Knots.
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Knots.

This 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are...

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Bibliographic Details
Main Authors: Burde, Gerhard, 1931- (Author), Zieschang, Heiner (Author), Heusener, Michael (Author)
Corporate Author: PALCI EBSCO books
Format: Online Book
Language:English
Published: Berlin ; Boston : Walter de Gruyter GmbH & Co. KG, 2013.
Edition:3rd [edition] /
Series:De Gruyter studies in mathematics.
Subjects:
Access:Online version
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Table of Contents:
  • Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Contents; Chapter 1: Knots and isotopies; Chapter 2: Geometric concepts; Chapter 3: Knot groups; Chapter 4: Commutator subgroup of a knot group; Chapter 5: Fibered knots; Chapter 6: A characterization of torus knots; Chapter 7: Factorization of knots; Chapter 8: Cyclic coverings and Alexander invariants; Chapter 9: Free differential calculus and Alexander matrices; Chapter 10: Braids; Chapter 11: Manifolds as branched coverings; Chapter 12: Montesinos links; Chapter 13: Quadratic forms of a knot.
  • Chapter 14: Representations of knot groupsChapter 15: Knots, knot manifolds, and knot groups; Chapter 16: Bridge number and companionship; Chapter 17: The 2-variable skein polynomial; Appendix A: Algebraic theorems; Appendix B: Theorems of 3-dimensional topology; Appendix C: Table; Appendix D: Knot projections 01-949; References; Author index; Glossary of Symbols; Index.