Riemann surfaces

Flowcharts for algebraic and geometric methods for Möbius transformations

Möbius transformations: updated booklet April 2017

Video clips on geometric method for Möbius transformations

Comments on FP2 test, October 2016

Click here for test paper and worked answers

FP2 test paper, October 2016, with worked answers

FP2 test paper, October 2016, on chapters 3 (further complex numbers), 2 (method of differences), and 1 (inequalities).

Click here for worked answers

FP2 “Further Complex Numbers” (chapter 3): Möbius transformations, De Moivre, etc.

Computer pictures of Möbius transformations

• How to get a computer to calculate Möbius transformations
• The z-diameter in line with the pole ⟼ a w-diameter
• w = ^(z−i)⁄_(z+i)
• w = ^(z+2)⁄_(z−2)
• What Molly Alice looks like, Möbius-transformed

Algebraic method for calculating Möbius transformations

Möbius transformations have a world of their own