The Convenient Setting of Global Analysis (Mathematical Surveys & Monographs) - Hardcover

Kriegl, Andreas; Michor, Peter W.

 
9780821807804: The Convenient Setting of Global Analysis (Mathematical Surveys & Monographs)

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For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to FrTchet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation c. by Book News, Inc., Portland, Or.

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9781470478933: The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs, 53)

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ISBN 10:  1470478935 ISBN 13:  9781470478933
Verlag: American Mathematical Society, 2024
Softcover