Synopsis
This book examines three different types of linear differential equations that arise in the study of vibrating systems and other physical phenomena. The author presents a general theory for integrating these equations in closed form, using only algebraic functions and exponentials or logarithms. This is a significant advance over previous methods, which often required numerical approximations or were limited to special cases. The author's approach is based on the theory of entire series, and it provides a unified framework for understanding and solving a wide range of differential equations. The book concludes with a detailed application of the theory to the integration of a specific differential equation that arises in the study of the vibrations of a beam. This example illustrates the power and versatility of the author's method and shows how it can be used to solve practical problems in mechanics and other fields.
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Journal de Mathà matiques, Pures Et Appliquà es, Vol. 6: Annà e 1880
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book examines three different types of linear differential equations that arise in the study of vibrating systems and other physical phenomena. The author presents a general theory for integrating these equations in closed form, using only algebraic functions and exponentials or logarithms. This is a significant advance over previous methods, which often required numerical approximations or were limited to special cases. The author's approach is based on the theory of entire series, and it provides a unified framework for understanding and solving a wide range of differential equations. The book concludes with a detailed application of the theory to the integration of a specific differential equation that arises in the study of the vibrations of a beam. This example illustrates the power and versatility of the author's method and shows how it can be used to solve practical problems in mechanics and other fields. 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 # 9780259411222_0
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Journal de Mathmatiques, Pures Et Appliques, Vol 6 Anne 1880 Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780259411222
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Journal de Mathmatiques, Pures Et Appliques, Vol 6 Anne 1880 Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780259411222
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