书目名称 | Classical Mechanics | 副标题 | Hamiltonian and Lagr | 编辑 | Alexei Deriglazov | 视频video | | 概述 | New edition with numerous problems with solutions, additional sections deepening the topics Euler-Lagrange, Cartan two-form in Lagrangian theory, Newtonian equations of motion in context of general re | 图书封面 |  | 描述 | .The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover related topics such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material..New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition isthe inclusion of problem sets and solutions to aid in the understanding of the material presented..The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student ne | 出版日期 | Book 2017Latest edition | 关键词 | Canonical Transformation Mechanics; Textbook Classical Mechanics; Hamiltonian Formalism Mechanics; Hami | 版次 | 2 | doi | https://doi.org/10.1007/978-3-319-44147-4 | isbn_softcover | 978-3-319-82995-1 | isbn_ebook | 978-3-319-44147-4 | copyright | Springer International Publishing Switzerland 2017 |
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