Shouldn't the person the warrant applies to be served and/or notified of the warrant and given a copy? I was under the impression that a warrant was a way to g

Shouldn't the person the warrant applies to be served and/or notified of the warrant and given a copy? I was under the impression that a warrant was a way to give police rights that they do not typically have according to civil rights. It's a civil contract that they will not exceed the rights they are given, so I'd assume he should be given a copy with an explanation of why his rights are being lessened temporarily.