A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Classic Reprint): With an Introduction to the Problem of Three Bodies - Softcover
Synopsis
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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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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