Basic Concepts of Synthetic Differential Geometry /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA :
Springer US,
1996.
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| Series: | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series ;
13. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xv, 320 pages) |
| ISBN: | 9781475745887 (electronic bk.) 1475745885 (electronic bk.) |
| ISSN: | 0927-4529 ; |