| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA641.SPR FCT 81497 (Browse shelf) | 1 | Available |
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| QA641.SPR FCT 80994 Arithmetic and geometry around quantization | QA641.SPR FCT 81017 Representation theory and complex geometry | QA641.SPR FCT 81360 Recent trends in Lorentzian geometry | QA641.SPR FCT 81497 First steps in differential geometry | QA641.SPR FCT 81548 Ricci flow for shape analysis and surface registration | QA641.SPR FCT 81655 Elementary differential geometry | QA641.SPR FCT 81751 Geometric methods in physics |
Colocação: Online
Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.
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