How is asymptotic analysis (big o, little o, big theta, big theta etc.) defined for functions with multiple variables?
I know that the Wikipedia article has a section on it, but it uses a lot of mathematical notation which I am unfamiliar with it. I also found the following paper: http://people.cis.ksu.edu/~rhowell/asymptotic.pdf However the paper is very long and provides a complete analysis of asymptotic analysis rather than just giving a definition. Again the frequent usage of mathematical notation made it very hard to understand.
Could someone provide a definition of asymptotic analysis without the complex mathematical notation?