Complex Euclidean Space.- Examples and Properties of Rational Sphere Maps.- Monomial Sphere Maps.- Monomial Sphere Maps and Linear Programming.- Groups Associated with Holomorphic Mappings.- Elementary Complex and CR Geometry.- Geometric Properties of Rational Sphere Maps.- List of Open Problems.

John P. D'Angelo, PhD, is a Professor in the Department of Mathematics at the University of Illiniois at Urbana-Champaign, USA