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Titlebook: Classical Mechanics with Mathematica®; Antonio Romano,Addolorata Marasco Textbook 2018Latest edition Springer International Publishing AG,

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发表于 2025-3-21 16:41:51 | 显示全部楼层 |阅读模式
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Titlebook: Classical Mechanics with Mathematica®;  Antonio Romano,Addolorata Marasco Textbook 2018Latest edition Springer International Publishing AG,
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
doihttps://doi.org/10.1007/978-3-319-77595-1
isbn_softcover978-3-030-08489-9
isbn_ebook978-3-319-77595-1Series ISSN 2164-3679 Series E-ISSN 2164-3725
issn_series 2164-3679
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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Euclidean and Symplectic Vector Spacest and the antiscalar product. A vector space equipped with the first operation is called a Euclidean vector space, whereas when it is equipped with the second operation, it is said to be a symplectic vector space. These operations allow us to introduce into . many other geometric and algebraic conce
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Exterior Derivative and Integratione exterior derivative extends to .-forms the elementary definitions of gradient of a function, curl, and divergence of a vector field as well as the meaning of exact and closed 1-forms. The integration of .-forms allows to extend the definitions of surface and volume integrals as well as the Gauss a
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Kinematics of Rigid Bodiesnslational, rotational, spherical, and planar motions are studied. Finally, the transformation formulae of velocity and acceleration from a rigid frame of reference to another one are determined. Exercises conclude the chapter.
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