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An Introduction to Complex Systems - Society, Ecology, and Nonlinear Dynamics (Hardcover, 2nd ed. 2021)
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An Introduction to Complex Systems - Society, Ecology, and Nonlinear Dynamics (Hardcover, 2nd ed. 2021)
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Complex Systems lie at the heart of a variety of large-scale
phenomena of great significance - global warming, ice ages, water,
poverty, pandemics - and this text uses these case studies as
motivations and contexts to explore complex systems and related
topics of nonlinear dynamics and power-law statistics. Although
detailed mathematical descriptions of these topics can be
challenging, the consequences of a system being nonlinear,
power-law, or complex are in fact quite accessible. This book
blends a tutorial approach to the mathematical aspects of complex
systems together with a complementary narrative on the
global/ecological/societal implications of such systems. Nearly all
engineering undergraduate courses focus on mathematics and systems
which are small scale, linear, and Gaussian. Unfortunately there is
not a single large-scale ecological or social phenomenon that is
scalar, linear, and Gaussian. This book offers insights to better
understand the large-scale problems facing the world and to realize
that these cannot be solved by a single, narrow academic field or
perspective. Instead, the book seeks to emphasize understanding,
concepts, and ideas, in a way that is mathematically rigorous, so
that the concepts do not feel vague, but not so technical that the
mathematics get in the way. The book is intended for students in
technical domains such as engineering, computer science, physics,
mathematics, and environmental studies. This second edition adds
nine new examples, over 30 additional problems, 50 additional
figures, and three new chapters offering a detailed study of system
decoupling, extensive solutions to chapter problems, and a timely
discussion on the complex systems challenges associated with
COVID-19 and pandemics in general.
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