高阶哈密顿空间的几何学;在哈密顿力学中的应用
The Geometry Of Higher-Order Hamilton Spaces; Applications to Hamiltonian Mechanics
摘要：
这本书可以分为三个部分：拉格朗日几何秩序$k$，提出了在前三章，几何理论的对偶流形$T^{*k}M$ -第4-7章和几何汉密尔顿空间秩序$k$及其子空间，载于最后四章。它们被直接研究，并作为“对偶”几何，通过勒让德变换。
英文摘要：
The book can be divided in three parts: the Lagrange geometry of order $k$, presented in the first three chapters, the geometrical theory of the dual manifolds $T^{*k}M$ - chapters 4-7 and the geometry of Hamilton spaces of order $k$ and their subspaces, contained in the last four chapters. They are studied directly and as 'dual' geometry, via Legendre transformation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
