Cargando…

Fundamental principles of classical mechanics: a geometrical perspective

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...

Descripción completa

Detalles Bibliográficos
Autor principal: Lam, Kai S
Lenguaje:eng
Publicado: World Scientific 2014
Materias:
Acceso en línea:http://cds.cern.ch/record/1703792
_version_ 1780936370888376320
author Lam, Kai S
author_facet Lam, Kai S
author_sort Lam, Kai S
collection CERN
description 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 are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).
id cern-1703792
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
publisher World Scientific
record_format invenio
spelling cern-17037922021-04-21T21:01:17Zhttp://cds.cern.ch/record/1703792engLam, Kai SFundamental principles of classical mechanics: a geometrical perspectiveGeneral Theoretical PhysicsThis 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 are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).World Scientificoai:cds.cern.ch:17037922014-08-23
spellingShingle General Theoretical Physics
Lam, Kai S
Fundamental principles of classical mechanics: a geometrical perspective
title Fundamental principles of classical mechanics: a geometrical perspective
title_full Fundamental principles of classical mechanics: a geometrical perspective
title_fullStr Fundamental principles of classical mechanics: a geometrical perspective
title_full_unstemmed Fundamental principles of classical mechanics: a geometrical perspective
title_short Fundamental principles of classical mechanics: a geometrical perspective
title_sort fundamental principles of classical mechanics: a geometrical perspective
topic General Theoretical Physics
url http://cds.cern.ch/record/1703792
work_keys_str_mv AT lamkais fundamentalprinciplesofclassicalmechanicsageometricalperspective