During the first five years of the AGILE mission we have observed many gamma-ray transients of Galactic and extragalactic origin. A fast reaction to unexpected transient events is a crucial part of the AGILE monitoring program, because the follow-up of astrophysical transients is a key point for this space mission. We present the workflow and the software developed by the AGILE Team to perform the automatic analysis for the detection of gamma-ray transients. In addition, an App for iPhone will be released enabling the Team to access the monitoring system through mobile phones. In 2010 September the science alert monitoring system presented in this paper recorded a transient phenomena from the Crab Nebula, generating an automated alert sent via email and SMS two hours after the end of an AGILE satellite orbit, i.e. two hours after the Crab flare itself: for this discovery AGILE won the 2012 Bruno Rossi prize. The design of this alert system is maximized to reach the maximum speed, and in this, as in many other cases, AGILE has demonstrated that the reaction speed of the monitoring system is crucial for the scientific return of the mission
