For details consult the time table of  Eindhoven airport.
Once you have arrived at Eindhoven Airport, you can take the shuttle bus (401).
The other possibility is to take a taxi to the centre of Eindhoven which will cost about  35,- euro.

Airlines Serving Amsterdam

Airlines operating at Amsterdam Schiphol

Use the on-line time table of the Dutch railways (called NS) for international train connections to Eindhoven.

Other possibilities:

Rotterdam, Maastricht-Aachen, Brussels, Paris, Duesseldorf

It is possible to come to Eindhoven via the airports of Amsterdam, Maastricht or Rotterdam; from all three cities there are regular train connections to Eindhoven. There are also airports not too far from Eindhoven, in Brussels and Duesseldorf.
Brussels Airport (Zavetem) has a train connection to Eindhoven via either Dordrecht (change in Brussels and Dordrecht) or Breda/Roosendaal (3 changes) which take respectively 3 ^1/2 and 2 ^1/2 hours.
Also Duesseldorf has train connections to Eindhoven, either directly from the airport, via Duisburg, Viersen and Venlo (3 changes, approximately 1 h. 55 min.) or via Duesseldorf main station (Hauptbahnhof) to Venlo (2 changes; 2 h. 5 min.). 

Connections coming from Paris depend on the airport of arrival. From Paris there is a TGV /Thalyss connection to the Netherlands (Rotterdam).