| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA613 | QA613. FCT 96210 (Browse shelf) | 1 | Available |
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| QA613 | QA613. FCT 95775 An introduction to manifolds | QA613 | QA613. FCT 96142 Diffeomorphisms of elliptic 3-manifolds | QA613 | QA613. FCT 96189 The geometry of Minkowski spacetime | QA613 | QA613. FCT 96210 Differentiable manifolds | QA613 | QA613. FCT 97300 Topology and geometric group theory | QA613 | QA613. FCT 98130 Generic coarse geometry of leaves | QA613.SPR FCT An introduction to quantum and vassiliev knot invariants |
Colocação: Online
This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work’s first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics. Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics.
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