Could someone please explain

*the saddle point method*i.e.

*the method of deepest descends*to me in layman's terms?

**All I need is a rough idea of what it is**. I've tried to read explanation from various sources but perhaps I have a hard time following the examples due to their mathematical complexity.

If you could also tell me what the saddle point method has to do with asymptotic expansions, again as simply and roughly as possible, I'd be grateful.

Thanks in advance.