Further used literature:
Course task: In this course we learn about manifolds, i.e. locally Euclidean spaces, and how we transfer the anlysis, e.g. integration and differentiation, from R^n to smooth manifolds. The relation between manifolds and Euclidean spaces is like the relation between special relativity and Newton mechanics, i.e. global to local. Manifolds show up in many places, as for example as phase-spaces and energy surfaces (mechanics), as parametrized hypersufaces, space-time (physics), Lie groups, indifference surfaces (economics). .
Room and Time: S506 (IMS), Tuesdays and Fridays 15:00-16:40.
Problem sheets and lecture notes:
There will be given a problem sheets every week which can be found here as well as the lecture notes.
Prof. Daniel Skodllerack
Institute for Mathematical Sciences, Room S413
Mondays 19:00-20:00 and Sundays 19:00-20:00
Email address: dskodlerack at shanghaitech.edu.cn