Description
Book SynopsisThis 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.
Table of ContentsA 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;
