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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
Quandles
Softcover ISBN:  978-1-4704-2213-4
Product Code:  STML/74
List Price: $59.00
Individual Price: $47.20
eBook ISBN:  978-1-4704-2572-2
Product Code:  STML/74.E
List Price: $49.00
Individual Price: $39.20
Softcover ISBN:  978-1-4704-2213-4
eBook: ISBN:  978-1-4704-2572-2
Product Code:  STML/74.B
List Price: $108.00 $83.50
Quandles
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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
Softcover ISBN:  978-1-4704-2213-4
Product Code:  STML/74
List Price: $59.00
Individual Price: $47.20
eBook ISBN:  978-1-4704-2572-2
Product Code:  STML/74.E
List Price: $49.00
Individual Price: $39.20
Softcover ISBN:  978-1-4704-2213-4
eBook ISBN:  978-1-4704-2572-2
Product Code:  STML/74.B
List Price: $108.00 $83.50
  • Book Details
     
     
    Student Mathematical Library
    Volume: 742015; 245 pp
    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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 742015; 245 pp
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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