شش منبع فروپاشی: دیدگاه یک ریاضیدان درباره اینکه چگونه چیزها می‌توانند در چشم برهم زدنی فروپاشند

Beginning with one of the most remarkable ecological collapses of recent time, that of the passenger pigeon, Hadlock goes on to survey collapse processes across the entire spectrum of the natural and man-made world. He takes us through extreme weather events, technological disasters, evolutionary processes, crashing markets and companies, the chaotic nature of Earth's orbit, revolutionary political change, the spread and elimination of disease, and many other fascinating cases. His key thesis is that one or more of six fundamental dynamics consistently show up across this wide range. These "six sources of collapse" can all be best described and investigated using fundamental mathematical concepts. They include low probability events, group dynamics, evolutionary games, instability, nonlinearity, and network effects, all of which are explained in readily understandable terms. Almost the entirety of the book can be understood by readers with a minimal mathematical background, but even professional mathematicians are likely to get rich insights from the range of examples. The author tells his story with a warmly personal tone and weaves in many of his own experiences, whether from his consulting career of racing around the world trying to head off industrial disasters to his story of watching collapse after collapse in the evolution of an ecosystem on his New Hampshire farm. Creative teachers could use this book for anything from a liberal arts math course to a senior capstone seminar, and one reviewer suggested that it should be required reading for any mathematics graduate student heading off into a teaching career. This book will also be of interest to readers in the fields under discussion, such as business, engineering, ecology, political science, and others. Beginning With One Of The Most Remarkable Ecological Collapses Of Recent Time, That Of The Passenger Pigeon, Hadlock Goes On To Survey Collapse Processes Across The Entire Spectrum Of The Natural And Man-made World. He Takes Us Through Extreme Weather Events, Technological Disasters, Evolutionary Processes, Crashing Markets And Companies, The Chaotic Nature Of Earth's Orbit, Revolutionary Political Change, The Spread And Elimination Of Disease, And Many Other Fascinating Cases. His Key Thesis Is That One Or More Of Six Fundamental Dynamics Consistently Show Up Across This Wide Range. These Six Sources Of Collapse Can All Be Best Described And Investigated Using Fundamental Mathematical Concepts. They Include Low Probability Events, Group Dynamics, Evolutionary Games, Instability, Nonlinearity, And Network Effects, All Of Which Are Explained In Readily Understandable Terms. Almost The Entirety Of The Book Can Be Understood By Readers With A Minimal Mathematical Background, But Even Professional Mathematicians Are Likely To Get Rich Insights From The Range Of Examples. The Author Tells His Story With A Warmly Personal Tone And Weaves In Many Of His Own Experiences, Whether From His Consulting Career Of Racing Around The World Trying To Head Off Industrial Disasters To His Story Of Watching Collapse After Collapse In The Evolution Of An Ecosystem On His New Hampshire Farm. -- Publisher's Description. Introduction -- Predicting Unpredictable Events -- Group Behavior: Crowds, Herds, And Video Games -- Evolution And Collapse: Game Playing In A Changing World -- Instability, Oscillation, And Feedback -- Nonlinearity: Invitation To Chaos And Catastrophe -- It's All About Networks -- Putting It All Together: Looking At Collapse Phenomena In 6-d. Charles R. Hadlock. Includes Bibliographical References (p. 189-199) And Index. 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. None None Introduction Predicting Unpredictable Events Group Behavior: Crowds, Herds, and Video Games Evolution and Collapse: Game Playing in a Changing World Instability, Oscillation, and Feedback Nonlinearity: Invitation to Chaos and Catastrophe It’s All About Networks Putting It All Together: Looking at Collapse Phenomena in '6-D" None None None