(b) Show that R) (e) What is )? hs. 4.12. Compute fqu'l dz 4.13. Show, that, zas-0 for any closed...
(b) Show that R) (e) What is )? hs. 4.12. Compute fqu'l dz 4.13. Show, that, zas-0 for any closed piecewise smooth γ and any integer "t-1. (if" is negative, assume that γ does not pass through the origin, since otherwise the integral is not defined.) 4·1 4, Exercise 4.13 excluded " =-1 for a good reason: Exercise 4.4 gives a coun- terexample. Generalizing these, if m is any integer, find a closed path y so that 4.15. Taking the previous two exercises one step further, fix zo e C and let γ be a simple, closed, positively oriented, piecewise smooth path such that zo is inside y. Show that, for any integer n
(b) Show that R) (e) What is )? hs. 4.12. Compute fqu'l dz 4.13. Show, that, zas-0 for any closed piecewise smooth γ and any integer "t-1. (if" is negative, assume that γ does not pass through the origin, since otherwise the integral is not defined.) 4·1 4, Exercise 4.13 excluded " =-1 for a good reason: Exercise 4.4 gives a coun- terexample. Generalizing these, if m is any integer, find a closed path y so that 4.15. Taking the previous two exercises one step further, fix zo e C and let γ be a simple, closed, positively oriented, piecewise smooth path such that zo is inside y. Show that, for any integer n