Basic Concepts of Synthetic Differential Geometry For Nook

Download Book Title : Basic Concepts of Synthetic Differential Geometry

(Format : djvu , Language : English)
Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.



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Author(s) Book :R. Lavendhomme
Publish Year :1996 Publisher : Springer
You can check by ISBN10/ISBN13 : 079233941X/9780792339410

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