Hmm...i'd say its mixed ways! If i really start to like a period of time in Civ, then I tend to read a lot more about it IRL! Now, as you probably know, I love Infantry in Civ and it was spurned my the book that i'm reading 1914 1918: A History of the First World War. I was amazed at how Civ changes the way wars get fought through the eras.
(You can always do the normal run around and smash things etc but the most effective ways of war change depending on the units & the age.
e.g. Ancient Age really favours the slightest bit of organisation, but it is literally a biggest stick theory. Combined with killing of innocent people (workers and ravaging the landscape).
Middle Ages I find to be the most leader dependant, knights & cavalry really are amazing, and often the best tactics involve fast moving troops that have the ability to meet enemy forces and fight battles not based on cities. The cities fall usually when there are fewer troops to defend the areas around them.
Industrial Ages are split. The invention of Infantry (and i presume trench warfare by the 6/10 stats), really puts them emphasis on slow but steady wars of attrition. The computer will tend to send troops against your large stacks without artillery bombardment, which you could do also, but infantry is and was 10000x more effective by intensive artillery bombardment. Cavalry effectively become quite isolated and useless. Until tanks allow a lot stronger offensive power with bombers acting as their arty!
Its so interesting

and really clever how the scripting works that into the gameplay!