//////////////////////////////
//         front.js        ///
////////////////////////////////
function contactForm() {
    $("#contact-form").submit(function () {

	var url = "contact.php"; // the script where you handle the form input.

	$.ajax({
	    type: "POST",
	    url: url,
	    data: $(this).serialize(), // serializes the form's elements.
	    success: function (data)
	    {
		var messageAlert = 'alert-' + data.type;
		var messageText = data;
		var alertBox = '<div class="alert ' + messageAlert + ' alert-dismissable animated bounceIn"><button type="button" class="close" data-dismiss="alert" aria-hidden="true">&times;</button>' + messageText + '</div>';
		if (messageAlert!=0 && messageText!=0) {
		    $('#contact-form').find('.messages').html(alertBox);
		}
	    }
	});
	return false; // avoid to execute the actual submit of the form.
    });
}

////////////////////////////////
//       contact.php         ///
////////////////////////////////
<?php

/**
 * configure here
 */
$from = $_POST['email'];
$to = 'Szymon_Piszczatowski  <piszczatowskiszymon@gmail.com>';
$subject = 'Nowa wiadomość z portfolio';
$fields = array('name' => 'Imie', 'surname' => 'Nazwisko', 'phone' => 'Telefon', 'email' => 'Email', 'message' => 'Wiadomość');
$htmlHeader = '';
$htmlFooter = '';
$okMessage = 'Contact form succesfully submitted. Thank you, I will get back to you soon!';
$htmlContent = '<h1>New message from contact form</h1>';


/* DO NOT EDIT BELOW */

/* use classes */



    $htmlContent .= '<table>';
    foreach ($_POST as $key => $value) {

	if (isset($fields[$key])) {
	    $htmlContent .= "<tr><th>$fields[$key]</th><td>$value</td></tr>";
	}
    }
    $htmlContent .= '</table>';

    /* compose html body */

    $htmlBody = $htmlHeader . $htmlContent . $htmlFooter;

$headers[] = 'MIME-Version: 1.0';
$headers[] = 'Content-type: text/html; charset=iso-8859-1';
$headers[] = 'To: Szymon Piszczatowski <piszczatowskiszymon@gmail.com>';
$headers[] = 'From: piszczatowskiszymon.pl <piszczatowskiszymon@gmail.com>';

if(mail($to, $subject, $htmlBody, implode("\r\n", $headers))){
echo( $okMessage);
}else {
header($_SERVER['SERVER_PROTOCOL'] . ' 401 Unauthorized', true, 401);
die('401 Unauthorized');
}