Bring some rope, because she will try to run away.

@NiKKoM
the rose thing is a great idea, i will try it.

@Strategyking92

it's a good idea too.

With respect to NiKKoM, in my opinion that has at least as much odds of failing as succeding. If she is a shy or private person in any way, she will resent you for making a spectacle out of her and putting presure on her.

Try to strike up small, meaningful conversations and building on that daily. Start with just a hi, or even just a nod. Having a puppy with you is not an option, since you are at work, but one would be a great tool.

Anyways, if within the couple of few conversations she hasn't  used the words "my boyfriend" or "my husband" (she might say it out of context even if she doesn't have one) then it is a sign that she is interested. In my experience, any woman who is not interested in you will mention having a boyfriend no matter what the conversation is about.

That only works if she's your mother too.

@Dogs Rule
she is in a floor where there's not many people, besides a think she likes me too, 'cause she try to make eye contact with me every time i go to her floor.

I've found the line "Your head would look so hot surrounded by candles on my dresser" to be very effective.

Extra points if you refer to yourself only in the third person while talking to her.

"Does this rag smell like chloroform to you?"

This is an easy one.

First, make sure you have these things: Binoculars, a life jacket, Calvin Kleins and a tricked out DeLorean.

Second, Mapquest her house.

Third, go to her house and find a tree that offers a view right into her window.

Fourth, climb the tree with binoculars and peer into window.

Fifth, fall into street below as soon as a car is near you.

Sixth, woman falls for you and asks your name. Tell her Calvin, like on your jeans.

Hold on ... wait a minute. I think that was a movie or something. Trying to figure out where the DeLorean comes in.

Ok, for real now - get to know her as her friend. Realize your strengths and your weaknesses. And just find out if you like the things she likes. Friendship make take longer, but you can figure if she's a nutcase before you get involved. It's easier to sever the connection before bodily fluids are exchanged.

And your name is Calvin. And you just fell out of a tree.

I don't know the best way to approach her, just remember the third date rule, if a girl accepts going out with you three times it means that she likes you, so on the third date go ahead and kiss her, if you don't you'll probable end being one good friend of her, and you don't want that...