Topology and Geometry for Physics [recurso electrónico] / by Helmut Eschrig.
Tipo de material: TextoSeries Lecture Notes in Physics, Volume 822 ; 822Editor: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011Descripción: XII, 389p. 60 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642147005Tema(s): Physics | Mathematical physics | Physics | Mathematical Methods in PhysicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 530.15 Clasificación LoC:QC5.53Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QC5.53 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 374832-2001 |
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Introduction -- Topology -- Manifolds -- Tensor Fields -- Integration, Homology and Cohomology -- Lie Groups -- Bundles and Connections -- Parallelism, Holonomy, Homotopy and (Co)homology -- Riemannian Geometry -- Compendium.
A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.
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