02581nam 2200577 a 450 991014086000332120200520144314.09783642147005364214700310.1007/978-3-642-14700-5(CKB)2670000000065053(SSID)ssj0000506059(PQKBManifestationID)11341137(PQKBTitleCode)TC0000506059(PQKBWorkID)10514219(PQKB)11684950(DE-He213)978-3-642-14700-5(MiAaPQ)EBC3066355(PPN)149908741(EXLCZ)99267000000006505320110223d2011 uy 0engurnn|008mamaatxtccrTopology and geometry for physics /Helmut Eschrig1st ed. 2011.Berlin Springer20111 online resource (XII, 390 p. 60 illus.) Lecture notes in physics,0075-8450 ;v. 822Bibliographic Level Mode of Issuance: Monograph9783642146992 3642146996 Includes bibliographical references and index.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.Lecture notes in physics ;822.TopologyMathematical physicsTopology.Mathematical physics.530.15/4Eschrig H(Helmut)515334MiAaPQMiAaPQMiAaPQBOOK9910140860003321Topology and Geometry for Physics855619UNINA