Name: Basic Concepts of Synthetic Differential Geometry
Price: 269.0 AUD
Availability: click-8910566-13679530-1591455965481?url=https%3A%2F%2Fwww.ebooks.com%2Fcj.asp%3FIID%3D1270363%26fc%3DAU&cjsku=1270363
Author: R. Lavendhomme
ISBN: 9781475745887

Basic Concepts of Synthetic Differential Geometry

by R. Lavendhomme 2020-07-23 09:11:16

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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. Less

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