| 期刊全称 | An Introduction to Hamiltonian Mechanics | | 影响因子2023 | Gerardo F. Torres del Castillo | | 视频video | | | 发行地址 | Presents a precise definition and examples of the symmetries of a Hamiltonian, including transformations that depend explicitly on the time.Contains the definition and examples of R-separable solution | | 学科分类 | Birkhäuser Advanced Texts‘ Basler Lehrbücher | | 图书封面 |  | | 影响因子 | This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises..For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton–Jacobi equation, and the Liouville Theorem on solutions of the Hamilton–Jacobi equation. .Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The textassumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although | | Pindex | Textbook 2018 |
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发表于 2025-3-21 19:52:58
