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Articles in this volume are based on lectures presented at the Park
City summer school on ``Mathematics and Materials'' in July 2014.
The central theme is a description of material behavior that is
rooted in statistical mechanics. While many presentations of
mathematical problems in materials science begin with continuum
mechanics, this volume takes an alternate approach. All the
lectures present unique pedagogical introductions to the rich
variety of material behavior that emerges from the interplay of
geometry and statistical mechanics. The topics include the
order-disorder transition in many geometric models of materials
including nonlinear elasticity, sphere packings, granular
materials, liquid crystals, and the emerging field of synthetic
self-assembly. Several lectures touch on discrete geometry
(especially packing) and statistical mechanics. The problems
discussed in this book have an immediate mathematical appeal and
are of increasing importance in applications, but are not as widely
known as they should be to mathematicians interested in materials
science. The volume will be of interest to graduate students and
researchers in analysis and partial differential equations,
continuum mechanics, condensed matter physics, discrete geometry,
and mathematical physics.
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