Let r be the ring of all continuous function from [o,1] into the real field. show that m = { f | f(0)= 0 } is maximal ideal of r. but m is not maximal ideal if

Let R be the ring of all continuous function from [O,1] into the real field. Show that M = { f | f(0)= 0 } is maximal ideal of R. But M is not maximal ideal if real field is replaced by Integers