书目名称 | Classical Mechanics with Mathematica® | 编辑 | Antonio Romano,Addolorata Marasco | 视频video | | 概述 | Offers a unique and broad approach to mechanics, integrating linear algebra, analysis, and differential geometry.Provides an illuminating historical perspective on the subject, including the models of | 丛书名称 | Modeling and Simulation in Science, Engineering and Technology | 图书封面 |  | 描述 | .This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Hamilton—while also painting a clear picture of the most modern developments..The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional | 出版日期 | Textbook 2018Latest edition | 关键词 | Classical Mechanics; Analytical Mechanics; Differential Geometry; Point Dynamics; Rigid Body Dynamics; St | 版次 | 2 | doi | https://doi.org/10.1007/978-3-319-77595-1 | isbn_softcover | 978-3-030-08489-9 | isbn_ebook | 978-3-319-77595-1Series ISSN 2164-3679 Series E-ISSN 2164-3725 | issn_series | 2164-3679 | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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