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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Classic Reprint): With an Introduction to the Problem of Three Bodies - Tapa blanda
Sinopsis
Mastering the laws that govern motion across particles and rigid bodies. This authoritative work covers the full landscape of analytical dynamics, from fundamental principles to advanced methods, with a clear path toward solving complex problems like the three-body system.
The book presents a rigorous framework for dynamics, including the equations of motion, energy and momentum concepts, and the powerful tools of Lagrangian and Hamiltonian formalisms. It explores how motion can be reduced, transformed, and analyzed through variational principles, integrals of motion, and transformation theory. With detailed treatments of rigid dynamics and vibrational analysis, it guides readers from basic ideas to sophisticated applications in physics, engineering, and applied mathematics.
- Foundations of motion: holonomic and non-holonomic systems, constraints, and the role of energy and potential functions.
- Advanced methods: Lagrange and Hamilton formalisms, canonical transformations, and integral invariants.
- Special topics: dynamics of rigid bodies, moments of inertia, Euler angles, Poisson brackets, and transformation theory.
- Problem-solving strategies: reduction of complex problems, such as the three-body problem, and analysis of vibrational systems.
Ideal for readers who seek a deep, mathematically grounded treatment of dynamics, from graduate students to researchers in physics and applied mathematics, as well as engineers needing a solid theoretical backbone.
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Reseña del editor
Excerpt from A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an Introduction to the Problem of Three Bodies
I wish again to record my obligations to the staff of the Cambridge University Press.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
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 sgenius: that the changes in 69 (the motion of a body about a rixed point under no forces) arose from my opinion that the Jacobian functions are preferable to theW eierstrassian in the numerical computations :and that I should have liked to give a fuller proof of Sundman stheorem (181), but thought it better to give only such an account as might impel the reader to consult Mr Sundman sown accessible and readable memoir. I wish again to record my obligations to the staff of the Cambridge University Press. E. T. WHITTAKER. EDINBURGH, A ugust, 1916.
(Typographical errors above are due to OCR software and don't occur in the book.)
About the Publisher
Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org
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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
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Paperback. Condición: 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. Nº de ref. del artículo: 9781440089473_0
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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)
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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)
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Condición: 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. Nº de ref. del artículo: 2148538404
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