Product Description: Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed...read more (view table of contents, read Amazon.com's description)

The group of Hamiltonian diffeomorphisms Ham(M, 0) of a symplectic mani­ fold (M, 0) plays a fundamental role both in geometry and classical mechanics. For a geometer, at least under some assumptions on the manifold M, this is just the connected component of the identity in the group of all symplectic diffeomorphisms. From the viewpoint of mechanics, Ham(M,O) is the group of all admissible motions. What is the minimal amount of energy required in order to generate a given Hamiltonian diffeomorphism I? An attempt to formalize and answer this natural question has led H. Hofer [HI] (1990) to a remarkable discovery. It turns out that the solution of this variational problem can be interpreted as a geometric quantity, namely as the distance between I and the identity transformation. Moreover this distance is associated to a canonical biinvariant metric on Ham(M, 0). Since Hofer's work this new ge­ ometry has been intensively studied in the framework of modern symplectic topology. In the present book I will describe some of these developments. Hofer's geometry enables us to study various notions and problems which come from the familiar finite dimensional geometry in the context of the group of Hamiltonian diffeomorphisms. They turn out to be very different from the usual circle of problems considered in symplectic topology and thus extend significantly our vision of the symplectic world. (view table of contents)

Product Description: In presenting a detailed study of the geometry and topology of numerous classes of "generic" singularities, Geometry of Topological Stability bridges the gap between algebraic calculations and continuity arguments to detail the necessary and sufficient conditions for a C (infinity) to be C]0-stable...read more

Product Description: Since the initiative works for global analysis of linear differential equations by G.G. Stokes and B. Riemann in 1857, the Airy function and the Gauss hypergeometric function became the most important and the greatest practical special functions, which have a variety of applications to mathematical science, physics and engineering...read more (view table of contents, read Amazon.com's description)

Product Description: Book by Borisovich, Yu G., Gliklikh, Yu E.

Product Description: Acclaim for The Global Class War""You will never think about 'free trade' the same way after reading Jeff Faux's superb book. As Faux makes clear, the globalization debate is really about whose interests are served by global elites, and how we need to go about reclaiming a democracy that serves ordinary people...read more

Provides a detailed analysis of the ways in which Democratic and Republican leaders have used so-called trade agreements to write a new global constitution that protects only the corporate investor.

Product Description: The purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew...read more

Product Description: This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices...read more

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Product Description: Al presidente Bush le han bastado solo dos años en el poder para demostrar que su primer objetivo es lograr la hegemonía de Estados Unidos en el mundo. Luego de una victoria electoral dudosa en el 2001, inició el camino al Impreio Global...read more