Hamilton

This book is the first to present an overview of higher-order Hamilton geometry with applications to higher-order Hamiltonian mechanics. It is a direct continuation of the book The Geometry of Hamilton and Lagrange Spaces, (Kluwer Academic Publishers, 2001). It contains the general theory of higher order Hamilton spaces H(k)n, k>=1, semisprays, the canonical nonlinear connection, the N-linear metrical connection and their structure equations, and the Riemannian almost contact metrical model of these spaces. In addition, the volume also describes new developments such as variational principles for higher order Hamiltonians; Hamilton-Jacobi equations; higher order energies and law of conservation; Noether symmetries; Hamilton subspaces of order k and their fundamental equations. The duality, via Legendre transformation, between Hamilton spaces of order k and Lagrange spaces of the same order is pointed out. Also, the geometry of Cartan spaces of order k =1 is investigated in detail. This theory is useful in the construction of geometrical models in theoretical physics, mechanics, dynamical systems, optimal control, biology, economy etc.

70-year-old American tenor saxophonist Scott Hamilton can reflect on a rich and rewarding career with pride and humility. In choosing the material for his new album, Looking Back, he's drawn inspiration from several musicians he has collaborated with over the years - a 'who's who' of jazz.

Carl Hamilton is on a secret mission on the border between Uzbekistan and Afghanistan. A truck filled with GPS controlled artillery shells have been stolen, and Hamilton goes undercover to recapture the artillery shells. A meeting is arranged, but something goes terribly wrong. Everyone gets killed by mercenaries, except for Hamilton who manages to escape. Back home in Sweden, his commander is very dissapointed that the mission is not successful. When the news comes out that weapon technician Gustaf Hammarsten is kidnapped in Somalia, swedish primeminister agrees to hire security company Spectragon, to rescue Gustaf. Hamilton is included in the rescue operation, but he sense that there is something wrong. Someone is not telling the truth, and he is willing to find out what is really going on.