Lessons I Wish I Had Learned Before Teaching Differential Equations (1997) [pdf]

Re:Lessons I Wish I Had Learned Before Teaching Differential... by srean on Tuesday September 05, 2017 @07:34AM (#15174153)

Finding the closed form of the integral of a closed form, yes then what you say is true (this is different from 'analytic' which in mathematics has a different meaning). Scope of the concept of even baby integration of a function is much much larger, and OP is talking about that.

Note the key word there is a function not a function with a closed form that's a tiny subset.

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Re:Lessons I Wish I Had Learned Before Teaching Differential... by gaurav_v on Wednesday September 06, 2017 @08:09AM (#15182967)

"Scope of the concept of even baby integration of a function is much much larger, and OP is talking about that."

The OP said the opposite, that differentiation is harder 'more finicky.' I agree that the concept of integration is much richer.

Also, I didn't mean 'closed form solution' when I said 'analytic.' I also didn't mean 'analytic functions.' I meant that the analytic machinery you have to develop in order to have a theory of integration is far richer than for differentiation - i.e, proving the multivariate change of variable theorem.

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Re:Lessons I Wish I Had Learned Before Teaching Differential... by srean on Wednesday September 06, 2017 @08:40AM (#15183115)

Thanks for clarifying what you meant by 'analytic'.

To me, 'harder, more finicky' means exactly that it is of a more constrained scope, so I don't think I interpreted OP wrong.

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