OK, now, everybody, don't jump all over me!
I'm just trying to give the SIMPLEST description I can without all of the metallurgical flu-flu.
OK?
Firstly, for the incredibly large part, all steel is "carbon steel"!
Even stainless.
Let's put it this way, iron plus carbon equals steel! That's the bare bones formula.
Now, beyond that, different alloys in varying amounts are added to that formula to give that particular "steel" distinct qualities specific to its demands.
One of the main differences in the stainless category of steels is the addition of chromium in LARGE amounts which give that steel resistance to stains, oxidation, etc. This is in additionon to OTHER varying amounts of different alloys.
Even the simpler "carbon" steels have chromium for hardening characteristics, but in much lesser amounts.
With all of the additional alloys added to some of the "stainless" steels, their hardening characterisitcs become much more complicated, and these steels are more prone to being used in the knife world by means of the stock removal method, which basically means to take a flat bar of stainless steel stock and cut away everything that doesn't look like a knife!
The simpler steels - non-stainless - can be heated in a forge with much less concern about alloy content, heat 'em up, beat 'em around, bang 'em around and shape them into what looks something like a knife.
The heat treating methods of the simpler steels are just that - simpler! Can be done right in your garage with simple tools.
Now, after that, the fun begins!
Kind of like the difference between a fellow who just got his driver's license, and an Indy driver! Both of 'em can drive, but one does it at a much higher level. I'm not talking about the difference in the steels, but rather what one fellow can do with them as compared to the next fellow.
Hope this helps.