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Material Geometry: Groupoids In Continuum Mechanics

Name: Material Geometry: Groupoids In Continuum Mechanics
Brand: World Scientific Publishing Co Pte Ltd
SKU: 33558633
Price: 92.45 EUR
Availability: InStock
Author: Marcelo Epstein
ISBN: 9789811232541

Marcelo Epstein

Victor Manuel Jimenez

Language

English

Book Hardback

Libristo code: 33558633

Publishers World Scientific Publishing Co Pte Ltd, May 2021

This monograph is the first in which the theory of groupoids and algebroids is applied to the study... Full description

Libristo code: 33558633

225 b

92.45 €

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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.