| 期刊全稱 | Basic Concepts of Synthetic Differential Geometry | | 影響因子2023 | René Lavendhomme | | 視頻video | http://file.papertrans.cn/181/180993/180993.mp4 | | 學科分類 | Texts in the Mathematical Sciences | | 圖書封面 |  | | 影響因子 | Starting at an introductory level, the book leads rapidly toimportant 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 systematicaccount of structured Lie objects, such as Riemannian, symplectic, orPoisson Lie objects; the view of global Lie algebras as Lie algebrasof a Lie group in the synthetic sense; and lastly the syntheticconstruction of symplectic structure on the cotangent bundle ingeneral. Thus while the book is limited to a naive point of viewdeveloping synthetic differential geometry as a theory in itself, theauthor nevertheless treats somewhat advanced topics, which are classicin classical differential geometry but new in the synthetic context...Audience:. The book is suitable as an introduction to syntheticdifferential geometry for students as well as more qualifiedmathematicians. | | Pindex | Book 1996 |
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