1. A method for notifying a user of network resource updates for a terminal, implemented by a browser of a user computer, comprising: identifying a plurality of network resources from multiple sources to be directly and dynamically monitored on the user computer, wherein the multiple sources include at least: network resources listed in the browser's favorites folder; network resources listed in the browser's address bar drop-down list; and network resources pointed to by a web address entered in the browser's address bar; directly and dynamically monitoring the identified network resources by the browser of the user computer based on a trigger mechanism, wherein the trigger mechanism is an immediate trigger mechanism configured to trigger the browser taking consecutive snapshots of a same network resource based on updating instructions from the user; determining whether there are updates in the monitored network resources by capturing and comparing a specific element of the same network resource based on document object model of the same network resource by using a process including: searching the specific element based on a text style of the specific element of the network resource as specified by the user; and when it is determined that there are updates in the monitored network resources, notifying, by the browser of the user computer, the user according to a preset update notification means and the multiple sources of updated network resources.