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    Differential Geometry with Applications to Mechanics and Physics

    Differential Geometry with Applications to Mechanics and Physics

    Af
    Bog E-bog
    • Format
    • Bog, hardback
    • Engelsk
    • 476 sider

    Beskrivelse

    An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.

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    Detaljer
    • SprogEngelsk
    • Sidetal476
    • Udgivelsesdato12-09-2000
    • ISBN139780824703851
    • Forlag CRC Press Inc
    • FormatHardback
    Størrelse og vægt
  • Vægt907 g
    • coffee cup img
    10 cm
    book img
    17,8 cm
    25,4 cm

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    Space Field Lie-algebra Symplectic manifolds Riemannian manifolds Coordinates Geometry, Differential Form Local Mapping Hamilton Jacobi equation Vector Vector bundle Cotangent bundle Vector field Differentiable manifold Ij Riemannian geometry Manifold Tangent bundle Exterior algebra Tensor field Poisson Bracket Tangent Differentiable Canonical Transformation Differential Form Ofdegree Exterior Differential Hamilton Canonical Equations Differential Fonn Differentiable Vector Field Integral Curve Exterior Product Lie derivative Tangent Vector Field Tangent Vectors

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