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The Convenient Setting of Global Analysis Book PDF Summary

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 Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR

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The Convenient Setting of Global Analysis
  • Author : Andreas Kriegl
  • Release : 30 September 1997
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821807804
  • Genre : Mathematics
  • Total Page : 631 pages
  • Language : English
  • PDF File Size : 12,7 Mb

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