Methods of Geometric Analysis in Extension and Trace Problems is popular PDF and ePub book, written by Alexander Brudnyi in 2011-10-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Methods of Geometric Analysis in Extension and Trace Problems can be Read Online from any device for your convenience.
Methods of Geometric Analysis in Extension and Trace Problems Book PDF Summary
The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make the book accessible to a wide audience.
Detail Book of Methods of Geometric Analysis in Extension and Trace Problems PDF
- Author : Alexander Brudnyi
- Release : 07 October 2011
- Publisher : Springer Science & Business Media
- ISBN : 9783034802123
- Genre : Mathematics
- Total Page : 431 pages
- Language : English
- PDF File Size : 14,8 Mb
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