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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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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**Book Description **Forgotten Books, 2017. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****. 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. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. Bookseller Inventory # APC9781330308271

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**Book Description **Forgotten Books. Paperback. Book Condition: New. This item is printed on demand. Paperback. 64 pages. Dimensions: 9.0in. x 6.0in. x 0.1in.Excerpt from The Integration of Functions of a Single Variable, Vol. 2The problem considered in the following pages is what is sometimes called the problem of indefinite integration or of finding a function whose differential coefficient is a given function. These descriptions are vague and in some ways misleading; and it is necessary to define our problem more precisely before we proceed further. Let us suppose for the moment that f(x) is a real continuous function of the real variable x. A little reflection shows that this problem may be analysed into a number of parts. We wish, first, to know whether such a function as y necessarily exists, whether the equation (1) has always a solution; whether the solution, if it exists, is unique; and what relations hold between different solutions, if there are more than one. The answers to these questions are contained in that part of the theory of functions of a real variable which deals with definite integrals. About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www. forgottenbooks. comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. This item ships from La Vergne,TN. Paperback. Bookseller Inventory # 9781330308271

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**Book Description **Forgotten Books, 2017. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. Bookseller Inventory # APC9781330308271

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**Book Description **Forgotten Books, 2017. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9781330308271

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**Book Description **Forgotten Books, 2017. Paperback. Book Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. Bookseller Inventory # LIE9781330308271

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