A rigorous treatment of topics such as topology, some algebra, linear algebra, real analysis and more advanced topics such as differential equations, Fourier analysis and maybe some functional analysis.
There will also be an emphasis on learning how to understand and write proofs.
The course will be pretty self-contained so there are no prerequisites, although some familiarity with calculus (what is a function?) and algebra (what is a group?) would help. There will on the other hand be a lot of work.
Laurent Berger. Here is my homepage. My office is 322 in the science center, my phone number is 5-9560, and the best way to get in touch with me is by email, at laurent@math.harvard.edu.
To be determined. Instead of coming to see me it is more efficient to send me an email at laurent@math.harvard.edu. I will then post the answer to your anonymised email on this virtual office hours webpage.
There is no textbook assigned for 25a. Instead, I will give numerous exercises and also indicate references of books that you can consult in the library.
To be determined.
To be determined.
Attendance is not mandatory, but it is expected of you.