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

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 method as an entire. Applying
three orthogonal sorts of considering - mathematical, constructivist and
morphological, it illustrates those innovations utilizing functions to selected
problems from the social and existence sciences, in addition to economics.

 In a broader
context, it introduces and stories a few smooth mathematical methods to the
science of advanced structures. general modeling techniques (based on non-linear
differential equations, dynamic platforms, graph concept, mobile automata,
stochastic approaches, or details idea) are compatible for learning local
problems. notwithstanding they can't concurrently take note of all of the different
facets and phenomena of a posh procedure, and new methods are required to solve
the difficult challenge of correlations among phenomena at diversified levels
and hierarchies, their self-organization and memory-evolutive points, the growth
of extra constructions and are finally required to provide an explanation for why and how
such advanced structures can exhibit either robustness and flexibility.

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

 

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