I've found that the US Army publishes an amazing detailed manual, “Infantry Platoon and Squad Manual” ATP 3-21.8, that they (!) make freely available for download. It's more of a how-to handbook, or a set of instructions - not exactly what I'm looking for.
There are many books on military history available, with titles like WWII / Vietnam /Civil War / Ancient Roman / Infantry Tactics, but they seem to be a lot of history and cataloguing of events and weapons, without as much big-picture philosophy.
It seems there should be a textbook that covers fundamentals that apply largely across time, with an explanatory philosopy that covers general principles, but I haven't found it yet. (Maybe something like "Infantry Tactics for Physicists," that begins with the line, "Assume a spherical soldier.")
Any recommendations?
It all boils down to "fire and manuever."
Create an element which "fixes" the enemy with suppresive fire, while the other element moves. Switch places, leapfrogging until you kill the enemy. Works from platoon to two man buddy team.
Source: former infantry officer.
Such a thing doesn't exist since the steady march of technological progress has radically changed how warfare is conducted and that radical change is still underway. Obvious examples like the transition from muzzleloaders->repeating arms->automatic weapons->"smart" weapons abound as do less obvious ones like the canning of food and the jerry can affecting how units can be kept supplied in the field and move around in a tactical sense.
If you want something like a layperson's overview of modern infantry tactics, I would suggest trying the articles at http://armchairgeneral.com/category/tactics101 starting at the #101 post which begins a multi-part series on mechanized infantry and what it does.
But these are very general strategy books, not tactics, and the reason for that is tactics are always evolving and must be adapted differently depending on the situation, the technology, the threat model. This is probably the most important takeaway: you must always be adapting and learning and changing your tactics in response to new information and events. In addition to understanding risk (not in an academically fragile mathematical sense), this is probably one of the most important fundamentals to understand.
I think war is ultimately just too simple to bother theorizing much about, not to mention a waste of time. It's not easy, of course, but it's simple to understand. It's in our bones. It's a part of primate nature. The only things that change are the technology and the scale, which inform the tactics.
Here's something closer to a more tactical fundamental, something that hasn't changed since Roman times:
Here are modern soldiers erecting fortifications to help hold a location of interest: https://mwi.usma.edu/effective-weapon-modern-battlefield-con.... From the HESCO barriers of today to the wooden palisades of two-thousand years ago, they accomplish the same fundamental goal. Protect a location of interest, keep your supply lines safe, etc.
Infantry-wise, like meetingthrower said, you "fire and manuever". There are nearby enemy soldiers attempting to harm our supply lines or pierce through our fortification to the location of interest? Go "fire and manuever" on them. That's the fundamental. Whether you do it with spears or rifles is another matter. It's not rocket science - the desired outcome is the same. How exactly you do it changes according to the technology, the threat, geographic features, and environmental factors.
[0] https://www.benning.army.mil/infantry/199th/ocs/content/pdf/...
Art of War, by General Sun Tzu
Some aspects of the human experience can be understood through fiction better than the facts, take a look at this book
https://www.goodreads.com/book/show/198289.Fields_of_Fire
If you want to know what Putin faces in Ukraine study
https://en.wikipedia.org/wiki/Urban_warfare
because that is where the hard fighting happens. Those big block apartment buildings the Warsaw Pact built are the ultimate defense against Blitzkrieg, drive a tank past one and the people will
drop a piano on you
drop a Molotov cocktail on top of the piano
try to shoot out your periscope with a sniper rifle
hit you with an RPG-7
and then another one...
there is not a whole lot you can do from that tank because you can't point the main gun at the 4th story window and it is "not very effective" against a concrete/rebar building as they say in a Pokémon game.To pacify that area you have the option of destroying the buildings with rocket artillery or going room to room in house to house in the meantime with infantry facing booby traps
https://en.wikipedia.org/wiki/M18_Claymore_mine
and other deadly threats... that rocket artillery is looking pretty good in comparison. See
https://en.wikipedia.org/wiki/Battle_of_Fallujah
Also read up on
https://en.wikipedia.org/wiki/First_Chechen_War
and