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Barnes and Noble

Material Geometry: Groupoids Continuum Mechanics

Current price: $88.00
Material Geometry: Groupoids Continuum Mechanics
Material Geometry: Groupoids Continuum Mechanics

Barnes and Noble

Material Geometry: Groupoids Continuum Mechanics

Current price: $88.00
Loading Inventory...

Size: Hardcover

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This monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and homogeneity of continuous media. It is a further step in the application of differential geometry to the mechanics of continua, initiated years ago with the introduction of the theory of G-structures, in which the group G denotes the group of material symmetries, to study smoothly uniform materials.The new approach presented in this book goes much further by being much more general. It is not a generalization per se, but rather a natural way of considering the algebraic-geometric structure induced by the so-called material isomorphisms. This approach has allowed us to encompass non-uniform materials and discover new properties of uniformity and homogeneity that certain material bodies can possess, thus opening a new area in the discipline.

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