part Part I Univalent functions -- chapter 1 Elementary properties of univalent functions -- chapter 2 Subclasses of univalent functions in the unit disc -- chapter 3 The Loewner theory -- chapter 4 Bloch functions and the Bloch constant -- chapter 5 Linear invariance in the unit disc -- part Part II Univalent mappings in several complex variables and complex Banach spaces -- chapter 6 Univalence in several complex variables -- chapter 7 Growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces -- chapter 8 Loewner chains in several complex variables -- chapter 9 Bloch constant problems in several complex variables -- chapter 10 Linear invariance in several complex variables -- chapter 11 Univalent mappings and the Roper-Suffridge extension operator.