Methods of differential geometry in classical field theories: k-symplectic and k-cosymplectic approaches

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

• ISBN: 978-981-4699-75-4
• Editorial: World Scientific
• Encuadernacion: Tela
• Páginas: 224
• Fecha Publicación: 01/09/2015
• Nº Volúmenes: 1
• Idioma: