the hostages were all anybody talked about. It was a very somber occasion and, as I recall, the feeling was that it was open season on US diplomats.
Wikipedia's entry on the hostage crisis.
On This Day, from the BBC.
The diary entry of hostage Robert C. Ode on the day of the release.
The Columbia Encyclopedia.
Remembering the Failed Iranian Mission.
444 Days: The Iranian hostage crisis and its aftermath.
Jimmy Carter's Presidency from Encyclopedia Britannica.
"The Wages of Appeasement" by Victor Davis Hanson.
Iran Hostage Crisis from US History.com.
Terrorist attacks on Americans, 1979-1988 from Frontline.