Introduction Calculus of smooth mappings Calculus of holomorphic and real analytic mappings Partitions of unity Smoothly realcompact spaces Extensions and liftings of mappings Infinite dimensional manifolds Calculus on infinite dimensional manifolds Infinite dimensional differential geometry Manifolds of mappings Further applications References Index.

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The Convenient Setting of Global Analysis

Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

This fifth edition continues the tradition of excellence with thorough coverage of recent trends and changes in the clinical diagnosis and treatment of CNS diseases, detailed relevant neuropathologic, genetic, and clinical findings, and how those changes relate to MRI findings. It remains a comprehensive, internationally acclaimed, state-of-the-art reference for all who have an interest in neuroradiology – trainees to experts in the field, basic science researchers, and clinicians.

Magnetic Resonance Imaging of the Brain and Spine

Complete discrete valuation fields Extensions of discrete valuation fields The norm map Local class field theory I Local class field theory II The group of units of local number fields Explicit formulas for the Hilbert symbol Explicit formulas for the Hilbert pairing on formal groups The Milnor $K$-groups of a local field Bibliography List of notations Index

Local Fields and Their Extensions

Manifolds of differentiable mappings

Geometry of Classical Fields

Convergence spaces.- Function algebras.- Vector space topologies on C(X) for which the evaluation map is continuous.- c-embedded spaces.- Universal representations of convergence algebras and some general remarks of function spaces.- Functional analytic description of some types of convergence spaces.

Ernst Binz

Papers

Geometry of Classical Fields

Continuous Convergence on C (X)

A subgroup theorem for free products of pro-finite groups

The manifold of embeddings of a closed manifold

Funktionenräume in der Kategorie der Limesräume