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The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs)
P.w. Michor
€ 131.72
€ 117.97
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Description for The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs)
Hardcover. 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. Series: Mathematical Surveys and Monographs. Num Pages: 608 pages, Illustrations. BIC Classification: PBK; PBMP; PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 190 x 260 x 39. Weight in Grams: 1298.
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. The approach is simple: a mapping is called smooth if it maps smooth curves to smooth curves. Up to Frechet spaces, this notion of smoothness coincides with all known reasonable concepts. In the same spirit, calculus of holomorphic mappings (including Hartogs' theorem and holomorphic uniform boundedness theorems) and calculus of real analytic mappings are developed. Existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions, ... Read more
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. The approach is simple: a mapping is called smooth if it maps smooth curves to smooth curves. Up to Frechet spaces, this notion of smoothness coincides with all known reasonable concepts. In the same spirit, calculus of holomorphic mappings (including Hartogs' theorem and holomorphic uniform boundedness theorems) and calculus of real analytic mappings are developed. Existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions, ... Read more
Product Details
Format
Hardback
Publication date
1997
Publisher
American Mathematical Society
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
608
Place of Publication
Providence, United States
ISBN
9780821807804
SKU
V9780821807804
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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