9780792339410 - Basic Concepts of Synthetic Differential Geometry (Texts in the Mathematical Sciences, 13, Band 13) von Lavendhomme, R. (3 Ergebnisse)

Hardcover. Zustand: Gut. Dordrecht, Kluwer (1996). gr.8°. Some figs. XV, 320 p. Hardbound. (partly faded, one corner slightly bumped).- Kluwer Texts in the Mathematical Sciences, Volume 13.- Dedication on half-title, otherwise in good condition.

Zustand: New. In.

Buch. 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.