Epstein An Elementary Introduction to n-fold Groupoids

Contextualized by Elastic Composites and Metamaterials
Erscheinungsjahr 2026
ISBN: 978-981-951869-2
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 107 Seiten

Reihe: Mathematics and Statistics

This book introduces groupoids and -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.

Zielgruppe

Research

Autoren/Hrsg.

Epstein, Marcelo

Inhaltsverzeichnis

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.

Über Autor(innen)

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