| 书目名称 | Mathematical Aspects of Classical and Celestial Mechanics | | 编辑 | Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Nei | | 视频video | | | 概述 | Best book on the subject, now in its third edition.Includes supplementary material: | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | In this book we describe the basic principles, problems, and methods of cl- sical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth ?rst and foremost the “working” apparatus of classical mechanics. This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. Chapter 1 is devoted to the basic mathematical models of classical - chanics that are usually used for describing the motion of real mechanical systems. Special attention is given to the study of motion with constraints and to the problems of realization of constraints in dynamics. In Chapter 3 we discuss symmetry groups of mechanical systems and the corresponding conservation laws. We also expound various aspects of ord- reduction theory for systems with symmetries, which is often used in appli- tions. Chapter 4 is devoted to variational principles and methods of classical mechanics. They allow one, in particular, to obtain non-trivial results on the existence of periodic trajectories. Special at | | 出版日期 | Book 2006Latest edition | | 关键词 | celestial mechanics; classical mechanics; classsical mechanics; integrability; nonintegrability; perturba | | 版次 | 3 | | doi | https://doi.org/10.1007/978-3-540-48926-9 | | isbn_softcover | 978-3-642-06647-4 | | isbn_ebook | 978-3-540-48926-9Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 2006 |
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发表于 2025-3-21 19:30:30
