Numerical Solution of Partial Differential Equations by the Finite Element Method (Dover Books on MaTHEMA 1.4tics)

I think this is one of the best introductions to Finite-Element methods. Perfect for Students that do not have a strong mathematical backgroundbut that want to understand the topic. The author is writing in a splendid way.

Johnson's book is a good introduction to the subject, covering a lot of material in a reasonable style. It's showing its age slightly in typesetting and notation, but this shouldn't be a problem for most readers. The price is excellent for what you get although more advanced readers should probably look at Ern and Guermond or Brenner and Scott.

This is very good for the begin of FEM. The basis are clearly presented. Of course it is not the whole knowledge but give you some idea how Is it working.