Abstract

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 Relationship between k-Symplectic and k-Cosymplectic Approaches and the Multisymplectic Formalism: Multisymplectic Formalism Appendices: Symplectic Manifolds Cosymplectic Manifolds Glossary of Symbols

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