02686nam 22005175 450 99646671520331620200704034350.03-642-14700-310.1007/978-3-642-14700-5(CKB)2670000000065053(SSID)ssj0000506059(PQKBManifestationID)11341137(PQKBTitleCode)TC0000506059(PQKBWorkID)10514219(PQKB)11684950(DE-He213)978-3-642-14700-5(MiAaPQ)EBC3066355(PPN)149908741(EXLCZ)99267000000006505320110126d2011 u| 0engurnn|008mamaatxtccrTopology and Geometry for Physics[electronic resource] /by Helmut Eschrig1st ed. 2011.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2011.1 online resource (XII, 390 p. 60 illus.) Lecture Notes in Physics,0075-8450 ;822Bibliographic Level Mode of Issuance: Monograph3-642-14699-6 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,0075-8450 ;822PhysicsMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Physics.Mathematical Methods in Physics.530.15/4Eschrig Helmutauthttp://id.loc.gov/vocabulary/relators/aut515334BOOK996466715203316Topology and Geometry for Physics855619UNISA