Simplicity in Complexity: An Introduction to Complex Systems

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Simplicity Research Institute, Jan 28, 2015 - Science - 140 pages
How do scientists model crowd behaviour, epidemics, earthquakes or the internet?
 
What can we learn from the collective intelligence and adaptability
of an ant colony?
 
This book answers such questions by highlighting common themes in
the study of complex systems. 
 
Topics covered include self-organisation, emergence, agent-based
simulations, complex networks, phase plane plots, fractals, chaos,
measures of complexity, model building, and the scientific method. 
 
Explanations are simple and concise, with common misconceptions
clarified. Numerous exercises help enthusiasts consolidate their
understanding through peer learning.
 
Supplementary resources are at the companion websites
www.simplicitysg.net/books and www.facebook.com/simcomty. 
  


 

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Contents

Model Building
7
SelfOrganisation
19
AgentBased Models and Emergence
31
Networks
45
Societies
59
Dynamical Systems
71
Geometrical Complexity
95
Chaos
105
Quantifying Complexity
113
Index
123
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About the author (2015)

About the Author:
Dr. Rajesh Parwani tested the modules `Simplicity' and `Complexity'
for more than a decade on willing undergraduates in a multi-
disciplinary programme. This book summarises the content of
those experiments.

His other books are `Integrated Mathematics for Explorers' (with Adeline Ng) and `Real World Mathematics' (with Dr. W.K. Ng).

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