The Centraal Station is the main railway station of the city.
It’s the perfect vantage point from which is possible to take a ferry that connects the city to Amsterdam Noord, across the t’IJ. Ferries are free and you can board one just behind the station. There is a direct express train connection between the Airport of Schiphol and the central station. Most of the trains arrive and depart from this station.
Other train stations are Bijlmer, Amstel, Muiderpoort (all southeast), RAI, Zuid WTC (both south), Lelylaan and Sloterdijk (both west).
Schiphol airport also has its own train station, with at least seven trains an hour to Amsterdam Centraal, with additional trains going to other Amsterdam stations.