Basic Concepts of Synthetic Differential Geometry: 13 (Texts in the Mathematical Sciences, 13) - Image 1

£145.07

Springer Basic Concepts of Synthetic Differential Geometry: 13 (Texts in the Mathematical Sciences, 13)

Name: Basic Concepts of Synthetic Differential Geometry: 13 (Texts in the Mathematical Sciences, 13)
Brand: Springer
Price: 143.96 GBP
Availability: InStock

Algebra

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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.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 1441947566
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 19 November 2010
Listed Since: 06 July 2010

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Springer Basic Concepts of Synthetic Differential Geometry: 13 (Texts in the Mathematical Sciences, 13)

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