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About the Authors Titu Andreescu received his BA, MS, and PhD from the West University of Timisoara, Romania. The topic of his doctoral dissertation was “Research on Diophantine Analysis and Applications.” Professor Andreescu currently teaches at the University of Texas at Dallas. Titu is past chairman of the USA Mathematical Olympiad, served as director of the MAA American Mathematics Competitions (1998–2003), coach of the USA International Mathematical Olympiad Team (IMO) for 10 years (1993–2002), Director of the Mathematical Olympiad Summer Program (1995–2002) and leader of the USA IMO Team (1995–2002). In 2002 Titu was elected member of the IMO Advisory Board,. | Complex Numbers Titu Andreescu Dorin Andrica Birkhäuser About the Authors Titu Andreescu received his BA MS and PhD from the West University of Timisoara Romania. The topic of his doctoral dissertation was Research on Diophantine Analysis and Applications. Professor Andreescu currently teaches at the University of Texas at Dallas. Titu is past chairman of the USA Mathematical Olympiad served as director of the MAA American Mathematics Competitions 1998-2003 coach of the USA International Mathematical Olympiad Team IMO for 10 years 1993-2002 Director of the Mathematical Olympiad Summer Program 1995-2002 and leader of the USA IMO Team 1995-2002 . In 2002 Titu was elected member of the IMO Advisory Board the governing body of the world s most prestigious mathematics competition. Titu received the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching from the MAA in 1994 and a Certificate of Appreciation from the president of the MAA in 1995 for his outstanding service as coach of the Mathematical Olympiad Summer Program in preparing the US team for its perfect performance in Hong Kong at the 1994 IMO. Titu s contributions to numerous textbooks and problem books are recognized worldwide. Dorin Andrica received his PhD in 1992 from Babe -Bolyai University in Cluj-Napoca Romania with a thesis on critical points and applications to the geometry of differentiable submanifolds. Professor Andrica has been chairman of the Department of Geometry at Babe -Bolyai since 1995. Dorin has written and contributed to numerous mathematics textbooks problem books articles and scientific papers at various levels. Dorin is an invited lecturer at university conferences around the world Austria Bulgaria Czech Republic Egypt France Germany Greece the Netherlands Serbia Turkey and USA. He is a member of the Romanian Committee for the Mathematics Olympiad and member of editorial boards of several international journals. Dorin has been a regular faculty member at the .