Solutions to Penrose's ‘Road To Reality’
Chapter 4: Magical complex numbers

§4.1 The magic number ‘i’
4.1 * Division of complex numbers
4.2 ** Basic rules of algebra for complex numbers
§4.2 Solving equations with complex numbers
4.3 * Square root of complex numbers
§4.3 Convergence of power series
4.4 * Geometric series (I)
4.5 * Geometric series (II)
Notes to §4.2
4.6 ** Fundamental theorem of algebra