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This book explores the process of modeling complex systems in the widest sense of that term, drawing on examples from such diverse fields as ecology, epidemiology, sociology, seismology, as well as economics. It also provides the mathematical tools for studying the dynamics of these systems. Boccara takes a carefully inductive approach in defining what it means for a system to be "complex" (and at the same time addresses the equally elusive concept of emergent properties). This is the first text on the subject to draw comprehensive conclusions from such a wide range of analogous phenomena.
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From the reviews of the second edition:
"Boccara's approach is firmly based on dynamical systems theory, differential equations, and maps, with a very solid mathematical treatment, cast at times in terms of definitions and theorems. ... The book is very well suited for graduate or advanced undergraduate studies and comes with a problem and solution section at the end of every chapter. ... The book covers in any case a plethora of models and is highly recommendable for everybody wishing to attain a good knowledge of classical complex system theory." (Claudius Gros, SIAM Review, Vol. 53 (4), 2011)
"Boccara's approach is firmly based on dynamical systems theory, differential equations, and maps, with a very solid mathematical treatment, cast at times in terms of definitions and theorems. ... The book is very well suited for graduate or advanced undergraduate studies and comes with a problem and solution section at the end of every chapter. ... The book covers in any case a plethora of models and is highly recommendable for everybody wishing to attain a good knowledge of classical complex system theory." (Claudius Gros, SIAM Review, Vol. 53 (4), 2011)