| 书目名称 | Classical Mechanics | | 副标题 | Theory and Mathemati | | 编辑 | Emmanuele DiBenedetto | | 视频video | | | 概述 | Offers a rigorous mathematical treatment of mechanics as a text or reference.Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth o | | 丛书名称 | Cornerstones | | 图书封面 |  | | 描述 | Classical mechanics is a chief example of the scientific method organizing a "complex"collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling. This textbook covers standard topics of a mechanics course, namely, the mechanics of rigid bodies, Lagrangian and Hamiltonian formalism, stability and small oscillations, an introduction to celestial mechanics, and Hamilton–Jacobi theory, but at the same time features unique examples—such as the spinning top including friction and gyroscopic compass—seldom appearing in this context. In addition, variational principles like Lagrangian and Hamiltonian dynamics are treated in great detail.Using a pedagogical approach, the author covers many topics that are gradually developed andmotivated by classical examples. Through `Problems and Complements‘ sections at the end ofeach chapter, the work presents various questions in an extended presentation that is extremely useful for an interdisciplinary audience trying to master the subject. Beautiful illustrations, unique examples, and useful remarks are key features throughout the text.Classical Mec | | 出版日期 | Textbook 2011 | | 关键词 | Areolar Velocity; Canonical Transformations; Constrained Mechanical Systems; Dynamics of a Point Mass S | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4648-6 | | isbn_ebook | 978-0-8176-4648-6Series ISSN 2197-182X Series E-ISSN 2197-1838 | | issn_series | 2197-182X | | copyright | Springer Science+Business Media, LLC 2011 |
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发表于 2025-3-21 17:13:13
