Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Appro

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    Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches
    k-Symplectic and k-Cosymplectic Approaches
    By: Manuel de León; Modesto Salgado; Silvia Vilariño
    Publisher:
    WSPC
    Print ISBN: 9789814699754, 9814699756
    eText ISBN: 9789814699778, 9814699772
    Pages: 224
    Format: EPUB
    Available from $ 42.00 USD
    SKU 9789814699778
    This book is devoted to review two of the most relevant approaches to the study of classical field theories of the first order, say k-symplectic and k-cosymplectic geometry. This approach is also compared with others like multisymplectic formalism.
    It will be very useful for researchers working in classical field theories and graduate students interested in developing a scientific career in the subject.

    Contents:
    A Review of Hamiltonian and Lagrangian Mechanics:
    Hamiltonian and Lagrangian Mechanics
    k-Symplectic Formulation of Classical Field Theories:
    k-Symplectic Geometry
    k-Symplectic Formalism
    Hamiltonian Classical Field Theory
    Hamilton–Jacobi Theory in k-Symplectic Field Theories
    Lagrangian Classical Field Theories
    Examples
    k-Cosymplectic Formulation of Classical Field Theories:
    k-Cosymplectic Geometry
    k-Cosymplectic Formalism
    Hamiltonian Classical Field Theories
    Hamilton–Jacobi Equation
    Lagrangian Classical Field Theories
    Examples
    k-Symplectic Systems versus Autonomous k-Cosymplectic Systems

    Graduate students and researchers in classical field theories.
     

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