[0]: https://en.wikipedia.org/wiki/Denis_Diderot [1]: https://en.wikipedia.org/wiki/Encyclop%C3%A9die
The first to volumes are very goal purpose driven and so fit will together. The third feels very grab bag and likely should be split up more.
You'll also likely want to cover on schools of thought, the scientific method and whatnot.
An alternate volume 3a might be on mass production of food (enabling greater human capital). Large scale agriculture and the chemistry and botany that enables it. Some amount of animal farming is likely required.
3b could cover the communication and transportation networks necessary to distribute that food. Both the engineering, infrastructure and tech behind it.
At some point you can shift to covering, manufacturing and mass production - which enables all the small products needed for so many fields. The handles, washers, lenses,...
Then final shift to digital and everything that rolls out from there.
How to Invent Everything: A Survival Guide for the Stranded Time Traveller
I believe OP is trying to actually write the book that one is supposed to be.
Survival is sourcing primarily from stuff like the Boy Scout Handbook, the SAS Survival Guide, a few other online resources and a farmsteading book from the 60s-70s that I can't recall right now. That will be the v0.1 draft, and I'd like to practice some of the techniques as well to provide hands-on feedback on what's easier or harder.
Volume 2 is a vague outline, and probably needs to be combined with vol 3 and fleshed out before splitting in two (or more) pieces to research and write.
Step one is survival, basics of hunting, first aid and farming sort of stuff. That volume would end around homesteading and self-sufficient living.
Volume two would be establishing society in larger groups than a family unit. Things like job specialization (N roles for N people instead of 1/N of each role for each person), establishing trade (currency, weights & measures, supply chain), government (mostly what not to do, what to protect, how to adjudicate disagreement), public works ("roads are a good idea") and their ilk. Also medicine beyond first aid and basic care.
Volume three would be advanced STEM topics, getting from a functioning society to... more. Not even the sky's the limit. It should include blueprints for things we take for granted like refrigeration, telecommunication and birth control. It will include all the basics of physics, chemistry and biology required for smart people to fill in the gaps and launch a human to the moon and back.
I want to super-nerd-out about this, and publish it on Tyvek or something exotic so it'll last through decades of wear and tear (and water-logging and more), and include a ruler on the spine and it's own weight documented for reference.