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Author: Bartholomew Price
Publisher: Forgotten Books
ISBN: 9780332610290
Category : Science
Languages : en
Pages : 654
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Book Description
Excerpt from A Treatise on Analytical Mechanics, Vol. 3: Dynamics of a Material System The expediency, nay, almost the necessity, of giving a geometrical image to complicated mechanical laws demanded the insertion of a preliminary Chapter, which should contain the required geometrical theo rems. The importance of familiarity with the sym bols of this Chapter and their symmetrical manipu lation, with the linear and angular directions, with the geometrical forms, which being in tridimensional space are difficult of imagination, cannot be over estimated. A system of notation has also been hereby obtained, and this is preserved uniformly throughout the Treatise. 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.
Author: Bartholomew Price
Publisher: Forgotten Books
ISBN: 9780332610290
Category : Science
Languages : en
Pages : 654
Get Book Here
Book Description
Excerpt from A Treatise on Analytical Mechanics, Vol. 3: Dynamics of a Material System The expediency, nay, almost the necessity, of giving a geometrical image to complicated mechanical laws demanded the insertion of a preliminary Chapter, which should contain the required geometrical theo rems. The importance of familiarity with the sym bols of this Chapter and their symmetrical manipu lation, with the linear and angular directions, with the geometrical forms, which being in tridimensional space are difficult of imagination, cannot be over estimated. A system of notation has also been hereby obtained, and this is preserved uniformly throughout the Treatise. 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.
Author: Bartholomew Price
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Pierre Simon marquis de Laplace
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 314
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Book Description
Author: L. A. Pars
Publisher:
ISBN: 9780918024077
Category : Science
Languages : en
Pages : 641
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Book Description
Author: John G Papastavridis
Publisher: World Scientific
ISBN: 9814590363
Category : Mathematics
Languages : en
Pages : 1417
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Book Description
This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.
Author: Bartholomew Price
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 656
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Book Description
Author: John G. Papastavridis
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814338714
Category : Mathematics
Languages : en
Pages : 1392
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Book Description
This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.
Author: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 416
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Book Description
Author: Bartholomew Price
Publisher: Forgotten Books
ISBN: 9781330348970
Category : Science
Languages : en
Pages : 700
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Book Description
Excerpt from A Treatise on Infinitesimal Calculus, Vol. 3: Containing Differential and Integral Calculus, of Variations, Applications to Algebra and Geometry, and Analytical Mechanics This volume is the third of a Treatise on Infinitesimal Calculus and its capital applications. It is also the first of a Treatise on Mechanics, and may be considered and studied independently of the two preceding volumes. In it are contained Statics ordinarily so called, Attractions, and the Dynamics of a Material Particle. The investigations are for the most part confined to subjects which are within the range of the general principles of Mechanics, and are not extended to particular sciences wherein these principles are specifically applied. Thus, the principles are discussed on which the equilibrium and stability of bridges, arches, and roofs depend; yet the practical rules of the engineer's and the builder's arts are not considered. Also as physical astronomy, the theories of light, heat, and electricity require the explanation and discussion of certain experimental laws which rule their subject-matter, so the inquiry into these special subjects is beyond the scope of this work at its present stage. 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.
Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 1475720637
Category : Mathematics
Languages : en
Pages : 530
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Book Description
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
