Taking the train while in Europe is a very good idea. The rail system is very developed in Europe as it is a convenient, quick and safe form of transport.
There are many good reasons to travel by train in Europe. Besides the low fares you get if you purchase a pass, you also get to see the country while in the comfort of your cabin.
Europe by train also allows you on certain routes to save on accommodation; if you travel at night on longer trips, for a small price you can be in a sleeper car and save a night in a hotel or youth hostel.