Chapter 3 - Möbius Transformations and Inversion

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5 I just tidied up the proof a bit 1st April 2015

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11 Added some more explanation on 24 June 2015

Exercise 12

Exercise 13

Exercise 14 slight change of notation to avoid confusion 15/07/15

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Exercise 15

Exercise 16

Exercise 17 Made figure 2 consistent with figure 1. 14/08/15

Exercise 18 Added some vertical bars I had forgotten in 2 places 28/4/15

Exercise 19 Corrected a couple of typos 6/9/2015

Exercise 20 All three parts now. 10/Sept/2015. Corrected 25/9/2015 (see blog)

Exercise 21

Exercise 22

Exercise 23

Exercise 24

Exercise 25

Exercise 26

Exercise 27