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Applied Mathematical Methods by Bhaskar Dasgupta

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Chapter 28

1 Words ‘up’ and ‘down’ are used here in the sense of unknown and familiar, as in ‘downtown’, not to mean that the domain of a problem is necessarily going to be wider than [−1, 1].

2 Notice how it takes care of a singularity, if it happens to be integrable.

3 It is the same problem, in essence, as the one appearing in the exercises of the previous chapter.

4 The generic term ‘volume’ is used here to keep the discussion independent of the dimension of the problem. In a double integral it will be area, an ordinary volume in a triple integral and so on.

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