TY - BOOK AU - Teleman,Neculai S. TI - From differential geometry to non-commutative geometry and topology SN - 9783030284350 AV - QA641 .T454 2019 PY - 2019/// CY - Cham PB - Springer KW - Geometry, Differential KW - Topology N1 - Includes bibliographical reference and index N2 - 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 ER -