Description

Book Synopsis
Focuses on differential calculus in infinite dimensions and those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. This work discusses the existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions and differential forms.

Table of Contents
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.

The Convenient Setting of Global Analysis

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A Hardback by P.w. Michor, Andreas Kriegl

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    Publisher: MP-AMM American Mathematical
    Publication Date: 9/30/1997 12:00:00 AM
    ISBN13: 9780821807804, 978-0821807804
    ISBN10: 0821807803
    Also in:
    Calculus and mathematical analysis Differential and Riemannian geometry

    Description

    Book Synopsis
    Focuses on differential calculus in infinite dimensions and those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. This work discusses the existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions and differential forms.

    Table of Contents
    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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