Friday, September 4, 2015

 Double integrals and Jacobis

By Roy Ernest Ballard


1. Lengths, surfaces and volumes
Ordinary words like 'curve' or 'region' have to take on specific meanings if they are to be used mathematically. As a first step, empty space is endowed with imaginary points or locations in space defined by coordinates xi. A curve is a set of points, usually an infinite set, given by some rule. One type of rule is...
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