**IAS/Park City Mathematics Series**

Volume: 23;
2017;
327 pp;
Hardcover

MSC: Primary 82; 35; 74; 51; 52;

Print ISBN: 978-1-4704-2919-5

Product Code: PCMS/23

List Price: $104.00

Individual Member Price: $83.20

**Electronic ISBN: 978-1-4704-3749-7
Product Code: PCMS/23.E**

List Price: $104.00

Individual Member Price: $83.20

# Mathematics and Materials

Share this page *Edited by *
*Mark J. Bowick; David Kinderlehrer; Govind Menon; Charles Radin*

A co-publication of the AMS, IAS/Park City Mathematics Institute, and Society for Industrial and Applied Mathematics

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.

Titles in this series are co-published with the Institute
for Advanced Study/Park City Mathematics Institute. Members of the
Mathematical Association of America (MAA) and the National Council of
Teachers of Mathematics (NCTM) receive a 20% discount from list
price. *NOTE: This discount does not apply to volumes in this
series co-published with the Society for Industrial and Applied
Mathematics (SIAM).*

#### Readership

Graduate students and researchers interested in mathematical aspects of material sciences.