Analysis on manifolds

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Zie onder vakinhoud.

Linear algebra (WISB107 and WISB108), Calculus of several variables (WISB212), Introduction to topology (WISB 243) and Introduction to Groups and Rings (WISB124). See the courseplanner (cursusplanner.uu.nl) for the contents of those courses: select Faculty of Science and then the programme of the bachelor Mathematics of the most recent year.

• Book Lee - Introduction to Smooth Manifolds, gratis verkrijgbaar via de website van Springer. (This is for the students that want a book that does more things for them, e.g. more details. But please be aware that, as good/attractive as that sounds, having (too) many things done for you is not necessarily positive ...).
• Dictation There are lecture notes for the course, which will be made available on the webpage of the course: https://webspace.science.uu.nl/~crain101/manifolds-2021/ These will be a revised version of the lecture notes from the previous year- see https://webspace.science.uu.nl/~crain101/manifolds-2020/
• Book Guillemin, Pollack - Differential Topology - (This is for the students that want to get some more geometric, intuitive insight, with some nicer stories, not all details worked out but fun to read/consult e.g. during a train ride).