I'm trying to make it easier for users in a small office network environment to connect to an office server running Windows Server 2003. Currently, users map network drives using \IP_ADDRESS\DRIVE. What do I need to do to map by server name instead of IP address?
You will need some kind of internal DNS service for your network - if you already run Active Directory, you will already have this set up.
If not, you can install the DNS components of Windows Server 2003 (see http://support.microsoft.com/kb/814591) or you may be able to use your existing office router for internal DNS if it's capable.
Once you have DNS installed and configured and your server's address entered, you can then try to ping the target server from the workstation, of the ping succeeds, you can proceed to add the share mapping.