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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an Introduction to the Problem of Three Bodies (Classic Reprint) - Softcover
Synopsis
Excerpt from A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an Introduction to the Problem of Three Bodies
In revising this book for a second edition, I have endeavoured to give references to, and in some cases accounts of, the numerous original researches in Dynamics which have been published by various investigators since the first edition appeared. I have moreover added some historical matter, and rewritten many sections. It is not necessary to specify these in detail, but perhaps I may mention that the new explanation of the transformation-theory of Dynamics in 125 sprang from a desire to do justice to the earliest great work of Hamilton's genius: that the changes in 69 (the motion of a body about a fixed point under no forces) arose from my opinion that the Jacobian functions are preferable to the Weierstrassian in the numerical computations: and that I should have liked to give a fuller proof of Sundman's theorem (181), but thought it better to give only such an account as might impel the reader to consult Mr Sundman's own accessible and readable memoir.
I wish again to record my obligations to the staff of the Cambridge University Press.
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About the Author
Whittaker, Professor of Mathematics in the University of Edinburgh.
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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
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Paperback. Condition: New. Print on Demand. This book delves into the intricate world of analytical dynamics, exploring the motion of particles and rigid bodies through rigorous mathematical analysis. The author lays a solid foundation by first establishing key kinematical principles, paving the way for a deeper understanding of the forces governing motion. Delving into both theoretical concepts and practical applications, the book covers a wide range of topics, including Lagrange's equations, principles of least action, and Hamiltonian systems. Readers will encounter classic problems in particle and rigid body dynamics, gaining valuable insights into the behavior of physical systems. This work stands as a testament to the power of mathematical analysis in unraveling the complexities of motion. By bridging the gap between abstract theory and concrete examples, the author illuminates the fundamental laws that govern the physical world, leaving readers with a profound appreciation for the elegance and beauty of analytical dynamics. 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 # 9781440089473_0
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TREATISE ON THE ANALYTICAL DYN
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Condition: New. KlappentextrnrnExcerpt from A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an Introduction to the Problem of Three BodiesI wish again to record my obligations to the staff of the Cambridge University Press. Seller Inventory # 2148538404
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