Quandles: An Introduction to the Algebra of Knots

Mohamed Elhamdadi and Sam Nelson

ISBN: 9781470454869 | Year: 2019 | Paperback | Pages: 256 | Language : English

Book Size: 140 x 216 mm | Territorial Rights: Restricted| Series American Mathematical Society

Price: 1600.00

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.

Mohamed Elhamdadi: University of South Florida, Tampa, FL,
Sam Nelson: Claremont McKenna College, Claremont, CA

  • Contents 6
  • Preface 8
  • Chapter 1. Knots and links 12
  • Chapter 2. Algebraic structures 38
  • Chapter 3. Quandles 84
  • Chapter 4. Quandles and groups  118
  • Chapter 5. Generalizations of quandles 158
  • Chapter 6. Enhancements 184
  • Chapter 7. Generalized knots and links  218
  • Bibliography 248
  • Index 254