Park City Mathematics Institute 2010
Course Notes
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.

June 28 - July 16, 2010
Download Weeks 1, 2, and 3 [PDF file]

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© 2001 - 2014 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 program support provided by Math for America

This material is based upon work supported by the National Science Foundation under Grant No. 0314808 and Grant No. ESI-0554309. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.