Ron Bannon - Deterministic Uncertainties(or Basic Stochastic Simulation).pdf

Deterministic Uncertainties
Or Basic Stochastic Simulation in 197 hours
by Ron Bannon
Other Contributors.
Version , June 19, 2006
ii
Copyright © 2002-2006 Ron Bannon and Contributers. All rights reserved.
This document is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABIL-
ITY or FITNESS FOR A PARTICULAR PURPOSE.
Thank you!
Much of the material used in this introductory es from an interest
in improving teaching and learning mathematics, especially as it relates to
randomness. Contact me if you want to help, I especially e oppor-
tunities to share this information with students and teachers everywhere.
Ideally, I would like to offer this material as a summer course in a school or
corporate internship setting.
Your Name Here <email>
Place of Employement
iv Thank you!
The following individuals helped with corrections, suggestions and material
to improve this text. They put in a big effort to help me get this document
into its present shape. I would like to sincerely thank all of them. Naturally,
all the mistakes you’ll find in this text are mine.
Susan Gaulden, Mark Galit.
Preface
Knowing what to expect when dealing with chance is important, and some
of us are better at seeing the potential risks than are others. Even the most
mathematically talented among us may make stupid decisions about poten-
tial risks, usually supported by intuition but almost always unsupported in
hindsight. It’s our intuition that needs a boost, and so I believe we need a
viable way to accelerate our intuitive understanding of chance. Throughout
this text, I will try to present a case for using mathematical simulation to
clear a path to possible truth, but never absolute truth. So I am hopeful
that this text along with my guidance will provide a very mild introduc-
tion to mathematical simulation, but in no way is meant to replace more
rigorous courses on the subject. In