Titlebook: Topology and Geometry for Physics; Helmut Eschrig Book 2011 Springer-Verlag Berlin Heidelberg 2011 (Co)homology.Exterior calculus.Fiber bu

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Helmut Eschrigsms underlying plant-microbe interaction and to discuss the role of species identity and diversity for both microorganisms and plants. For each group (plant growth promoting bacteria, mycorrhiza, other beneficial fungi) we highlight the latest developments and promising future directions. At the end

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Helmut Eschrigles of C, N, P and S are intimately tied to each other through biological productivity and subsequently to problems of global environmental change. These problems may be the most challenging facing humanity in the 21 st century. In the broadest sense, "global change" encompasses both changes to the

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0075-8450 l concepts for theoretical physics.Didactically well writtenA concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provide

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Bundles and Connections,es form a special category of manifolds which locally behave like a topological product of manifolds, but which again are provided with additional specific structure to allow for a rich content of theory. Their global topology may be as complex as that of any manifold; in fact, fiber bundles are build on any type of manifold.

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Book 2011s, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.