The Monty Hall Problem
The Remarkable Story of Math's Most Contentious Brain Teaser
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Product details:
- Edition number The Remarkable Story of Math's Most Contentious Brain Teaser
- Publisher OUP USA
- Date of Publication 11 June 2009
- ISBN 9780195367898
- Binding Hardback
- No. of pages208 pages
- Size 247x159x21 mm
- Weight 476 g
- Language English
- Illustrations 2 black and white line illustrations 0
Categories
Short description:
This is the first book to provide a comprehensive treatment of the Monty Hall Problem, one of the most famous brainteasers in mathematics. Its deceptive simplicity has fooled countless mathematicians. In addition to a thorough mathematical discussion of the problem, this book surveys the professional literature in a variety of disciplines.
MoreLong description:
Mathematicians call it the Monty Hall Problem, and it is one of the most interesting mathematical brain teasers of recent times. Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, always choosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum of mathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issues and has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.
This book is much more comprehensive and wide-ranging than the many articles on the subject that have dribbled out.
Table of Contents:
Preface
Acknowledgments
Ancestral Monty
Classical Monty
Bayesian Monty
Progressive Monty
Miscellaneous Monty
Cognitive Monty
Philosophical Monty
Final Monty
Appendix: A Gallery of Variations
Bibliography
Index
