01262nam a2200253Ia 4500 on1251848258 OCoLC ta 210520s2019 sz 000 0 eng d 9783030284350 3030284352 (OCoLC)1251848258 TULIB eng TULIB QA641 .T454 2019 Teleman, Neculai S. From differential geometry to non-commutative geometry and topology / Neculai S. Teleman. Cham : Springer, 2019. xxi, 398 p. Includes bibliographical reference and index. This 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. Geometry, Differential. Topology. lcc BK 0 0 0 0 PNLIB PNLIB GEN 2021-06-17 QA641 .T454 2019 PNLIB21062211 2021-06-17 2021-06-17 BK 2398 2398