Mathematical Methods of Classical Mechanics

Written By V.I. Arnol'd
Mathematical Methods of Classical Mechanics
  • Publsiher : Springer Science & Business Media
  • Release : 09 April 2013
  • ISBN : 1475720637
  • Pages : 520 pages
  • Rating : /5 from reviews
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Download or read book entitled Mathematical Methods of Classical Mechanics by author: V.I. Arnol'd which was release on 09 April 2013 and published by Springer Science & Business Media with total page 520 pages . This book available in PDF, EPUB and Kindle Format. 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 : 2013-04-09
  • Total pages : 520
  • ISBN : 1475720637
GET BOOK

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 : 1475720637
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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 ...

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 : 1475720637
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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 Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
  • Author : V.I. Arnol'd
  • Publisher : Springer
  • Release Date : 1997-09-05
  • Total pages : 520
  • ISBN : 1475720637
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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 ...

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 : 1475720637
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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 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 : 1475720637
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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 ...

Analytical Mechanics for Relativity and Quantum Mechanics

Analytical Mechanics for Relativity and Quantum Mechanics
  • Author : Oliver Johns
  • Publisher : OUP Oxford
  • Release Date : 2011-05-19
  • Total pages : 656
  • ISBN : 1475720637
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Summary : An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory....

Mechanical Systems Classical Models

Mechanical Systems  Classical Models
  • Author : Petre P. Teodorescu
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-09-30
  • Total pages : 772
  • ISBN : 1475720637
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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 ...

Analytical Mechanics

Analytical Mechanics
  • Author : Joseph S. Torok
  • Publisher : John Wiley & Sons
  • Release Date : 1999-11-04
  • Total pages : 376
  • ISBN : 1475720637
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Summary : A stimulating, modern approach to analytical mechanics Analytical Mechanics with an Introduction to Dynamical Systems offers a much-needed, up-to-date treatment of analytical dynamics to meet the needs of today's students and professionals. This outstanding resource offers clear and thorough coverage of mechanics and dynamical systems, with an approach that offers ...

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 : 1998-10-27
  • Total pages : 344
  • ISBN : 1475720637
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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 ...

Exploring Classical Mechanics

Exploring Classical Mechanics
  • Author : Full Professor and Chair of Theoretical Physics G L Kotkin,G. L. Kotkin,Full Professor and Chair of Theoretical Physics V G Serbo,V. G. Serbo
  • Publisher : Oxford University Press, USA
  • Release Date : 2020-08-10
  • Total pages : 368
  • ISBN : 1475720637
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Summary : This new edition of a popular textbook offers an original collection of problems in analytical mechanics. Analytical mechanics is the first chapter in the study and understanding of theoretical physics. Its methods and ideas are crucially important, as they form the basis of all other branches of theoretical physics, including ...

Mathematical Methods In Classical And Quantum Physics

Mathematical Methods In Classical And Quantum Physics
  • Author : Tulsi Dass,S.K. Sharma
  • Publisher : Universities Press
  • Release Date : 1998
  • Total pages : 703
  • ISBN : 1475720637
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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 ...

Introduction to Classical Mechanics

Introduction to Classical Mechanics
  • Author : Roy, Nikhil Ranjan
  • Publisher : Vikas Publishing House
  • Release Date : 2021-04-16
  • Total pages : 212
  • ISBN : 1475720637
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Summary : The book deals with the mechanics of particles and rigid bodies. It is written for the undergraduate students of physics and meets the syllabus requirements of most Indian universities. It also covers the entire syllabus on classical/analytical mechanics for various national and state level examinations like NET, GATE and ...

Analytical Mechanics

Analytical Mechanics
  • Author : A.I. Lurie
  • Publisher : Springer Science & Business Media
  • Release Date : 2002-03-26
  • Total pages : 864
  • ISBN : 1475720637
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Summary : This is a translation of A.I. Lurie classical Russian textbook on analytical mechanics. Part of it is based on courses formerly held by the author. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served ...

Analytical Mechanics

Analytical Mechanics
  • Author : Nivaldo A. Lemos
  • Publisher : Cambridge University Press
  • Release Date : 2018-08-09
  • Total pages : 470
  • ISBN : 1475720637
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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....