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This introductory text explores the geometry of n-dimensional oriented surfaces in Rn+1, using vector field calculus as the main tool. It emphasizes global concepts early on, introducing differential forms and coordinate patches as needed. Designed for junior/senior level students, it builds on prior knowledge from linear algebra and multivariate calculus.
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Elementary Topics in Differential Geometry, J.A. Thorpe
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- Année de publication
- 1979
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