Mathematical Methods of Classical Mechanics

Written By V.I. Arnol'd
Mathematical Methods of Classical Mechanics
  • Publsiher : Springer Science & Business Media
  • Release : 05 September 1997
  • ISBN : 9780387968902
  • Pages : 520 pages
  • Rating : 4.5/5 from 6 reviews
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Read or download book entitled Mathematical Methods of Classical Mechanics written by V.I. Arnol'd which was release on 05 September 1997, this book published by Springer Science & Business Media. Available in PDF, EPUB and Kindle Format. Book excerpt: 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.

Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
  • Author : V.I. Arnol'd
  • Publisher : Springer Science & Business Media
  • Release Date : 1997-09-05
  • Total pages : 520
  • ISBN : 9780387968902
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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 ...

Mathematical Methods of Analytical Mechanics

Mathematical Methods of Analytical Mechanics
  • Author : Henri Gouin
  • Publisher : Elsevier
  • Release Date : 2020-11-27
  • Total pages : 320
  • ISBN : 9780387968902
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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 ...

Methods of Differential Geometry in Analytical Mechanics

Methods of Differential Geometry in Analytical Mechanics
  • Author : M. de León,P.R. Rodrigues
  • Publisher : Elsevier
  • Release Date : 2011-08-18
  • Total pages : 482
  • ISBN : 9780387968902
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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 ...

Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
  • Author : V.I. Arnol'd
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-09
  • Total pages : 520
  • ISBN : 9780387968902
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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 ...

Fundamental Principles of Classical Mechanics

Fundamental Principles of Classical Mechanics
  • Author : Kai S Lam
  • Publisher : World Scientific Publishing Company
  • Release Date : 2014-07-07
  • Total pages : 592
  • ISBN : 9780387968902
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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 ...

Mechanical Systems Classical Models

Mechanical Systems  Classical Models
  • Author : Petre P. Teodorescu
  • Publisher : Springer
  • Release Date : 2009-08-04
  • Total pages : 772
  • ISBN : 9780387968902
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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 ...

Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
  • Author : V. I. Arnold
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • Total pages : 464
  • ISBN : 9780387968902
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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 ...

Mathematical Aspects of Classical and Celestial Mechanics

Mathematical Aspects of Classical and Celestial Mechanics
  • Author : Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-07-05
  • Total pages : 505
  • ISBN : 9780387968902
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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 ...

Treatise on Classical Elasticity

Treatise on Classical Elasticity
  • Author : Petre P. Teodorescu
  • Publisher : Springer Science & Business Media
  • Release Date : 2014-07-08
  • Total pages : 802
  • ISBN : 9780387968902
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Summary : Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, ...

Modern Methods of Analytical Mechanics and their Applications

Modern Methods of Analytical Mechanics and their Applications
  • Author : Valentin V. Rumyantsev,Alexander V. Karapetyan
  • Publisher : Springer
  • Release Date : 2014-05-04
  • Total pages : 344
  • ISBN : 9780387968902
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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 ...

Mechanical Systems Classical Models

Mechanical Systems  Classical Models
  • Author : Petre P. Teodorescu
  • Publisher : Springer
  • Release Date : 2010-11-19
  • Total pages : 564
  • ISBN : 9780387968902
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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 ...

Classical Mechanics

Classical Mechanics
  • Author : Christopher W. Kulp,Vasilis Pagonis
  • Publisher : CRC Press
  • Release Date : 2020-11-16
  • Total pages : 456
  • ISBN : 9780387968902
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Summary : Classical Mechanics: A Computational Approach with Examples using Python and Mathematica provides a unique, contemporary introduction to classical mechanics, with a focus on computational methods. In addition to providing clear and thorough coverage of key topics, this textbook includes integrated instructions and treatments of computation. Full of pedagogy, it contains ...

Analytical Mechanics

Analytical Mechanics
  • Author : Nivaldo A. Lemos
  • Publisher : Cambridge University Press
  • Release Date : 2018-08-09
  • Total pages : 470
  • ISBN : 9780387968902
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Summary : An introduction to the basic principles and methods of analytical mechanics, with selected examples of advanced topics and areas of ongoing research....

Fundamental Principles of Classical Mechanics

Fundamental Principles of Classical Mechanics
  • Author : Kai Shue Lam
  • Publisher : World Scientific Publishing Company Incorporated
  • Release Date : 2014
  • Total pages : 574
  • ISBN : 9780387968902
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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 ...

Analytical Mechanics

Analytical Mechanics
  • Author : Antonio Fasano,Stefano Marmi
  • Publisher : OUP Oxford
  • Release Date : 2006-04-06
  • Total pages : 788
  • ISBN : 9780387968902
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Summary : Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics, with remarkable applications to many branches of physics (Astronomy, Statistical and Quantum Mechanics, etc.). Rooted in the works of Lagrange, Euler, and Poincaré, it is a classical subject with fascinating developments and still rich with open problems. ...