nuclear warheads tent to point at cities and other missile bases, i figure the rural areas will mostly be unaffected by anything, maybe a little fallout. plenty of small towns and and agricultural areas will remain to keep essential knowledge going. you dont really need to worry about the stuff thats well documented. for example there have been people who could produce diy semiconductors. its the closed proprietary technologies that will be lost. any tech that is documented from theory to production will probibly survive without being need to be made from scratch.
there will be a lot of book burning, not to destroy knowledge but to make fire for heat/cooking. there will be some desire to save books deemed essential for immediate survival, stuff on agriculture, trades manuals, **** like that. i very much doubt a manual on c++ will last very long. for that preservation of knowledge to be ongoing, literacy must be maintained, because when its not you get indiscriminate book burning.
there will also be a number of working computers left lying around. a computer really isnt essential to survival, so they might be salvaged for parts or just used for their raw materials. like making arrow points out of bits of case metal, or hammering the sheet metal flat with a rock to make building material. the surface mount technology is a ***** when it comes to component level work, so most of the boards will probibly be thrown into rubbish heaps. if computers do manage to survive it will be unlikely that they will be used for anything due to lack of power. of course you can fuel a genny with wood, or build a wind turbine with junk, so its possible to have a few places where the technology will be preserved.
engine technology will survive for a couple reasons. the first being that they can be found everywhere. they will be extremely useful for survival as they can do work humans can not and allow for a degree of industrialization. all be it limited by the ability to find fuel (though wood gasifiers are easy to build). what ultimately determines if a technology is preserved or not is ultimately its usefulness for survival.