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Titlebook: Analytical Mechanics; Classical, Lagrangia Valter Moretti Textbook 20231st edition The Editor(s) (if applicable) and The Author(s), under e

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发表于 2025-3-21 19:01:04 | 显示全部楼层 |阅读模式
期刊全称Analytical Mechanics
期刊简称Classical, Lagrangia
影响因子2023Valter Moretti
视频videohttp://file.papertrans.cn/157/156611/156611.mp4
发行地址Textbook is flexible and adapts to different curricula.Contains both physical motivations and abstract formalism.Classical analytical mechanics is viewed from the perspective of modern physics
学科分类UNITEXT
图书封面Titlebook: Analytical Mechanics; Classical, Lagrangia Valter Moretti Textbook 20231st edition The Editor(s) (if applicable) and The Author(s), under e
影响因子.This textbook aims at introducing readers, primarily students enrolled in undergraduate Mathematics or Physics courses, to the topics and methods of classical Mathematical Physics, including Classical Mechanics, its Lagrangian and Hamiltonian formulations, Lyapunov stability, plus the Liouville theorem and the Poincaré recurrence theorem among others. The material also rigorously covers the theory of Special Relativity. The logical-mathematical structure of the physical theories of concern is introduced in an axiomatic way, starting from a limited number of physical assumptions. Special attention is paid to themes with a major impact on Theoretical and Mathematical Physics beyond Analytical Mechanics, such as the Galilean symmetry of classical Dynamics and the Poincaré symmetry of relativistic Dynamics, the far-fetching relationship between symmetries and constants of motion, the coordinate-free nature of the underpinning mathematical objects, or the possibility of describing Dynamics in a global way while still working in local coordinates. Based on the author’s established teaching experience, the text was conceived to be flexible and thus adapt to different curricula and to the
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978-3-031-27611-8The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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https://doi.org/10.1007/978-3-540-46664-2In this chapter we introduce the structure of . of Classical Physics, the notion of . and the fundamental ideas of elementary, absolute and relative ..
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https://doi.org/10.1007/978-3-540-46664-2In this chapter we introduce the basics in the theory of Lyapunov stability, which was first formulated at the end of the nineteenth century.
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Thomas Schickinger,Angelika StegerThe final chapter is devoted to formulating Hamiltonian Mechanics on symplectic manifolds and on bundles over symplectic manifolds. We will take the chance to discuss in detail the phase-space action of the Galilean and Poincaré groups in terms of canonical transformations.
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https://doi.org/10.1007/978-3-662-45177-9In this chapter we introduce the elementary theory of . in terms of ., also on differentiable manifolds.
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