My entire training on vacuum tubes consisted of 3 class periods in college, and I’m not exactly fresh out of school (that was 25 years ago). I don’t know if it is taught at all these days. I do know the basic principles involved though, so I can usually muddle through a book on tube circuits.
A lot of the principles are the same. Transistors can be used kinda like electronically controlled switches, where their output is either on or off, and tubes can be used the same way for control. Transistors can also be used as amplifiers by varying the current and keeping the transistor in a region where it amplifies the signal. You can do the same sort of thing with tubes as well.
Some circuits even have very close equivalents.
For example, here is a push-pull tube amplifier:
http://www.aikenamps.com/PP.gif
And here is a push-pull transistor amplifier:
http://www.tpub.com/content/neets/14180/img/14180_41_2.jpg
Even someone who doesn’t understand circuits should be able to see that they are very similar.
I could read through a book and understand it, but I wouldn’t be all that comfortable just jumping in and designing my own tube circuits. I could probably do it if I had to, but it’s not something that I have any experience at.
Just for giggles, I searched through the first page of google books that had a preview available and looked through them. There were a few basic theory books like the one in the OP, and I had no trouble at all understanding anything I saw in those (I just quickly scanned through them though). In a book about tube circuits for wireless communication I did see an entire chapter on how to tune the plate current in a tube circuit. I could understand it easily enough, but there was a lot of info in it that I had no experience at all with, like some practical information about how to reduce hum in that kind of circuit. They tend to use coils all over the place, where we tend to avoid coils in modern circuits due to cost, size, and manufacturability reasons.
The terminology in some of the books is a bit archaic, but I’ve heard those terms being used before so I could understand it. The math wasn’t foreign at all. It’s the same math and similar principles to what we use in modern circuits. It’s mostly that the implementation is a lot different.