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Quandles: an introduction to the algebra of knots

From prehistory to the present, knots have been used for purposes both artistic and practical. The modern science of Knot Theory has ramifications for biochemistry and mathematical physics and is a rich source of research projects for undergraduate and graduate students and professionals alike. Quan...

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Detalles Bibliográficos
Autores principales: Elhamdadi, Mohamed, Nelson, Sam
Lenguaje:eng
Publicado: American Mathematical Society 2015
Materias:
Acceso en línea:http://cds.cern.ch/record/2264081
Descripción
Sumario:From prehistory to the present, knots have been used for purposes both artistic and practical. The modern science of Knot Theory has ramifications for biochemistry and mathematical physics and is a rich source of research projects for undergraduate and graduate students and professionals alike. Quandles are essentially knots translated into algebra. This book provides an accessible introduction to quandle theory for readers with a background in linear algebra. Important concepts from topology and abstract algebra motivated by quandle theory are introduced along the way. With elementary self-co