Hamilton

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.

Jordan Hamilton Releases “Union Station” Written on a train going from Chicago to Kalamazoo, the Michigan based cellist and vocalist explores love’s crucial element - timing. Listen to the new song out today.

Discover the little-known role Alexander Hamilton played in the decisive battle of the American Revolution: Yorktown.

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.