I don’t own that book, so I can’t tell you anything about it.
Folks commonly make bowls using the sinking process, which is forming technique that stretches the sheet metal. Essentially pounding sheet metal into a depression, usually in a wooden stump and then refining the shape with a leather mallet and a mushroom stake (called bouging). Sinking a bowl is a comparatively easy technique to master.
To make a cup form you’ll need to do what’s called raising. That’s way more difficult and complicated to describe with written words. A basic explanation is that raising is a hammering technique where the sheet metal is both constricted and stretched with a cross peen raising hammer and a raising tee-stake.
There’s a bunch of YouTube videos on raising out there. That might be helpful
You asked what the stakes look like. This is a miniature raising stake by Fretz tools. That’s not going to be much help, but it shows the shape.
Metal forming stakes are harder to find these days. Metal forming stakes almost exclusively used to be made by a company called Dixon. I’m pretty sure that Dixon went out of business. For sure, they don’t make stakes anymore. You can maybe still find used Dixon stakes on eBay.
Here is a standard raising hammer.
I checked the forum for other threads about raising. Maybe this will be of some help.
https://orchid.ganoksin.com/search?q=raising
I wish that I had some easy answers for you. I’ve done a lot of raising in the past. Finding a good in-person mentor will be there most efficient way to learn this technique. This is a common weekend workshop topic. Part of what makes raising be difficult to learn is that metal sort of likes to stretch, but it doesn’t like to constrict in on itself. You have to do both at once with raising. Which can be a struggle.
Maybe others will have better advice. Best of luck!
Jeff