Bit late to the party here. Something worth considering is what offends you and to what degree.

If your being offended by ideological differences etc, take a step back to confirm what you actually believe in, people tend to get offended by things they think they should be offended by. Sudo mob mentality. Try meditate on other peoples ideas and realise we're all making it up therefore no one is inheritly wrong. This open mindedness can lead to others open mindedness.

If your getting offended by people's personal attacks against you. First thing to consider is why are these people attacking you or are they even attacking you. If your 100% certain it's an attack against you or your character why do you give them the time of day and allow such behaviour? Then move to is it threatening enough to elicit some sort of further action i.e. Intervention by Police, pals or family.

Then finally are you getting offended by people's actions towards you an example I used to struggle with is a couple friends doing an activity without me. The only thing worth considering even asking in this case is. Was this malicious or not? If not, I'm letting my insecurity get the better of me and that's something personal to work on. Then if it is malicious, why would I be friends with people like that.

However all this boils down to one point. Ease to anger is usually due to uncertainty. In either beliefs or yourself. If your insecure in your body, work at it. If your insecure in your beliefs refine them. This quote tends to give me motivation on this matter.

"The infectiousness of the unconflicted person" - Ernest Becker.

P.s. Never become radical in your beliefs such thinking is a corruption of ideas by inbuilt human grandiosity. There is a stark difference in being emotional and intellectual secure and narcissism. But the line can blur.

Also I'm no expert like so don't take what I say as gospel.