Specifically for people who have no background in military strategy, what are some good foundations for understanding the fundamentals and examples of military tactics?
The anthology Makers of Modern Strategy from Machiavelli to the Nuclear Age edited by Peter Paret is an old (1986) standby. The 1996 anthology The Making of Strategy: Rulers, States, and War edited by Williamson Murray is also a good one to examine. Both books are collections of essays written by specialists in military history.
Two of my favorite books are How to Lose a Battle and it's twin, How to Lose a War. Both are written by Bill Fawcett and feature numerous accounts of military blunders, both tactically and strategically. I find both very easy to read while also being informative and would definitely recommend them for someone trying to start studying the subject.
On War by Clausewitz is probably the most influential modern work on the subject.
You can read The Art of War, too, but it's more of an outline these days.
"Strategy" by Hart has always occupied a lot of shelves. "The Art of War" deserves to always be referenced because it is always relied upon as a basic framework of common sense and big picture themes.
I'd personally recommend reading more specific works that refer to eras in order to see the evolution.
I have been recommended Theodore Dodge's whole "great captain" series. He was a military historian and a Union officer in the American Civil. His books cover from Alexander the Great to Napoleon.
The Evolution of Strategy by Heuser is reasonably thorough and accessible.
Strategy and tactics are two separate fields which collaborate together. What kind of "section" are we talking about? There are many pieces to the cake. For example, weaponry or engineering in itself is a huge portion to strategy.
As an introduction, I liked The Patterns of War Since the Eighteenth Century by Larry Addington (2nd edition, 1994). He divides the time since 1775 in 7 periods. For each period he gives some general remarks on changes in armies, navies, and (later) air forces before describing the events of the most important wars for each period.
(Don't buy the companion volume The Patterns of War Through the Eighteenth Century, it tries to cover too much ground and in my opinion doesn't bring the insights the other book does.)