| 書目名稱 | Lagrangian and Hamiltonian Mechanics | | 副標題 | A Modern Approach wi | | 編輯 | José Rachid Mohallem | | 視頻video | http://file.papertrans.cn/581/580474/580474.mp4 | | 概述 | Discusses fundamental issues and special topics that are absent in standard textbooks.Obtain all results from Hamilton’s principle and appropriate guessed Lagrangians.Includes problems and solutions t | | 圖書封面 |  | | 描述 | .This book serves as a textbook for an analytical mechanics course, a fundamental subject of physics, that pays special attention to important topics that are not discussed in most standard textbooks. Readers are provided with a clear understanding of topics that are usually inaccessible to the undergraduate level and that are critical to learning Lagrangian and Hamiltonian mechanics. Each chapter also includes worked problems and solutions, as well as additional exercises for readers to try..?This book begins with the fundamentals of analytical mechanics, concisely introducing readers to the calculus of variations, Hamilton’s Principle, and Lagrange’s equations. While presenting readers with these core topics, the author uses an intuitive approach to delve into essential questions, such as where Galilean invariance lies in Lagrangian mechanics and how Hamilton’s Principle of Least Action encompasses Newton’s three laws, interesting conclusions that often go unnoticed. Infact, Hamilton’s principle is taken throughout as the very origin of classical physical laws, and the choice of appropriate Lagrangians in each case as the real theoretical challenge, meaning that forms of Lagrangi | | 出版日期 | Textbook 2024 | | 關鍵詞 | Newton‘s Laws in Lagrangian Mechanics; Galilean Invariance; Lagrange Equations from D‘Alembert‘s Princ | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-55202-1 | | isbn_softcover | 978-3-031-55204-5 | | isbn_ebook | 978-3-031-55202-1 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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