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Knot Theory and Its Applications
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Librairie Eyrolles - Paris 5e

Knot Theory and Its Applications

Knot Theory and Its Applications

Kunio Murasugi

342 pages, parution le 15/01/1996


"The book ...develops knot theory from an intuitive geometric-combinatorial point of view, avoiding completely more advanced concepts and techniques from algebraic topology.... intended for readers without a considerable background in mathematics...particular attention is given to connections and applications to other natural sciences. Thus the emphasis is on a lucid and intuitive exposition accessible to a broader audience... The book, written in a stimulating and original style, will serve as a first approach to this interesting field for readers with various backgrounds in mathematics, physics, etc. It is the first text developing recent topics as the Jones polynomial and Vassiliev invariants on a level accessible also for non-specialists in the field."

Zentralblatt Math

"Noteworthy features here include applications to chemistry and biology and a final chapter on the very important Vassiliev invariants, a fairly late-breaking development. Murasugi, an expert of stature on knots, begins absolutely from first principles and avoids sophisticated terminology, but he writes in a careful and rigorous style."



  • Fundamental Concepts of Knot Theory
  • Knot Tables
  • Fundamental Problems of Knot Theory
  • Classical Knot Invariants
  • Seifert Matrices
  • Invariants from the Seifert matrix
  • Torus Knots
  • Creating Manifolds from Knots
  • Tangles and 2-Bridge Knots
  • The Theory of Braids
  • The Jones Revolution
  • Knots via Statistical Mechanics
  • Knot Theory in Molecular Biology
  • Graph Theory Applied to Chemistry
  • Vassiliev Invariants
  • Appendix
  • Appendix (I): a table of knots
  • Appendix (II): Alexander and Jones polynomials
Voir tout

Caractéristiques techniques

Éditeur(s) Birkhäuser
Auteur(s) Kunio Murasugi
Parution 15/01/1996
Nb. de pages 342
Format 16 x 24
Couverture Broché
Poids 640g
Intérieur Noir et Blanc
EAN13 9780817638177
ISBN13 978-0-8176-3817-7


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