If you're a total noob, my answer may be a good place to start. I've just learned how these work, and feel I'm in a good place to relay back.
Generally, both of these are means of avoiding bad things that happen when you read something that's halfway written.
Mutex
A mutex is like the key to a bathroom at a small business. Only one person ever has the key, so if some other person comes along they'll likely have to wait. Here's the rubs:
- If someone walks off with the key, then the waiting person never stops waiting.
- Nothing can stop some other process from making its own door to the bathroom.
In the context of code, a mutex is mostly the key part, and the person is a process.
Atomic
Atomic means something that can't be split into smaller steps. In the natural world there is no CPU clock -- so everything we do could be smaller steps -- but let's pretend...
When you're typing on your keyboard, every key you hit is an atomic action. It happens all at once, and you can not hit two keys at exactly the same time. Here's what's good about this:
- No waiting: the fact that no two keys are being hit at the same time is not because one has to wait. It's because one is always done by the time the next gets there.
- No collision: no matter how much you hammer away, you'll never get two characters overlaid. One always happens before the other, completely.
For a counter example, if you were trying to type two words at the same time, that would be not atomic. The letters would mix up.
In the context of code, hitting keys is the same as running a single CPU command. It doesn't matter what other commands are in queue, the one your are doing will finish in its entirety before the next happens.
If you can do something atomically, then you don't have to worry about collision. But not everything is feasible within these bounds. Generally, atomics are for really low level operations -- like getting and setting an primitive (int, boolean, etc). For anything that's going to run a bunch of CPU commands but wants to be atomic, there's a couple tricks:
- Use a mutex. Kind of cheating, not really atomic. But some things do this and call themselves atomic.
- Carefully writing code such that it never requires more than one concurrent instruction on a piece of data in a row to remain correct. This one gets a bit deeper, but sometimes it can be done.
From here there's tons of reading to get into the nitty gritty details, but this should be enough to give you a foundation understanding of the subject.