What the kernel is
Whatever system you are talking about, whether it is a server, workstation, personal computer, router, phone, PDA, etc., it has to have an operating system. These devices have thousands of parts and processes that need to be managed in order to get any use out of them. Without an operating system your computer would be a useless pile of metal, plastic, and circuit boards. It is the job of the operating system is to manage all the resources and communication between devices and systems.
The kernel is the lowest level of the operating system. You may have heard of the Linux kernel before but Microsoft Windows has a kernel as well, as do any operating system. The word kernel "is used to denote the part of the operating system that is mandatory and common to all other software." (http://en.wikipedia.org/wiki/Kernel_%28computer_science%29)