By Andrei Ludu

The central
theme of this publication is the level to which the constitution of the loose dynamical
boundaries of a approach controls the evolution of the procedure as an entire. Applying
three orthogonal different types of pondering - mathematical, constructivist and
morphological, it illustrates those strategies utilizing functions to selected
problems from the social and lifestyles sciences, in addition to economics.

 In a broader
context, it introduces and experiences a few glossy mathematical techniques to the
science of complicated structures. ordinary modeling methods (based on non-linear
differential equations, dynamic structures, graph thought, mobile automata,
stochastic tactics, or info concept) are compatible for learning local
problems. besides the fact that they can not concurrently have in mind the entire different
facets and phenomena of a posh method, and new techniques are required to solve
the difficult challenge of correlations among phenomena at diversified levels
and hierarchies, their self-organization and memory-evolutive elements, the growth
of extra buildings and are eventually required to give an explanation for why and how
such advanced structures can reveal either robustness and flexibility.

  This graduate-level
text additionally addresses a broader interdisciplinary viewers, retaining the
mathematical point basically uniform in the course of the booklet, and related to only
basic parts from calculus, algebra, geometry and structures theory.

 

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Boundaries of a Complex World (Springer Series in by Andrei Ludu
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