As introverts, I think we don't get mad over trivial things. It will take the greatest offense or a huge amount of annoyance for us to engage ourselves into conflicts and arguments.
Personally, I have had the phrase, "This, too, shall pass." as an everyday mantra. This helps me calm myself whenever I get fed up with people around me and the environment where I am at. Whenever things get worse, I will just walk away and distract myself to avoid thinking of all the troubles I've set aside. I don't think this is the best, but I guarantee it works.
Oftentimes, I will just lock myself in my room, write about what happened in my blog, and just let things be. I always think that even if I am to argue, I still won't be able to convince them to act the way I want them so better not do it.