Theory of Differential Equations, Vol. 1: Exact Equations and Pfaff's Problem (Classic Reprint) - Hardcover

Andrew Russell Forsyth

9780260250841: Theory of Differential Equations, Vol. 1: Exact Equations and Pfaff's Problem (Classic Reprint)

Hardcover

ISBN 10: 0260250848 ISBN 13: 9780260250841

Publisher: Forgotten Books, 2018

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This book delves into the intricate world of differential equations, specifically exploring the fascinating concept of exact equations. The author guides the reader through a comprehensive journey, examining the conditions necessary for an equation to be considered "exact," and presenting methods for solving these equations. The book goes beyond a mere mathematical treatment, offering a rich historical context for the subject. The author traces the development of ideas from prominent figures like Euler and Monge, highlighting how the concept of exactness evolved over time. The author explores diverse approaches to the integration of exact equations, meticulously examining methods developed by mathematicians such as Bertrand, Natani, and du Bois-Reymond. The book delves into the theoretical underpinnings of these techniques, illustrating their application through carefully chosen examples. This book is a valuable resource for anyone seeking a deep understanding of exact equations, their historical evolution, and the practical techniques for their integration. ...

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