A copyright statement is not strictly required (copyright is automatic)1, but if you are publishing source then likely including it will be felt to be safer2. The full licence statement would probably be better in a separate file and then referenced (this is what Boost http://www.boost.org/users/license.html#FAQ does).
1Wikipedia http://en.wikipedia.org/wiki/Copyright has a reasonable summary, but you really need to take your own legal advice.