01381nam a2200265Ia 4500001001300000003000600013007000300019008004100022020001800063020001500081035002200096040002200118050002200140100002400162245009500186260002900281300001600310504005000326520056300376650002800939650001400967942001200981952010700993999001501100on1251848258OCoLCta210520s2019    sz            000 0 eng d  a9783030284350  a3030284352  a(OCoLC)1251848258  aTULIBbengcTULIB  aQA641b.T454 20191 aTeleman, Neculai S.10aFrom differential geometry to non-commutative geometry and topology /cNeculai S. Teleman.  aCham :bSpringer,c2019.  axxi, 398 p.  aIncludes bibliographical reference and index.  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. 4aGeometry, Differential. 4aTopology.  2lcccBK  00104070aPNLIBbPNLIBcGENd2021-06-17oQA641 .T454 2019pPNLIB21062211r2021-06-17w2021-06-17yBK  c2398d2398