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Basic Concepts of Synthetic Differential Geometry

Springer US,
255,73 € Lieferbar in 5-7 Tagen
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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.


Titel: Basic Concepts of Synthetic Differential Geometry
Autoren/Herausgeber: R. Lavendhomme
Aus der Reihe: Texts in the Mathematical Sciences
Ausgabe: Softcover reprint of hardcover 1st ed. 1996

ISBN/EAN: 9781441947567

Seitenzahl: 320
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 522 g
Sprache: Englisch - Newsletter
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