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The Geometrical formulation of Hamiltonian Mechanics to Symplectic Geometry
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The aim of this paper to explain some of connections between mechanics (specially Hamiltonian mechanics and differential geometry. Moreover, to shed the light on formulation of classical mechanics in term of symplectic geometry.
Keywords
Hamiltonian's Principle, Manifold, Tensor, Symplectic Geometry
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- Abraham Albert Ungar , (2008),Analytic Hyperbolic Geometry and Albert Einstein's Special Theory Relativity,World Scientific publishing Co-Pte.Ltd
- Al Fred Grany,Modern, (1998),Differential Geometry of Curves and Surfaces with Mathematica, CRC Press.
- Aubin Thierry,(2001), Differential Geometry,American Mathematical Society.
- Aurel Bejancu,Hani Reda (2006), Faran-Foliations and Geometric Structures,Springer Adordrecht,the Netherlands.
- Bluman G.W , Kumei.S (1998) , Symmetry and Differential Equations New York :Springer-Verlag.
- David Bleaker, (1981),Gauge Theory and Variational Principle, Addison- Wesley Publishing Company.
- Report Hermann-(1968), Differential Geometry and the calculus of Variations New York and London.
- Edmund Bertschinger, (2002),Introduction to Tenser Calculus for General Relativity.
- M. Lee. John ,(2002),Introduction to Smooth Manifolds-Springer Verlag.
- Nail. H. Ibragimov ,(1996), Elementry Lie Group Analysis and Ordinary Differential Equations. John Wiley Sons New York.
- Olever.P.J,(1993), Application of Lie Groups to Differential Equations. New York Springer-Verlag.
- Polyanin, A, D, Zaitsev, V, F, (2004), Handbook of Nonlinear Partial Differential Equations, Chapman & hall//CRC Boca, Raton.
- Vladimir,G,Invancevic,Tijana,T, (2007), Invancevic –Applied Differential Geometry-World Scientific publishing Co-Pte.Ltd.
- Torsten Asselmeyer Maluga,Carl.H.Brans, (2007), Differential Topology and Space-time Models-World Scientific publishing Co-Pte.Ltd.
- Manuel De Leo,(1989),n Analytical Mechanics-Elserviier Science Publisher.
- Serge Lang ,(1999),Fundamental of Differential Geometry-Springer-Verlage.
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