000 | 02480nam a22004455i 4500 | ||
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001 | 978-3-030-28433-6 | ||
003 | DE-He213 | ||
005 | 20200812131700.0 | ||
007 | cr nn 008mamaa | ||
008 | 191110s2019 gw | s |||| 0|eng d | ||
020 |
_a9783030284336 _9978-3-030-28433-6 |
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024 | 7 |
_a10.1007/978-3-030-28433-6 _2doi |
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040 | _cCUS | ||
050 | 4 | _aQA641-670 | |
072 | 7 |
_aPBMP _2bicssc |
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072 | 7 |
_aMAT012030 _2bisacsh |
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072 | 7 |
_aPBMP _2thema |
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082 | 0 | 4 |
_a516.36 _223 |
100 | 1 |
_aTeleman, Neculai S. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aFrom Differential Geometry to Non-commutative Geometry and Topology _h[electronic resource] / _cby Neculai S. Teleman. |
250 | _a1st ed. 2019. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2019. |
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300 |
_aXXII, 398 p. 12 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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505 | 0 | _a1. Part I Spaces, bundles and characteristic classes in differential geometry -- 2. Part II Non-commutative differential geometry -- 3. Part III Index Theorems -- 4. Part IV Prospects in Index Theory. Part V -- 5. Non-commutative topology. | |
520 | _aThis book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical differential geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology. | ||
650 | 0 | _aDifferential geometry. | |
650 | 0 | _aManifolds (Mathematics). | |
650 | 0 | _aComplex manifolds. | |
650 | 1 | 4 |
_aDifferential Geometry. _0https://scigraph.springernature.com/ontologies/product-market-codes/M21022 |
650 | 2 | 4 |
_aManifolds and Cell Complexes (incl. Diff.Topology). _0https://scigraph.springernature.com/ontologies/product-market-codes/M28027 |
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-030-28433-6 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-SXMS | ||
942 | _cEBK | ||
999 |
_c205972 _d205972 |