Title: An Elementary Introduction to N-Fold Groupoids: Contextualized by Elastic Composites and Metamaterials (Paperback or Softback)
Publisher: Springer 1/21/2026
Publication Date: 2026
Language: English
ISBN 10: 9819518687
ISBN 13: 9789819518685
Binding: Paperback or Softback
Condition: New
Weight: 0.41 pounds
Book Type: Book

About this title

Synopsis

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.

About the Author

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

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