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  • 音像拉格朗日几何和哈密顿几何—力学的应用(英文)(罗)拉杜·米龙
  • 正版
    • 作者: (罗)拉杜·米龙著 | (罗)拉杜·米龙编 | (罗)拉杜·米龙译 | (罗)拉杜·米龙绘
    • 出版社: 哈尔滨工业大学出版社
    • 出版时间:2021-10-01
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    • 作者: (罗)拉杜·米龙著| (罗)拉杜·米龙编| (罗)拉杜·米龙译| (罗)拉杜·米龙绘
    • 出版社:哈尔滨工业大学出版社
    • 出版时间:2021-10-01
    • 版次:1
    • 印次:1
    • 字数:240000
    • 页数:276
    • 开本:32开
    • ISBN:9787560396576
    • 版权提供:哈尔滨工业大学出版社
    • 作者:(罗)拉杜·米龙
    • 著:(罗)拉杜·米龙
    • 装帧:暂无
    • 印次:1
    • 定价:48.00
    • ISBN:9787560396576
    • 出版社:哈尔滨工业大学出版社
    • 开本:32开
    • 印刷时间:暂无
    • 语种:暂无
    • 出版时间:2021-10-01
    • 页数:276
    • 外部编号:31330516
    • 版次:1
    • 成品尺寸:暂无

    1 The Geometry of tangent manifold
    1.1 The manifold TM
    1.2 Semisprays on the manifold TM
    1.3 Nonlinear connections
    1.4 N-linear connections
    1.5 Parallelism. Structure equations
    2 Lagrange spaces
    2.1 The notion of Lagrange space
    2.2 Variational problem. Euler-Lagrange equations
    . Canonical semispray. Nonlinear connection
    2.4 Hamilton-Jacobi equations
    2.5 Metrical N-linear connections
    2.6 The electromagnetic and gravitational fields
    2.7 The almost Kahlerian model of a Lagrange space Ln
    2.8 Generalized Lagrange spaces
    3 Finsler Spaces
    3.1 Finsler metrics
    3.2 Geodesics
    3.3 Cartan nonlinear connection
    3.4 Cartan metrical connection
    4 The Geometry of Cotangent Manifold
    4.1 Cotangent bundle
    4.2 Variational problem. Hamilton-Jacobi equations
    4.3 Nonlinear connections
    4.4 N-linear connections
    4.5 Parallelism, paths and structure equations
    5 Hamilton spaces
    5.1 Notion of Hamilton space
    5.2 Nonlinear connection of a Hamilton space
    5.3 The canonical metrical connection of Hamilton space Hn
    5.4 Generalized Hamilton Spaces GHn
    5.5 The almost Kahlerian model of a Hamilton space
    6 Cartan spaces
    6.1 Notion of Caftan space
    6.2 Canonical nonlinear connection of Ln
    6.3 Canonical metrical connection of Ln
    6.4 The aty between Lagrange and Hamilton spaces
    7 The Geometry of the manifold TkM
    7.1 The bundle of acceleration of order k≥1
    7.2 The Liouville vector fields
    7.3 Variational Problem
    7.4 Semisprays. Nonlinear connections
    7.5 The dual coefficients of a nonlinear connection
    7.6 Prolongation to the manifold TkM of the Riemannian structures given on the base manifold M
    7.7 N-linear connections on TkM
    8 Lagrange Spaces of Higher-order
    8.1 The spaces L(k)n = (M,L)
    8.2 Examples of spaces L(k)n
    8.3 Canonical metrical N-connection
    8.4 The Riemannian (k - 1)n-contact model of the space L(k)n

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