How to login remote?

Hello!

I got a old database running on a Win 2000 (MySQL 5).
Now I would like to connect to that database and do some admin-work from a remote linux-machine.

To my disappointment it seems like there is no Toad-client for MySQL for Linux, right?

Then I think I would like to go for the console-mode.
But I can not find out the correct syntax for the login.

I thought it would be possible to do something like:

mysql root@192.168.1.36/name_of_db

But it just says:

ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/lib/mysql/mysql.sock' (2)

Perhaps I need to install something else as well.
Any ideas is welcome.

Best regards
Fredrik