bootstrap modal not working at all

4

I know this question has been asked hundred of times before and I’ve been through them but those couldn’t fix my case :s

This is my code so far

    <link href="bootstrap/css/bootstrap.min.css" rel="stylesheet" media="screen">
    <link rel="stylesheet" type="text/css" href="style.css">
    <script src="//ajax.googleapis.com/ajax/libs/jquery/1.10.1/jquery.min.js"></script>
    <script src="//ajax.googleapis.com/ajax/libs/jqueryui/1.10.3/jquery-ui.min.js"> 
    <script src="http://maps.googleapis.com/maps/api/js?key=AIzaSyDY0kkJiTPVd2U7aTOAwhc9ySH6oHxOIYM&sensor=false"></script>
    <link href="bootstrap/js/bootstrap.min.js" rel="stylesheet" media="screen">
    <link href="bootstrap/js/bootstrap-modal.js" rel="stylesheet" media="screen">
    <link href="bootstrap/js/bootstrap-transition.js" rel="stylesheet" media="screen">

and inside body I have this:

<a href="#myModal" role="button" class="btn" data-toggle="modal">Launch demo modal</a>

<div id="myModal" class="modal hide fade" tabindex="-1" role="dialog"   aria-labelledby="myModalLabel" aria-hidden="true">
    <div class="modal-header">
        <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button>
        <h3 id="myModalLabel">Modal header</h3>
    </div>
    <div class="modal-body">
        <p>One fine body…</p>
    </div>
    <div class="modal-footer">
        <button class="btn" data-dismiss="modal" aria-hidden="true">Close</button>
        <button class="btn btn-primary">Save changes</button>
    </div>
</div>

Note that I use some other libraries on the head section because I need them for Google Map maybe, I tried to remove those but still didn’t trigger the Modal view.