Debian is a GNU/Linux distribution. The name comes from the founder of the project, Ian Murdock, and his wife, Debra. Hence "Deb" and "Ian".
If you use DebianLinux, you tend to love DebianLinux. Why?
There are some reasons not to like DebianLinux, the most obvious of which is that packages have to be uploaded into the repository before you can get them. You can always install things from source, or use other peoples' experimental .deb sources just by changing your AptSourcesList. See NewZealandLinuxMirrors for places in NewZealand to get Debs/ISOs.
The DebianLinux PackageManagement format is Deb. See DebianPackaging on how to create these, or DebianPackageTools for how to use dpkg(8)/APT/other programs that install .deb packages.
debian.org have an online FAQ; we have a local DebianFaq? as well as some handy DebianNotes.
Read about the different FlavoursOfDebian.
For people who want to install DebianLinux but are scared off by stories about its installer, there's The Very Verbose Debian 3.0 Installation Walkthrough.
See also:
-- Comment --
Respect Debian team please! They never named it "DebianLinux", it's just "Debian", "Debian GNU/Linux" is the first type of Debian, the next will be "Debian GNU/Hurd". Linux itself is 16MB when Debian (sarge) is > 16 full sized CDs!! Linux is good, I use linux networking intensively but I want to credit GNU for its ideology.
Part of CategoryDistribution and CategoryDebian
38 pages link to DebianLinux: