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Thematics, and Mathematical Physics of a Single Variable G. Leathem (Classic Reprint)
by:G. H. Hardy
Indefinite Integration given in text-books on the Integral Calculus. The student who is only familiar with the latter is apt to be under the impression that the process of integration is essentially tentative in character, and that its performance depends on a large number of disconnected though ingenious devices. My object has been to do what I can to...
Indefinite Integration given in text-books on the Integral Calculus. The student who is only familiar with the latter is apt to be under the impression that the process of integration is essentially tentative in character, and that its performance depends on a large number of disconnected though ingenious devices. My object has been to do what I can to show that this impression is mistaken, by showing that the solution of any elementary problem of integration may be sought in a perfectly definite and systematic way. The reader who is familiar with the theory of algebraical functions and algebraical plane curves will no doubt find the treatment inS ection 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 theM athematical 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.(Typographical errors above are due to OCR software and don't occur in the book.)About the Publisher Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful
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