If you already have an engineering degree and you are numerate, then pick up Knuth and start reading. After that, Abelson/Sussman.

It is advisable that you do this before picking up "Learn Ruby/Erlang/Clojure/node.js In 13 Seconds" or whatever the latest shiny toy is that the startup groupie kids are fapping to this month.

Between Knuth and Abelson you will have a solid foundation that 90% of web app hackers lack, and will likely be capable of becoming good with whatever tool you choose to use.