In some circles Calvinism unfortunately has a reputation for being sinfully contentious, especially when self-labeled Calvinists are arrogant and when non-Calvinists misunderstand what Calvinism really is.
This 94-page book should help:
John Piper. Five Points: Towards a Deeper Experience of God’s Grace. Fearn, Scotland: Christian Focus, 2013.
It’s available as a free PDF.
Related to this are three edifying videos. If you haven’t watched them, I don’t think you’ll regret watching them. And if you have watched them, watch ’em again!
John Piper on Five Points (2.5-minute video):
http://vimeo.com/77060784
The Doctrines of Grace (7-minute video):
http://vimeo.com/85111964
The Calvinist, a poem by John Piper (~4.3-minute video) (Piper’s explanation):
http://vimeo.com/81118691
Without subtitles (and narrated with six other friends: D. A. Carson, R. C. Sproul, Alistair Begg, Thabiti Anyabwile, Matt Chandler, and Sinclair Ferguson):
http://vimeo.com/80146031