advertisement

MATH CLUB ANNOUNCEMENT Cyclical Differentiable Groups Dr. Paul O’Hara, Math Dept., NEIU Friday, March 20, 2009 2:30-3:30 PM SCI-242 Abstract Usually cyclic groups are associated with modulo arithmetic or the n-roots of unity. In this talk we will present a cyclic group that can be generated by differentiating any element in the group (n-1) times. We will show that each element can be represented by a power series, and that the sum of all the elements is always the exponential function. In the process we will also establish a natural generalization of De Moivre's theorem and of Fermat’s last theorem. The talk presupposes only knowledge of trigonometry and the Taylor expansion. All faculty, student and staff are welcome to attend The Math Club schedule is now posted at www.neiu.edu/~mathclub