Excerpt from A Treatise on Ordinary and Partial Differential Equations
The treatment of the subject of Differential Equations here presented will, it is hoped, be found complete in all those portions which bear upon their practical applications, and in the discussion of their theory so far as it can be adequately treated without the use of the complex variable. The topics included and the order pursued are sufficiently indicated by the table of contents.
An amount of space somewhat greater than usual has been devoted to the geometrical illustrations which arise when the variables are regarded as the rectangular coordinates of a point. This has been done in the belief that the conceptions peculiar to the subject are more readily grasped when embodied in their geometric representations. In this connection the sub ject of singular solutions of ordinary differential equations and the conception of the characteristic in partial differential equa tions may be particularly mentioned.
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Paperback. Condition: New. Print on Demand. This book provides a comprehensive examination of differential equations, with a focus on practical applications and the development of symbolic methods. It covers both the theoretical foundations and the techniques used to solve differential equations, making it suitable for students and researchers alike. The author presents a clear and accessible introduction to the subject, beginning with the basic concepts and gradually progressing to more advanced topics. Through solved problems and examples, the book demonstrates how differential equations are used in various fields, including engineering, physics, and biology. With its emphasis on symbolic methods, the book offers a valuable resource for those seeking to understand and apply differential equations effectively. By exploring the historical development of the subject and delving into its theoretical underpinnings, the book provides a deeper understanding of the role differential equations play in shaping our world. 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 # 9781440047992_0
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