Six Sources of Collapse
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- Author: Charles R. Hadlock, Bentley College, Massachusetts
- Date Published: No date available
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
- format: Hardback
- isbn: 9781107040892
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Beginning with one of the most remarkable ecological collapses of recent times, that of the passenger pigeon, this book surveys collapse processes across the entire spectrum of the natural and man-made world. The reader is taken through extreme weather events, crashing financial markets and companies, the chaotic nature of Earth's orbit, revolutionary political change, the spread of disease and many other fascinating cases. The author's key observation is the consistent occurrence of one or more of six fundamental dynamics ('six sources of collapse'), all of which can be best described and investigated using fundamental mathematical concepts which include low probability events, group dynamics, evolutionary games, instability, nonlinearity and network effects. The exposition assumes a minimal mathematical background, but even professional mathematicians are likely to get rich insights from the range of examples. This book will also be of interest to readers in business and finance, engineering, ecology and political science.
Read more- A survey of collapse processes across the entire spectrum of the natural and man-made world
- The author presents a unified treatment of such extreme events by identifying the fundamental underlying mathematical processes
- The exposition assumes minimal mathematical background and so will be accessible to readers from a wide range of fields
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×Product details
- format: Hardback
- isbn: 9781107040892
- contains: 73 b/w illus. 4 colour illus. 6 tables
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
1. Introduction
2. Predicting unpredictable events
3. Group behavior: crowds, herds, and video games
4. Evolution and collapse: game playing in a changing world
5. Instability, oscillation, and feedback
6. Nonlinearity: invitation to chaos and catastrophe
7. It's all about networks
8. Putting it all together: looking at collapse phenomena in '6-D'
9. Endnotes.
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