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This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated. The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students. These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed.

Mathematics. --- Partial Differential Equations. --- Mathematical Applications in the Physical Sciences. --- Differential Geometry. --- Mathematical Methods in Physics. --- Continuum Mechanics and Mechanics of Materials. --- Materials Science, general. --- Differential equations, partial. --- Global differential geometry. --- Mathematical physics. --- Materials. --- Mathématiques --- Géométrie différentielle globale --- Physique mathématique --- Matériaux --- Continuum mechanics. --- Geometry, Differential. --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Mechanics of continua --- Differential geometry --- Partial differential equations. --- Differential geometry. --- Physics. --- Materials science. --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Material science --- Physical sciences --- Natural philosophy --- Philosophy, Natural --- Dynamics --- Physical mathematics --- Physics --- Partial differential equations --- Math --- Science --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Quantum theory --- Geometry, Differential --- Materials

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This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated. The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students. These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed.

Differential geometry. Global analysis --- Partial differential equations --- Mathematics --- Mathematical physics --- Classical mechanics. Field theory --- Solid state physics --- Physics --- Materials sciences --- Applied physical engineering --- differentiaalvergelijkingen --- materiaalkennis --- differentiaal geometrie --- toegepaste mechanica --- wiskunde --- fysica --- mechanica

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Mathematics