Author : Andreas Kriegl,Peter W. Michor
Publisher : American Mathematical Soc.
Page : 631 pages
File Size : 54,8 Mb
Release : 1997
Category : Global analysis (Mathematics).
ISBN : 9780821807804
The Convenient Setting of Global Analysis by Andreas Kriegl,Peter W. Michor Pdf
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