The Integration of Functions of a Single Variable, Vol. 2 (Classic Reprint) - Hardcover

G. H. Hardy

9780260190727: The Integration of Functions of a Single Variable, Vol. 2 (Classic Reprint)

Hardcover

ISBN 10: 0260190721 ISBN 13: 9780260190727

Publisher: Forgotten Books, 2018

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Excerpt from The Integration of Functions of a Single Variable, Vol. 2

The reader who is familiar with the theory of algebraical functions and algebraical plane curves will no doubt find the treatment in Section V. Of the integrals of algebraical functions sketchy and inadequate. I hope, however, that he will bear in mind the great difficulty of presenting even an outline of the elements of so vast a subject in a short space and without presupposing a wider range of mathematical knowledge than I am at liberty to assume.

I have naturally not said much about particular devices which are only useful in special cases, but I have tried to show, where it is possible, how such devices find their place in the general theory. And I would strongly recommend any reader who is not already familiar with the general processes here explained to work through a number of examples (those for instance which have been set in the Mathe matical Tripos in recent years) using in each case both the general method and any special method which he may find better adapted to the particular case.

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