Inhaltsangabe
Excerpt from Elliptic Integrals
In the elementary calculus are found methods of integrating any rational expression involving under a square root Sign a quadratic in one variable; in the present work, which may be regarded as a somewhat more advanced calculus, we have to integrate Similar expressions where cubics and quartics in one variable occur under the root Sign. -whatever be the nature of these cubics and quartics, it will be seen that the integrals may be transformed into standard normal forms. Tables are given Of these normal forms, so that the integral in question may be calculated to any degree Of exactness re quired.
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Excerpt from Elliptic Integrals
In the elementary calculus are found methods of integrating any rational expression involving under a square root Sign a quadratic in one variable; in the present work, which may be regarded as a somewhat more advanced calculus, we have to integrate Similar expressions where cubics and quartics in one variable occur under the root Sign. -whatever be the nature of these cubics and quartics, it will be seen that the integrals may be transformed into standard normal forms. Tables are given Of these normal forms, so that the integral in question may be calculated to any degree Of exactness re quired.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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.
Reseña del editor
Excerpt from Elliptic Integrals
The editors of the present series of mathematical mono graphs have requested me to write a work on elliptic integrals which shall relate almost entirely to the three well-known elliptic integrals, with tables and examples showing practical applications, and which shall fill about one hundred octavo pages. In complying with their request, I shall limit the monograph to what is known as the Legendre - Jacobi theory; and to keep the work within the desired number of pages I must confine the discussion almost entirely to what is known as the elliptic integrals of the first and second kinds.
In the elementary calculus are found methods of integrating any rational expression involving under a square root Sign a quadratic in one variable; in the present work, which may be regarded as a somewhat more advanced calculus, we have to integrate similar expressions where cubics and quartics in one variable occur under the root Sign. Whatever be the nature of these cubics and quartics, it will be seen that the integrals may be transformed into standard normal forms. Tables are given Of these normal forms, so that the integral in question may be calculated to any degree of exactness re quired.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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