Mathematical Aspects Of Classical And Celestial Mechanics
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Mathematical Aspects Of Classical And Celestial Mechanics
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Author : Vladimir I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-05
Mathematical Aspects Of Classical And Celestial Mechanics written by Vladimir I. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-05 with Mathematics categories.
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 motion, the theory of oscillations and perturbation theory.
Mathematical Aspects Of Classical And Celestial Mechanics
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Author : V.I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Mathematical Aspects Of Classical And Celestial Mechanics written by V.I. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
From the reviews: "... As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising. ... The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview. ..." American Mathematical Monthly, Nov. 1989 "This is a book to curl up with in front of a fire on a cold winter's evening. ..." SIAM Reviews, Sept. 1989
Dynamical Systems Mathematical Aspects Of Classical And Celestial Mechanics
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Author :
language : en
Publisher:
Release Date : 1988
Dynamical Systems Mathematical Aspects Of Classical And Celestial Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Celestial mechanics categories.
Mathematical Aspects Of Classical And Celestial Mechanics
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Author : Vladimir I. Arnol'd
language : en
Publisher: Springer Verlag
Release Date : 1993
Mathematical Aspects Of Classical And Celestial Mechanics written by Vladimir I. Arnol'd and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Mathematical Aspects of Classical and Celestial Mechanics.As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising... The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake.
Mathematical Aspects Of Classical And Celestial Mechanics
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Author : V.I. Arnold
language : en
Publisher: Springer
Release Date : 1996-12-18
Mathematical Aspects Of Classical And Celestial Mechanics written by V.I. Arnold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-18 with Mathematics categories.
From the reviews: "... As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising. ... The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview. ..." American Mathematical Monthly, Nov. 1989 "This is a book to curl up with in front of a fire on a cold winter's evening. ..." SIAM Reviews, Sept. 1989
Dynamical Systems Iii
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Author : Vladimir I. Arnol'd
language : en
Publisher: Springer
Release Date : 1988
Dynamical Systems Iii written by Vladimir I. Arnol'd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.
This work describes the fundamental principles, problems, and methods of elassical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working apparatus of elassical mechanics, rather than its physical foundations or applications. This appara tus is basically contained in Chapters 1, 3,4 and 5. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Special consideration is given to the study of motion under constraints, and also to problems concerned with the realization of constraints in dynamics. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Also discussed are various aspects of the theory of the reduction of order for systems with symmetry, often used in applications. Chapter 4 contains abrief survey of various approaches to the problem of the integrability of the equations of motion, and discusses some of the most general and effective methods of integrating these equations. Various elassical examples of integrated problems are outlined. The material pre sen ted in this chapter is used in Chapter 5, which is devoted to one of the most fruitful branches of mechanics - perturbation theory. The main task of perturbation theory is the investigation of problems of mechanics which are" elose" to exact1y integrable problems.
Dynamical Systems Iii
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Author :
language : en
Publisher:
Release Date : 1989
Dynamical Systems Iii written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Dyamical systems categories.
Mathematical Aspects Of Classical And Celestial Mechanics
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Author :
language : en
Publisher:
Release Date : 1988
Mathematical Aspects Of Classical And Celestial Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Celestial mechanics categories.
Mathematical Methods Of Classical Mechanics
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Author : V.I. Arnol'd
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-09-05
Mathematical Methods Of Classical Mechanics written by V.I. Arnol'd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-05 with Mathematics categories.
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.
Classical And Celestial Mechanics
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Author : Hildeberto Cabral
language : en
Publisher: Princeton University Press
Release Date : 2020-12-08
Classical And Celestial Mechanics written by Hildeberto Cabral and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-08 with Science categories.
This book brings together a number of lectures given between 1993 and 1999 as part of a special series hosted by the Federal University of Pernambuco, in which internationally established researchers came to Recife, Brazil, to lecture on classical or celestial mechanics. Because of the high quality of the results and the general interest in the lecturers' topics, the editors have assembled nine of the lectures here in order to make them available to mathematicians and students around the world. The material presented includes a good balance of pure and applied research and of complete and incomplete results. Bringing together material that is otherwise quite scattered in the literature and including some important new results, it will serve graduate students and researchers interested in Hamiltonian dynamics and celestial mechanics. The contributors are Dieter Schmidt, Ernesto Pérez-Chavela, Mark Levi, Plácido Táboas and Jack Hale, Jair Koiller et al., Hildeberto Cabral, Florin Diacu, and Alain Albouy. The topics covered include central configurations and relative equilibria for the N-body problem, singularities of the N-body problem, the two-body problem, normal forms of Hamiltonian systems and stability of equilibria, applications to celestial mechanics of Poincaré's compactification, the motion of the moon, geometrical methods in mechanics, momentum maps and geometric phases, holonomy for gyrostats, microswimming, and bifurcation from families of periodic solutions.