AbstractMilitary operations can be a complex and cumbersome undertaking, involving millions of soldiers and tonnes of equipment. Even though war has been part of human experience for time immemorial, systematic thinking about how to prepare, conduct, and use military operations is nonetheless a rather new undertaking. This chapter explores the history of thinking about military operations, broadly defined, and narrows down on operations as the concept is used today.After the historical exploration, the chapter investigates how military operations can be studied. In principle, there are four different ways to approach operations as a field of study. The most common methods are the historical method and operations research, i.e., making heuristic models of reality. Game theory and axiomatic foundationalism are the other two but are far less used than the former two.The development of modern military thinking notwithstanding, it is still difficult to convert military power to strategic gains, and the latter part of the chapter explains why. Military commanders and planning groups do not always get the what and why from the political level, making it difficult to find the how. Military operations are also intrinsically difficult because your opponent will try to make it difficult for you. The concept of an operational level of command is also problematic, since it tends to do the opposite of what is intended. Instead of pulling tactics and strategy closer together, it tends to push them apart. And finally, the word “art” in “operational art” is perhaps also an unfortunate misnomer?