Knot Theory Book: Intro for Topology & Algebraic Topology

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SUMMARY

The discussion centers on finding an introductory book for knot theory, specifically for individuals with a background in topology and algebraic topology. The recommended text is "Knots and Links" by Dale Rolfsen, published by Cambridge in 2004, which is noted for its thorough and sophisticated treatment of the subject. This book is suitable for readers seeking a comprehensive understanding of knot theory without prior knowledge of the topic.

PREREQUISITES
  • Understanding of basic topology concepts
  • Familiarity with algebraic topology
  • Knowledge of mathematical notation and proofs
  • Interest in advanced mathematical theories
NEXT STEPS
  • Research additional knot theory texts such as "The Knot Book" by Colin Adams
  • Explore online courses on topology and algebraic topology
  • Study the applications of knot theory in various fields like biology and physics
  • Investigate software tools for visualizing knots and links
USEFUL FOR

This discussion is beneficial for mathematicians, students of topology, and anyone interested in deepening their understanding of knot theory through structured literature.

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I'm looking for an introductory book for knot theory. I have background in topology and algebraic topology. I would prefer a more sophisticated treatment, but I have no previous knowledge.
 
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Cromwell; "Knots and Links"; Cambridge, 2004, is thorough, sophisticated and up to date.
 

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