Jquery slider interacting with text box

Jquery slider interacting with text box


I am developing a vertical jquery slider. I am able to fetch the value of slider in a text box.
I want to move the slider by typing in the values into the text box. any suggestion. Below is my code

  <script src="js/jquery-1.4.2.min.js" type="text/javascript"></script>
    <script src="js/jquery-ui.min.js"></script>
    <link href="css/jquery-ui.css" rel="stylesheet" type="text/css"/>  

</head>
<body style="margin:300px;">
             <form name="tvfinder-pricerange">
            <input type="text" id="amount" /> - <input type="text" id="amount1" />
            </form>
            <br><br />
            <div id="slider-range" style="height:250px;" ></div>

</body>
</html>
<script language="javascript">
$(function() {
        $("#slider-range").slider({
            range: true,
            orientation: "vertical",
            min: 1,
            max: 3000,
            values: [0, 3000],
            slide: function(event, ui) {
                $("#amount").val('$' + ui.values[0]);
                $("#amount1").val('$' + ui.values[1]);
            }
        });
        $("#amount1").val('$' + $("#slider-range").slider("values", 1    ));
        $("#amount").val('$' + $("#slider-range").slider("values", 0));      
    });
</script>