Edit:
Given that my comment seems fairly high at the moment, I'll post a link to his PhD thesis, which seems to be the genesis of Idris for anyone interested: http://eb.host.cs.st-andrews.ac.uk/writings/thesis.pdf
A "functional" language is not always a "pure" language, and a "pure functional" language certainly does not always have dependent types. These concepts build on each other.
A great intro to FP is "Programming in Standard ML". Concise, precise, and very approachable. SML is functional, but not pure nor dependently-typed (though purity is encouraged). http://www.cs.cmu.edu/~rwh/smlbook/book.pdf
Haskell is like SML with enforced purity, a different module/typeclass system, and default laziness. LYAH is the best intro. http://learnyouahaskell.com/
Idris is aimed primarily at those already familiar with Haskell, so don't be discouraged if the online REPL feels too foreign!
Here's a couple of talks about Idris:
Edwin Brady at London Haskell: https://www.youtube.com/watch?v=vkIlW797JN8
David Christiansen at Haskell DC: http://bmsherman.github.io/idris-drc-3-26-14/
And there's a tutorial and other docs available here: http://www.idris-lang.org/documentation/