Anarchism is very misunderstood, and indeed quite a complicated concept which most people have difficulty accepting. Libertarianism is in my opinion a form of anarchism, purely because it is about limiting the power of government.

You see Anarchism is about getting rid of government as much as possible, but like any other political ideal just where you draw that line means you get to call yourself something different. Anarcho-syndicalism is about cooperative decision making and control. But then, at least in theory, so is representative democracy.

Some Anarchists embrace total individualism, some embrace different forms of community decision making, some just rail against real or imagined injustices and demand an end to "the system"

Some "left wing" Anarchists take an even greater emphasis on property than classic Libertarians, especially Anarch-environmentalists who demand that corporations pay true costs for use of common resources and enviromental damage.

Outside of political philosophy books if you are interested in anarchism try reading
distress by Greg Egan
or
the moon is a harsh mistress by robert heinlein

Agree with them or not they both provide interesting thought experiments on what an anarchic system might look like