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- Mathematical Methods of Analytical Mechanics

- Author : Henri Gouin
- Publsiher : Elsevier
- Release : 27 November 2020
- ISBN : 0128229861
- Pages : 320 pages
- Rating : 4/5 from 21 reviews

GET THIS BOOKMathematical Methods of Analytical Mechanics

Read or download book entitled Mathematical Methods of Analytical Mechanics written by Henri Gouin which was release on 27 November 2020, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties associated with Noether's theorem, and highlights methods of integration, including Jacobi's method, which is deduced. In addition, the book covers the Maupertuis principle that looks at the conservation of energy of material systems and how it leads to quantum mechanics. Finally, the book deduces the various spaces underlying the analytical mechanics which lead to the Poisson algebra and the symplectic geometry. Helps readers understand calculations surrounding the geometry of the tensor and the geometry of the calculation of the variation Presents principles that correspond to the energy conservation of material systems Defines the invariance properties associated with Noether's theorem Discusses phase space and Liouville's theorem Identifies small movements and different types of stabilities

- Author : Henri Gouin
- Publisher : Elsevier
- Release Date : 2020-11-27
- Total pages : 320
- ISBN : 0128229861

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**Summary :** Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties associated with Noether's theorem, and highlights methods of integration, including Jacobi's method, which is deduced. In addition, the book covers the Maupertuis principle that looks at the conservation of energy of material systems and ...

- Author : V. I. Arnold
- Publisher : Springer Science & Business Media
- Release Date : 2013-11-11
- Total pages : 464
- ISBN : 0128229861

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**Summary :** Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so ...

- Author : V.I. Arnol'd
- Publisher : Springer
- Release Date : 1997-09-05
- Total pages : 520
- ISBN : 0128229861

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**Summary :** 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 ...

- Author : Valentin V. Rumyantsev,Alexander V. Karapetyan
- Publisher : Springer
- Release Date : 2014-05-04
- Total pages : 344
- ISBN : 0128229861

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**Summary :** The volume aims at giving a comprehensive and up-to-date view of modern methods of analytical mechanics (general equations, invariant objects, stability and bifurcations) and their applications (rigid body dynamics, celestial mechanics, multibody systems etc.). The course is at an advanced level. It is designed for postgraduate students, research engineers and ...

- Author : Petre P. Teodorescu
- Publisher : Springer
- Release Date : 2009-08-04
- Total pages : 772
- ISBN : 0128229861

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**Summary :** All phenomena in nature are characterized by motion. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion. In the study of a science of nature, mathematics plays an important rôle. Mechanics is the first science of nature which has been expressed in ...

- Author : M. de León,P.R. Rodrigues
- Publisher : Elsevier
- Release Date : 2011-08-18
- Total pages : 482
- ISBN : 0128229861

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**Summary :** The differential geometric formulation of analytical mechanics not only offers a new insight into Mechanics, but also provides a more rigorous formulation of its physical content from a mathematical viewpoint. Topics covered in this volume include differential forms, the differential geometry of tangent and cotangent bundles, almost tangent geometry, symplectic ...

- Author : Petre P. Teodorescu
- Publisher : Springer
- Release Date : 2010-11-19
- Total pages : 564
- ISBN : 0128229861

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**Summary :** As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i. e. : the inertia, the forces ...

- Author : Kai S Lam
- Publisher : World Scientific Publishing Company
- Release Date : 2014-07-07
- Total pages : 592
- ISBN : 0128229861

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**Summary :** This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and ...

- Author : David Z. Goodson
- Publisher : John Wiley & Sons
- Release Date : 2011-11-14
- Total pages : 408
- ISBN : 0128229861

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**Summary :** Mathematical Methods for Physical and Analytical Chemistry presents mathematical and statistical methods to students of chemistry at the intermediate, post-calculus level. The content includes a review of general calculus; a review of numerical techniques often omitted from calculus courses, such as cubic splines and Newton’s method; a detailed treatment ...

- Author : Kai Shue Lam
- Publisher : World Scientific Publishing Company Incorporated
- Release Date : 2014
- Total pages : 574
- ISBN : 0128229861

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**Summary :** This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and ...

- Author : Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt
- Publisher : Springer Science & Business Media
- Release Date : 2007-07-05
- Total pages : 505
- ISBN : 0128229861

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**Summary :** The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather ...

- Author : Valentin V. Rumyantsev,Alexander V. Karapetyan
- Publisher : Springer
- Release Date : 2014-10-08
- Total pages : 344
- ISBN : 0128229861

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**Summary :** The volume aims at giving a comprehensive and up-to-date view of modern methods of analytical mechanics (general equations, invariant objects, stability and bifurcations) and their applications (rigid body dynamics, celestial mechanics, multibody systems etc.). The course is at an advanced level. It is designed for postgraduate students, research engineers and ...

- Author : H.W. Wyld,Gary Powell
- Publisher : CRC Press
- Release Date : 2020-11-26
- Total pages : 452
- ISBN : 0128229861

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**Summary :** From classical mechanics and classical electrodynamics to modern quantum mechanics many physical phenomena are formulated in terms of similar partial differential equations while boundary conditions determine the specifics of the problem. This 45th anniversary edition of the advanced book classic Mathematical Methods for Physics demonstrates how many physics problems resolve ...

- Author : Tulsi Dass,S.K. Sharma
- Publisher : Universities Press
- Release Date : 1998
- Total pages : 703
- ISBN : 0128229861

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**Summary :** This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics. Each topic is dealt with in a generally self-contained manner and the text is interspersed with a number of solved examples ad a large number ...

- Author : Oliver Johns
- Publisher : Oxford University Press
- Release Date : 2005-07-07
- Total pages : 597
- ISBN : 0128229861

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**Summary :** This book provides an innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It is intended for use at the introductory graduate level. A distinguishing feature of the book is its integration of special relativity into teaching ...