LEADER 02686nam  22005175  450 
001 996466715203316
005 20200704034350.0
010   $a3-642-14700-3
024 7 $a10.1007/978-3-642-14700-5
035   $a(CKB)2670000000065053
035   $a(SSID)ssj0000506059
035   $a(PQKBManifestationID)11341137
035   $a(PQKBTitleCode)TC0000506059
035   $a(PQKBWorkID)10514219
035   $a(PQKB)11684950
035   $a(DE-He213)978-3-642-14700-5
035   $a(MiAaPQ)EBC3066355
035   $a(PPN)149908741
035   $a(EXLCZ)992670000000065053
100   $a20110126d2011      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aTopology and Geometry for Physics$b[electronic resource] /$fby Helmut Eschrig
205   $a1st ed. 2011.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011.
215   $a1 online resource (XII, 390 p. 60 illus.) 
225 1 $aLecture Notes in Physics,$x0075-8450 ;$v822
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-14699-6 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Topology -- Manifolds -- Tensor Fields -- Integration, Homology and Cohomology -- Lie Groups -- Bundles and Connections -- Parallelism, Holonomy, Homotopy and (Co)homology -- Riemannian Geometry -- Compendium.
330   $aA concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.
410  0$aLecture Notes in Physics,$x0075-8450 ;$v822
606   $aPhysics
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
615  0$aPhysics.
615 14$aMathematical Methods in Physics.
676   $a530.15/4
700   $aEschrig$b Helmut$4aut$4http://id.loc.gov/vocabulary/relators/aut$0515334
906   $aBOOK
912   $a996466715203316
996   $aTopology and Geometry for Physics$9855619
997   $aUNISA