9781441947567 - Basic Concepts of Synthetic Differential Geometry (Texts in the Mathematical Sciences, Band 13) von Lavendhomme, R. (4 Ergebnisse)

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Taschenbuch. Zustand: Neu. Basic Concepts of Synthetic Differential Geometry | R. Lavendhomme | Taschenbuch | Texts in the Mathematical Sciences | xv | Englisch | 2010 | Humana | EAN 9781441947567 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.

Paperback. Zustand: Brand New. 336 pages. 9.00x6.25x0.76 inches. In Stock.