Quandles

Quandles : An Introduction to the Algebra of Knots

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Description

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-contained treatments of topics such as group theory, cohomology, knotted surfaces and more, this book is perfect for a transition course, an upper-division mathematics elective, preparation for research in knot theory, and any reader interested in knots.
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Product details

  • Paperback | 248 pages
  • 140 x 216 x 19.05mm | 294.84g
  • Providence, United States
  • English
  • 1470422131
  • 9781470422134
  • 994,515

Table of contents

Knots and links
Algebraic structures
Quandles
Quandles and groups
Generalizations of quandles
Enhancements
Generalizd knots and links
Bibliography
Index
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About Mohamed Elhamdadi

Mohamed Elhamdadi, University of South Florida, Tampa, FL, USA.

Sam Nelson, Claremont McKenna College, CA, USA.
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