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Quandles: An Introduction to the Algebra of Knots
 
Mohamed Elhamdadi University of South Florida, Tampa, FL
Sam Nelson Claremont McKenna College, Claremont, CA
Front Cover for Quandles
Available Formats:
Softcover ISBN: 978-1-4704-2213-4
Product Code: STML/74
245 pp 
List Price: $52.00
Individual Price: $41.60
Electronic ISBN: 978-1-4704-2572-2
Product Code: STML/74.E
245 pp 
List Price: $49.00
Individual Price: $39.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $78.00
Front Cover for Quandles
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  • Front Cover for Quandles
  • Back Cover for Quandles
Quandles: An Introduction to the Algebra of Knots
Mohamed Elhamdadi University of South Florida, Tampa, FL
Sam Nelson Claremont McKenna College, Claremont, CA
Available Formats:
Softcover ISBN:  978-1-4704-2213-4
Product Code:  STML/74
245 pp 
List Price: $52.00
Individual Price: $41.60
Electronic ISBN:  978-1-4704-2572-2
Product Code:  STML/74.E
245 pp 
List Price: $49.00
Individual Price: $39.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $78.00
  • Book Details
     
     
    Student Mathematical Library
    Volume: 742015
    MSC: Primary 57; 55; 20;

    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.

    Readership

    Undergraduate and graduate students and research mathematicians interested in low-dimensional topology, in particular, knot theory.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Knots and links
    • Chapter 2. Algebraic structures
    • Chapter 3. Quandles
    • Chapter 4. Quandles and groups
    • Chapter 5. Generalizations of quandles
    • Chapter 6. Enhancements
    • Chapter 7. Generalized knots and links
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Volume: 742015
MSC: Primary 57; 55; 20;

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.

Readership

Undergraduate and graduate students and research mathematicians interested in low-dimensional topology, in particular, knot theory.

  • Chapters
  • Chapter 1. Knots and links
  • Chapter 2. Algebraic structures
  • Chapter 3. Quandles
  • Chapter 4. Quandles and groups
  • Chapter 5. Generalizations of quandles
  • Chapter 6. Enhancements
  • Chapter 7. Generalized knots and links
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