Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly m...(展开全部)

From the Internet to networks of friendship, disease transmission, and even terrorism, the concept - and the reality - of networks has come to pervade modern society. But what exactly is a network? What different types of networks are there? Why are they interesting, and what can they tell us? In recent years, scientists from a range of fields - including mathematics, physics, ...(展开全部)

From the Internet to networks of friendship, disease transmission, and even terrorism, the concept - and the reality - of networks has come to pervade modern society. But what exactly is a network? What different types of networks are there? Why are they interesting, and what can they tell us? In recent years, scientists from a range of fields - including mathematics, physics, ...(展开全部)

Winner of the 2010 Eliot Freidson Outstanding Publication Award (Medical Sociology Section, American Sociological Association) Magnetic Resonance Imaging, not so long ago a diagnostic tool of last resort, has become pervasive in the landscape of consumer medicine; images of the forbidding tubes, with their promises of revelation, surround us in commercials and on billboards. Ma...(展开全部)

This classic study probes the geometric interrelationships between art and life in discussions that range from Plato, Pythagoras, and Archimedes to modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and many other fascinating subjects. Includes 80 plates and 64 figures.

These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Pr...(展开全部)

These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Pr...(展开全部)

Complete, self-contained treatment of Teichmuller theory, providing the background needed for proving the theorems by WilliamThurston discussed in volume 2: the classification of homeomorphisms of surfaces, the topological characterization of rational maps, the hyperbolization theorem for 3-manifolds that fiber over the circle, and the hyperbolization theorem for Haken 3-manifo...(展开全部)

Complete, self-contained treatment of Teichmuller theory, providing the background needed for proving the theorems by WilliamThurston discussed in volume 2: the classification of homeomorphisms of surfaces, the topological characterization of rational maps, the hyperbolization theorem for 3-manifolds that fiber over the circle, and the hyperbolization theorem for Haken 3-manifo...(展开全部)

Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. After first providing an overview of the results, the authors develop the anal...(展开全部)