0rthodontist
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Does change of variables generalize to situations other than integration?
That's really what mathematics is all about! Coordinate systems give us a way of simplifying complicated situations but a "real world problem" doesn't have a coordinate system attached- the particular coordinate system used is our decision. One of the most fundamental concepts in mathematics is changing from one coordinate system to the other- changing from one way of looking at a problem to another. That's what really happens in changing variables- we are changing from one coordinate system to another.0rthodontist said:Does change of variables generalize to situations other than integration?