000 02527nam a22004455i 4500
001 978-3-642-14700-5
003 DE-He213
005 20190213151337.0
007 cr nn 008mamaa
008 110126s2011 gw | s |||| 0|eng d
020 _a9783642147005
_9978-3-642-14700-5
024 7 _a10.1007/978-3-642-14700-5
_2doi
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
100 1 _aEschrig, Helmut.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aTopology and Geometry for Physics
_h[electronic resource] /
_cby Helmut Eschrig.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2011.
300 _aXII, 390 p. 60 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v822
505 0 _aIntroduction -- Topology -- Manifolds -- Tensor Fields -- Integration, Homology and Cohomology -- Lie Groups -- Bundles and Connections -- Parallelism, Holonomy, Homotopy and (Co)homology -- Riemannian Geometry -- Compendium.
520 _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.
650 0 _aMathematical physics.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642146992
776 0 8 _iPrinted edition:
_z9783642147012
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v822
856 4 0 _uhttps://doi.org/10.1007/978-3-642-14700-5
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c10345
_d10345