The theory of smooth manifolds deals with objects which locally look like Euclidean spaces (e.g. smooth curves and surfaces). It plays an important role in many areas of modern mathematics and physics, since most notions initially defined for Euclidean spaces can be easily generalized to their look-alikes. In particular, almost all notions and theorems of multivariable calculus generalize to smooth manifolds. This course is an introduction to smooth manifolds, smooth maps between them and differential and integral calculus on manifolds.
- Teacher: מיכאל פוליאק