Collective behavior in systems with many components, blow-ups
with emergence of microstructures are proofs of the double,
continuum and atomistic, nature of macroscopic systems, an issue
which has always intrigued scientists and philosophers. Modern
technologies have made the question more actual and concrete with
recent, remarkable progresses also from a mathematical point of
view. The book focuses on the links connecting statistical and
continuum mechanics and, starting from elementary introductions to
both theories, it leads to actual research themes. Mathematical
techniques and methods from probability, calculus of variations and
PDE are discussed at length.
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