This is probably the closest Mac has to mapping.
1. Using Finder’s “Go” menu, select “Connect to server” or use the CMD+k hotkeys.
2. In the popup window enter the local address of the share. Example: smb://10.0.1.20/Media/. This can be modified to point to a specific folder, ie smb://10.0.1.20/Media/Movies/Kids/.
3. Click the plus sign next to the server address box to add this location to favorites list and avoid having to re-enter the information each time you connect.
4. Enter user name and password if required. You can save this information to the Mac’s keychain to have it entered automatically in the future.
If you want to have this server mount each time you login to the Mac you can add it to login items.