A Treatise on the Analytical Dynamics of Particles and Rigid Bodies PDF Download
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Author: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 416
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Book Description
Author: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 416
Get Book Here
Book Description
Author: E. T. Whittaker
Publisher: Cambridge University Press
ISBN: 1316583414
Category : Science
Languages : en
Pages : 478
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Book Description
This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.
Author: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 480
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Book Description
Author: S R Gupta
Publisher: Hassell Street Press
ISBN: 9781022883994
Category :
Languages : en
Pages : 0
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Book Description
This textbook is an introduction to the principles of analytical dynamics, with a specific focus on particle mechanics. Topics covered include Lagrange's equations, Hamilton's equations, rigid body motion, and central force motion. With clear explanations and plenty of examples, this book is ideal for students and professionals in physics, engineering, and mathematics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Samuel D. Lindenbaum
Publisher: World Scientific
ISBN: 9789810214678
Category : Science
Languages : en
Pages : 318
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Book Description
This book comprises a set of lecture notes on rational mechanics, for part of the graduate physics curriculum, delivered by the late Prof. Shirley L. Quimby during his tenure at Columbia University, New York. The notes contain proofs of basic theorems, derivations of formulae and amplification of observations, as well as the presentation and solution of illustrative problems. Collateral readings from more than 50 source references are indicated at appropriate places in the text.
Author: E. T. Whittaker
Publisher: Cambridge University Press
ISBN: 9780521358835
Category : Mathematics
Languages : en
Pages : 482
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Book Description
This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.
Author: Jerry B. Marion
Publisher: Academic Press
ISBN: 1483272818
Category : Science
Languages : en
Pages : 593
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Book Description
Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.
Author: Edward John Routh
Publisher: Cambridge University Press
ISBN: 110805031X
Category : History
Languages : en
Pages : 433
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Book Description
Edward John Routh (1831-1907) was a highly successful mathematics coach at Cambridge. He also contributed to the foundations of control theory and to the modern treatment of mechanics. Published in 1891, this first part of a revised textbook establishes the principles of dynamics, providing formulae and examples throughout.
Author: Sidney Luxton Loney
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 402
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Book Description
Author: Haim Baruh
Publisher: McGraw-Hill Science, Engineering & Mathematics
ISBN: 9780073659770
Category : Dynamics
Languages : en
Pages : 0
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Book Description
This book presents a fair and balanced description of dynamics problems and formulations. From the classical methods to the newer techniques used in today's complex and multibody environments, this text shows how those approaches complement each other. The text begins by introducing the reader to the basic concepts in mechanics. These concepts are introduced at the particle mechanics level. The text then extends these concepts to systems of particles, rigid bodies (plane motion and 3D), and lightly flexible bodies. The cornerstone variational principles of mechanics are developed and they are applied to particles, rigid bodies, and deformable bodies. The text emphasizes both the derivation of the describing equations and the response. The describing equations are developed using force and moment balances, as well as variational principles. Different approaches of obtaining equations of motion are discussed and compared. The response is analyzed qualitatively and quantitatively.
