What’s special about currying or partial application?

I’ve been reading articles on Functional programming everyday and been trying to apply some practices as much as possible. But I don’t understand what is unique in currying or partial application.

What is the advantage of currying?

I just learned about currying, and while I think I understand the concept, I’m not seeing any big advantage in using it.

Are chained methods that require only one parameter per method equivalent to currying?

I’ve been toying around with Ruby lately and I found myself wondering if in pure object oriented languages (and even those that are not pure) making methods that take only one parameter and then get chained together is equivalent to currying in languages with a functional style? If not, why not? I’d appreciate a detailed, even rigorous answer on the subject.

Is currying too complex a tool to actually use?

Today I feel like I finally grokked currying (in Javascript), and of course, like any programmer who has learned a new trick, my mind immediately began racing over how to improve my current codebase using it.

Have they missunderstood currying or have I?

This question is similar to the question posted on Does groovy call partial application ‘currying’?, but not completely the same, and the answers given there do not really satisfy me.

Functional Programming style: How to write functions – explicit currying, implicit currying or lamdas?

So I have been using F# for a while and studying a bit of Haskell on the side and I have realized I could rewrite the exact same function one of three different ways.

Functional Programming style: How to write functions – explicit currying, implicit currying or lamdas?

So I have been using F# for a while and studying a bit of Haskell on the side and I have realized I could rewrite the exact same function one of three different ways.

Functional Programming style: How to write functions – explicit currying, implicit currying or lamdas?

So I have been using F# for a while and studying a bit of Haskell on the side and I have realized I could rewrite the exact same function one of three different ways.