MATHEMATICS AND STATISTICS COLLOQUIUM SERIES
Dr. James Foran
Professor Emeritus, University of Missouri-Kansas City Thursday, MARCH 7th 11:30 AM – 12:30 PM in SCP-229“Constructing Continuous Functions”
Abstract: This talk will be concerned with continuous real valued functions defined on the unit interval. A general geometric construction technique for continuous real valued functions will be introduced and then it will be used to create simple and intuitively clear examples of functions with seemingly contradictory properties. Various properties of functions will be considered and the graphs will be visually evident along with the properties claimed for the functions.
Biography: James Foran is a professor emeritus living in Kansas City. He received his B.A. at Marquette University in 1965, M.A. in 1967 and Ph.D. in 1973 from the University of Wisconsin-Milwaukee. He was a professor at the University of Missouri-Kansas City from then until 2003. He is the author of 45 research papers, and two books entitled “Fundamentals of Real Analysis” and “Trigonometry with a review of Algebra and Geometry” . He was editor of “The Real Analysis Exchange” from its inception in 1976 until 2002. He was thesis advisor for six students who received their Ph.D from the University of Missouri-Kansas City. A complete set of Calculus videos by Dr. Foran is available on youtube.