Why Differentiability in Higher Dimensions is defined as it is?

Source: http://www.math.caltech.edu/~dinakar/08-Ma1cAnalytical-Notes-chap.2.pdf

Screen Shot 2016-07-05 at 4.25.10 PM

The above paragraph describes nicely the intuitive meaning of the idea behind the definition of differentiability in higher dimensions! It is a very neat idea.

Author: mathtuition88


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