Basic Concepts of Synthetic Differential Geometry / Texts in the Mathematical Sciences Bd.13 (PDF)
(Sprache: Englisch)
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...
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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.
Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.
Bibliographische Angaben
- Autor: R. Lavendhomme
- 2013, 1996, 320 Seiten, Englisch
- Verlag: Springer, New York
- ISBN-10: 1475745885
- ISBN-13: 9781475745887
- Erscheinungsdatum: 09.03.2013
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 19 MB
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