01
Complex functions and analyticity
Why is complex differentiability so much stronger than real?
Advanced · Module 12
Complex Analysis
The most surprisingly beautiful subject in mathematics: assume differentiability once in the complex plane and infinitely many consequences follow.
By the end of this module
You can use complex methods to solve real problems that resist real methods entirely.
0%0 / 3 complete
02
Contour integration and the residue theorem
How does a loop in the plane evaluate an integral on the line?
03
Analytic continuation and the zeta function
In what sense does 1+2+3+... equal −1/12?
Quiz
Not written yet for this module. The lectures above are complete and the module still counts toward your progress.