Volume: 74; 2015; 245 pp; Softcover
MSC: Primary 57; 55; 20;
Print ISBN: 978-1-4704-2213-4
Product Code: STML/74
List Price: $52.00
Individual Price: $41.60
Electronic ISBN: 978-1-4704-2572-2
Product Code: STML/74.E
List Price: $49.00
Individual Price: $39.20
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Supplemental Materials
Quandles: An Introduction to the Algebra of Knots
Share this pageMohamed Elhamdadi; Sam Nelson
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
Table of Contents
Quandles: An Introduction to the Algebra of Knots
- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Chapter 1. Knots and links 112
- Chapter 2. Algebraic structures 2738
- Chapter 3. Quandles 7384
- Chapter 4. Quandles and groups 107118
- Chapter 5. Generalizations of quandles 147158
- Chapter 6. Enhancements 173184
- Chapter 7. Generalized knots and links 207218
- Bibliography 237248
- Index 243254
- Back Cover Back Cover1257