A Treatise on the Analytical Dynamics of Particles and Rigid Bodies PDF Download

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: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 416

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Author: E T Whittaker
Publisher: Literary Licensing, LLC
ISBN: 9781498137331
Category :
Languages : en
Pages : 446

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This Is A New Release Of The Original 1917 Edition.

Author: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 480

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Author: Whittaker E. T.
Publisher:
ISBN: 9780243845385
Category :
Languages : en
Pages :

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Author: Edward John Routh
Publisher: Cambridge University Press
ISBN: 110805031X
Category : History
Languages : en
Pages : 433

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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: 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.

Author: Whittaker E T (Edmund Taylor)
Publisher: Legare Street Press
ISBN: 9781019369548
Category :
Languages : en
Pages : 0

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Book Description
Whittaker's groundbreaking treatise on particle and rigid body dynamics is a must-read for physicists and mathematicians. It offers clear explanations of complex concepts, with helpful diagrams and examples throughout. 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: Antonio Fasano
Publisher: Oxford University Press on Demand
ISBN: 0198508026
Category : Mathematics
Languages : en
Pages : 788

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Book Description
Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems.

Author: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 0

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Book Description