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Theory of Differential Equations, Vol. 3 (Classic Reprint): Part II. Ordinary Equations, Not Linear: Part II. Ordinary Equations, Not Linear (Classic Reprint) - Softcover

 
9781334018237: Theory of Differential Equations, Vol. 3 (Classic Reprint): Part II. Ordinary Equations, Not Linear: Part II. Ordinary Equations, Not Linear (Classic Reprint)

Synopsis

This book delves into the theoretical framework surrounding differential equations, particularly those equations that are nonlinear and of the first order. The author employs a systematic approach, exploring concepts from their origin, elucidating their historical evolution, and examining the analytical tools utilized in their study. The book's primary focus is the investigation of the behavior of integrals associated with differential equations in the vicinity of singular points and singularities. The author introduces essential background material, including the existence and uniqueness of integrals and the reduction of systems to canonical forms. The exploration then extends to more complex scenarios involving accidental singularities and essential singularities, providing a comprehensive analysis of the integral behavior in each case. The book concludes with a detailed examination of the reduced forms of systems of equations involving two dependent variables, offering a thorough understanding of the construction and characteristics of these forms.

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9780265423646: Theory of Differential Equations, Vol. 3: Part II. Ordinary Equations, Not Linear (Classic Reprint)

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ISBN 10:  0265423643 ISBN 13:  9780265423646
Publisher: Forgotten Books, 2019
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Andrew Russell Forsyth
Published by Forgotten Books, 2018
ISBN 10: 1334018235 ISBN 13: 9781334018237
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Paperback. Condition: New. Print on Demand. This book delves into the theoretical framework surrounding differential equations, particularly those equations that are nonlinear and of the first order. The author employs a systematic approach, exploring concepts from their origin, elucidating their historical evolution, and examining the analytical tools utilized in their study. The book's primary focus is the investigation of the behavior of integrals associated with differential equations in the vicinity of singular points and singularities. The author introduces essential background material, including the existence and uniqueness of integrals and the reduction of systems to canonical forms. The exploration then extends to more complex scenarios involving accidental singularities and essential singularities, providing a comprehensive analysis of the integral behavior in each case. The book concludes with a detailed examination of the reduced forms of systems of equations involving two dependent variables, offering a thorough understanding of the construction and characteristics of these forms. 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. Seller Inventory # 9781334018237_0

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ISBN 10: 1334018235 ISBN 13: 9781334018237
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