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Focusing on the theory of smooth manifolds, this graduate-level textbook aims to equip students with essential tools for mathematical and scientific applications. Key topics include smooth structures, tangent vectors, vector bundles, and differential forms, among others. The book emphasizes a concrete approach, incorporating visual aids and intuitive discussions to enhance geometric understanding of abstract concepts, while leveraging modern mathematical techniques.
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Introduction to Smooth Manifolds, John Lee
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- Année de publication
- 2014
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