Mathematical Methods of Classical Mechanics

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.

Produk Detail:

  • Author : V.I. Arnol'd
  • Publisher : Springer Science & Business Media
  • Pages : 520 pages
  • ISBN : 1475720637
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKMathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
  • Author : V.I. Arnol'd
  • Publisher : Springer Science & Business Media
  • Release : 09 April 2013
GET THIS BOOKMathematical Methods of Classical Mechanics

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 Analytical Mechanics

Mathematical Methods of Analytical Mechanics
  • Author : Henri Gouin
  • Publisher : Elsevier
  • Release : 27 November 2020
GET THIS BOOKMathematical Methods of Analytical Mechanics

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

Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
  • Author : V. I. Arnold
  • Publisher : Springer Science & Business Media
  • Release : 11 November 2013
GET THIS BOOKMathematical Methods of Classical Mechanics

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 hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond

Mathematical Methods of Analytical Mechanics

Mathematical Methods of Analytical Mechanics
  • Author : Henri Gouin
  • Publisher : Elsevier
  • Release : 27 November 2020
GET THIS BOOKMathematical Methods of Analytical Mechanics

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

Methods of Differential Geometry in Analytical Mechanics

Methods of Differential Geometry in Analytical Mechanics
  • Author : M. de León,P.R. Rodrigues
  • Publisher : Elsevier
  • Release : 18 August 2011
GET THIS BOOKMethods of Differential Geometry in Analytical Mechanics

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 and pre-symplectic Lagrangian and Hamiltonian formalisms, tensors and connections on manifolds, and geometrical aspects of variational and constraint theories. The book may be considered as a self-contained text and only

Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
  • Author : V.I. Arnol'd
  • Publisher : Springer Science & Business Media
  • Release : 05 September 1997
GET THIS BOOKMathematical Methods of Classical Mechanics

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 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 : 05 July 2007
GET THIS BOOKMathematical Aspects of Classical and Celestial Mechanics

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 than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of

Analytical Mechanics

Analytical Mechanics
  • Author : Ioan Merches,Daniel Radu
  • Publisher : CRC Press
  • Release : 26 August 2014
GET THIS BOOKAnalytical Mechanics

Giving students a thorough grounding in basic problems and their solutions, Analytical Mechanics: Solutions to Problems in Classical Physics presents a short theoretical description of the principles and methods of analytical mechanics, followed by solved problems. The authors thoroughly discuss solutions to the problems by taking a comprehensive a

Analytical Mechanics

Analytical Mechanics
  • Author : Nivaldo A. Lemos
  • Publisher : Cambridge University Press
  • Release : 09 August 2018
GET THIS BOOKAnalytical Mechanics

An introduction to the basic principles and methods of analytical mechanics, with selected examples of advanced topics and areas of ongoing research.

Analytical Mechanics

Analytical Mechanics
  • Author : John G. Papastavridis
  • Publisher : World Scientific Publishing Company Incorporated
  • Release : 14 April 2021
GET THIS BOOKAnalytical Mechanics

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

Analytical Mechanics

Analytical Mechanics
  • Author : Louis N. Hand,Janet D. Finch
  • Publisher : Cambridge University Press
  • Release : 13 November 1998
GET THIS BOOKAnalytical Mechanics

Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics,

Foundations of Mechanics

Foundations of Mechanics
  • Author : Ralph Abraham,Jerrold E. Marsden
  • Publisher : American Mathematical Soc.
  • Release : 14 April 1978
GET THIS BOOKFoundations of Mechanics

Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics. --Zentralblatt fur Mathematik For many years, this book has been viewed as a classic treatment of geometric mechanics. It is known for its broad exposition of the subject, with many features that cannot be found elsewhere. The book is recommended as a textbook and as a basic reference work for the foundations of differentiable and Hamiltonian dynamics.

Mathematical Methods in Quantum Mechanics

Mathematical Methods in Quantum Mechanics
  • Author : Gerald Teschl
  • Publisher : American Mathematical Soc.
  • Release : 14 April 2021
GET THIS BOOKMathematical Methods in Quantum Mechanics

Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of