An Elementary Introduction to n-fold Groupoids: Contextualized by Elastic Composites and Metamaterials...

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Marcelo Epstein

An Elementary Introduction to n-fold Groupoids

Name: An Elementary Introduction to n-fold Groupoids
Price: 89.44 AUD
Availability: OutOfStock
ISBN: 9789819518685

Contextualized by Elastic Composites and Metamaterials

Marcelo Epstein

$111.95 $89.44

Paperback

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English

Springer Verlag, Singapore
21 January 2026

Mathematical physics; Quantum & theoretical chemistry

Series: Surveys and Tutorials in the Applied Mathematical Sciences

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.

By: Marcelo Epstein
Imprint: Springer Verlag, Singapore
Country of Publication: Singapore
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9789819518685
ISBN 10: 9819518687
Series: Surveys and Tutorials in the Applied Mathematical Sciences
Pages: 107
Publication Date: 21 January 2026
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Chapter 1 What is a groupoid?.- Chapter 2 A surgical-mechanical imagery.- Chapter 3 The material groupoid.- Chapter 4 Double groupoids.-Chapter 5 Binary composites.- Chapter 6 Hypercubes abd skeletons.- Chapter 7 Coarse n-groupoids.- Chapter 8 Material n-groupoids.

Marcelo Epstein is a professor at the University of Calgary, Canada, at the Department of Mechanical and Manufacturing Engineering.