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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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Elliptic Integrals Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781333065096
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Elliptic Integrals Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781333065096
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Elliptic Integrals (Classic Reprint)
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Paperback. Condizione: 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. Codice articolo 9781333065096_0
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ELLIPTIC INTEGRALS (CLASSIC RE
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Condizione: 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 . Codice articolo 2148017353
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