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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.
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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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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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Paperback. Zustand: New. Print on Demand. This book delves into the fascinating world of elliptic integrals, a branch of mathematics that expands upon the familiar concepts of calculus. While calculus focuses on integrating expressions involving quadratic functions under a square root, elliptic integrals delve into the more complex realm of cubics and quartics. The author masterfully guides readers through the intricate process of transforming these integrals into standard normal forms, revealing how seemingly complex problems can be reduced to manageable, calculable expressions. The book explores the historical evolution of elliptic integrals, tracing their origins back to the pioneering works of mathematicians like Fagnano, Maclaurin, and dââ â¢Alembert. It highlights the groundbreaking contributions of Euler in discovering the addition theorem for elliptic integrals, a discovery that profoundly shaped the understanding of these functions. The author's deep engagement with the subject is evident in the detailed explanations and the thorough examination of various transformations and substitutions, culminating in a comprehensive discussion of the numerical computation of these integrals. This book is a valuable resource for students and researchers seeking to understand the theoretical foundations and practical applications of elliptic integrals within the broader landscape of mathematical analysis. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333065096_0
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Zustand: New. KlappentextrnrnExcerpt from Elliptic IntegralsIn 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 . Bestandsnummer des Verkäufers 2148017353
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