Handbook of Knot Theory

Menasco, William; Thistlethwaite, Morwen

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Table of contents
  • COVERCover
  • Handbook of Knot Theoryiii
  • Copyright Pageiv
  • Prefacev
  • List of Contributorsvii
  • Contentsix
  • Chapter 1. Hyperbolic Knots1
  • Chapter 2. Braids: A Survey19
  • Chapter 3. Legendrian and Transversal Knots105
  • Chapter 4. Knot Spinning187
  • Chapter 5. The Enumeration and Classification of Knots and Links209
  • Chapter 6. Knot Diagrammatics233
  • Chapter 7. A Survey of Classical Knot Concordance319
  • Chapter 8. Knot Theory of Complex Plane Curves349
  • Chapter 9. Thin Position in the Theory of Classical Knots429
  • Chapter 10. Computation of Hyperbolic Structures in Knot Theory461
  • Author Index481
  • Subject Index483
Book details
  • Vendor Elsevier S & T
  • SKU 9780444514523
  • ISBN-13 9780080459547
  • Author Menasco, William; Thistlethwaite, Morwen
  • Category Mathematics
  • Subject Discrete Mathematics

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This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry.

* Survey of mathematical knot theory
* Articles by leading world authorities
* Clear exposition, not over-technical
* Accessible to readers with undergraduate background in mathematics