DE LEÓN, M.; SALGADO, M.; VILARIÑO, S.
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76,00 ۥ 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
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.
Authors
• Manuel de León (Instituto de Ciencias Matemáticas, Spain).
• Modesto Salgado (Universidade de Santiago de Compostela, Spain).
• Silvia Vilariño (Centro Universitario de la Defensa, Spain)
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