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An Elementary Introduction to N-Fold Groupoids: Contextualized by Elastic Composites and Metamaterials

An Elementary Introduction to N-Fold Groupoids: Contextualized by Elastic Composites and Metamaterials

Paperback

Series: Surveys and Tutorials in the Applied Mathematical Sciences, Book 19

ChemistryPhysics

ISBN10: 9819518687
ISBN13: 9789819518685
Publisher: Springer
Published: Jan 21 2026
Pages: 107
Weight: 0.41
Height: 0.26 Width: 6.14 Depth: 9.21
Language: English
This book introduces groupoids and n-fold groupoids as powerful mathematical tools that unify and generalize local and distant symmetries observed in physical systems. While these concepts are typically discussed in highly specialized literature, this volume makes them accessible to a broader audience by grounding them in concrete applications to solid mechanics, including composite materials and metamaterials. No prior knowledge of the theory or its applications is assumed. The chapters alternate between mathematical foundations and their realization in the behavior of elastic bodies, offering readers a guided and rewarding exploration. Throughout the book, examples and exercises support understanding and encourage hands-on engagement. This work opens a new perspective on symmetry in applied mathematics and physics, bridging abstract theory with practical modeling.

Also from

Epstein, Marcelo

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Physics