Park City Mathematics Institute 2010
Bowen Kerins and Darryl Yong
Over and Over
Pick a positive number, take the reciprocal and add 1. Then take the reciprocal of that and add 1. Then again, and again, until.... Many mathematical problems can be explored and solved through the study of iteration. This course will explore how iterative processes can be used to investigate Fibonacci numbers, image processing, the calculation of square roots, and more. No specific mathematical prerequisites are necessary, but by the end of three weeks, participants will have a useful toolkit of techniques that can be applied to many different areas.
NOTE: As you select any of the links listed above, they will download as PDF files. To open PDF files use Adobe Acrobat Reader, available free from Adobe:
PCMI@MathForum Home || IAS/PCMI Home
© 2001 - 2015 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540.
Send questions or comments to: Suzanne Alejandre and Jim King
With major funding from Math for America
With generous support from Robert and Lynn Johnston