An Elementary Introduction to n-fold Groupoids

Contextualized by Elastic Composites and Metamaterials

Marcelo Epstein (Autor)

Buch | Softcover

107 Seiten

2026
Springer Verlag, Singapore
9789819518685 (ISBN)

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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.

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

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.

Erscheinungsdatum	29.11.2025
Reihe/Serie	Surveys and Tutorials in the Applied Mathematical Sciences
Zusatzinfo	1 Illustrations, black and white
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Chemie ► Physikalische Chemie
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Composites • Groups and groupoids • hypercubes • metamaterials • symmetry
ISBN-13	9789819518685 / 9789819518685
Zustand	Neuware