Diffeology is popular PDF and ePub book, written by Patrick Iglesias-Zemmour in 2013-04-09, 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, Diffeology can be Read Online from any device for your convenience.
Diffeology Book PDF Summary
Diffeology is an extension of differential geometry. With a minimal set of axioms, diffeology allows us to deal simply but rigorously with objects which do not fall within the usual field of differential geometry: quotients of manifolds (even non-Hausdorff), spaces of functions, groups of diffeomorphisms, etc. The category of diffeology objects is stable under standard set-theoretic operations, such as quotients, products, co-products, subsets, limits, and co-limits. With its right balance between rigor and simplicity, diffeology can be a good framework for many problems that appear in various areas of physics. Actually, the book lays the foundations of the main fields of differential geometry used in theoretical physics: differentiability, Cartan differential calculus, homology and cohomology, diffeological groups, fiber bundles, and connections. The book ends with an open program on symplectic diffeology, a rich field of application of the theory. Many exercises with solutions make this book appropriate for learning the subject.
Detail Book of Diffeology PDF
- Author : Patrick Iglesias-Zemmour
- Release : 09 April 2013
- Publisher : American Mathematical Soc.
- ISBN : 9780821891315
- Genre : Mathematics
- Total Page : 439 pages
- Language : English
- PDF File Size : 12,9 Mb
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