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OverviewStarting at an introductory level, this work leads to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such 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. Full Product DetailsAuthor: R. LavendhommePublisher: Springer Imprint: Springer Edition: 1996 ed. Volume: 13 Dimensions: Width: 15.60cm , Height: 2.00cm , Length: 23.40cm Weight: 1.440kg ISBN: 9780792339410ISBN 10: 079233941 Pages: 320 Publication Date: 29 February 1996 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1 Differential calculus and integrals.- 2 Weil algebras and infinitesimal linearity.- 3 Tangency.- 4 Differential forms.- 5 Connections.- 6 Global actions.- 7 On the algebra of the geometry of mechanics.- 8 Note on toposes and models of S.D.G..ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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